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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.52', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[12531822321003912, 19358111333213666, 10522401710269773, 20283505689400384, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 5912944201328162], [16709096428005216, 34276507664980134, 32520889491977263, 29102942883328868, 29240918749009128, 9916938829910688, 12418411332085057, 5065169513898723, 31183452970442149], [12531822321003912, 12240920462628038, 43194811562478427, 31657219921590462, 33418192856010432, 34276453407065705, 26771799725561996, 32361516865507093, 2326806639737301], [20886370535006520, 12214737667163100, 15974244692546457, 4172650709056819, 25063644642007824, 2651134773468045, 17858232998260390, 21828357666484898, 28389981962416184], [37595466963011736, 40864628454244396, 42694561578303407, 25490957684785865, 8354548214002608, 42742297562968333, 15474118444829618, 5212685913479711, 17093423052384969], [37595466963011736, 41950965377329863, 39550259921078101, 27235576728633668, 8354548214002608, 34658009376857396, 26360297631331157, 35947654595077896, 4710503747057388], [20886370535006520, 24799972647010992, 15656710259202401, 38448306567650412, 25063644642007824, 5913283844201322, 22715180135666511, 10977434628055581, 27713706593886540], [12531822321003912, 2682490897125368, 39395088507186350, 31723843381395244, 33418192856010432, 4679795883930383, 5445284800850598, 29099313587102463, 20270777379665342]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 63888000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 330.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 33, 2, 1], [2, 363, 2, 1], [2, 1331, 2, 1], [3, 242, 1, 1], [5, 1, 4, 1], [5, 1331, 5, 4], [6, 242, 1, 1], [6, 2662, 2, 1], [10, 1, 4, 1], [10, 33, 8, 1], [10, 363, 8, 1], [10, 1331, 5, 4], [10, 1331, 8, 1], [10, 1331, 10, 4], [10, 3993, 10, 8], [11, 10, 1, 1], [11, 30, 1, 2], [11, 30, 10, 1], [11, 60, 1, 1], [11, 60, 5, 1], [11, 60, 10, 1], [15, 242, 4, 1], [15, 2662, 5, 4], [22, 10, 1, 1], [22, 30, 1, 2], [22, 30, 10, 1], [22, 60, 1, 1], [22, 60, 5, 1], [22, 60, 10, 1], [22, 330, 2, 2], [22, 330, 20, 1], [22, 3630, 2, 1], [30, 242, 4, 1], [30, 2662, 5, 4], [30, 2662, 8, 1], [30, 2662, 10, 4], [33, 2420, 1, 1], [55, 10, 4, 1], [55, 30, 4, 2], [55, 30, 40, 1], [55, 60, 4, 1], [55, 60, 20, 1], [55, 60, 40, 1], [66, 2420, 1, 1], [110, 10, 4, 1], [110, 30, 4, 2], [110, 30, 40, 1], [110, 60, 4, 1], [110, 60, 20, 1], [110, 60, 40, 1], [110, 330, 8, 2], [110, 330, 80, 1], [110, 3630, 8, 1], [165, 2420, 4, 1], [330, 2420, 4, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 33, 2], [2, 363, 2], [2, 1331, 2], [3, 242, 1], [5, 1, 4], [5, 1331, 20], [6, 242, 1], [6, 2662, 2], [10, 1, 4], [10, 33, 8], [10, 363, 8], [10, 1331, 68], [10, 3993, 80], [11, 10, 1], [11, 30, 12], [11, 60, 16], [15, 242, 4], [15, 2662, 20], [22, 10, 1], [22, 30, 12], [22, 60, 16], [22, 330, 24], [22, 3630, 2], [30, 242, 4], [30, 2662, 68], [33, 2420, 1], [55, 10, 4], [55, 30, 48], [55, 60, 64], [66, 2420, 1], [110, 10, 4], [110, 30, 48], [110, 60, 64], [110, 330, 96], [110, 3630, 8], [165, 2420, 4], [330, 2420, 4]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '79860.g', 'commutator_count': 1, 'commutator_label': '3993.6', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '5.1', '5.1', '11.1', '11.1', '11.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 9, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['5.1', 1], ['79860.g', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 33, 1, 2], [2, 363, 1, 2], [2, 1331, 1, 2], [3, 242, 1, 1], [5, 1, 4, 1], [5, 1331, 4, 5], [6, 242, 1, 1], [6, 2662, 1, 2], [10, 1, 4, 1], [10, 33, 4, 2], [10, 363, 4, 2], [10, 1331, 4, 17], [10, 3993, 4, 20], [11, 10, 1, 1], [11, 30, 1, 12], [11, 60, 1, 16], [15, 242, 4, 1], [15, 2662, 4, 5], [22, 10, 1, 1], [22, 30, 1, 12], [22, 60, 1, 16], [22, 330, 1, 24], [22, 3630, 1, 2], [30, 242, 4, 1], [30, 2662, 4, 17], [33, 2420, 1, 1], [55, 10, 4, 1], [55, 30, 4, 12], [55, 60, 4, 16], [66, 2420, 1, 1], [110, 10, 4, 1], [110, 30, 4, 12], [110, 60, 4, 16], [110, 330, 4, 24], [110, 3630, 4, 2], [165, 2420, 4, 1], [330, 2420, 4, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': None, 'exponent': 330, 'exponents_of_order': [3, 3, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': [[30, 0, 80], [60, 0, 60]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '798600.i', 'hash': 3422282137891332107, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [1, 10, 10, 30, 1, 11, 11, 11, 5], 'inner_gens': [[12531822321003912, 19358111333213666, 10522401710269773, 20283505689400384, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 5912944201328162], [12531822321003912, 19358111333213666, 13670621100413654, 11516284109019977, 33418192856010432, 17239527064479801, 30035389480921159, 42568624234005174, 8266640929675533], [12531822321003912, 25921905219956196, 10522401710269773, 26375648796824317, 33418192856010432, 42891146272563895, 26126965308031858, 45451992243043449, 43745275600511749], [12531822321003912, 15681347858950854, 37678271249731280, 20283505689400384, 33418192856010432, 1531656888644363, 25596195191350702, 8269385602214435, 6445834230877611], [12531822321003912, 19358111333213666, 10522401710269773, 20283505689400384, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 5912944201328162], [12531822321003912, 18181120304346870, 38258784811600803, 37960645460909649, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 6443374818154525], [12531822321003912, 9417475222423888, 12344066370653464, 44754555010279833, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 41127567222052213], [12531822321003912, 44631079532766360, 18755875514225348, 9693813549698132, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 41922377452032715], [12531822321003912, 17154781781066514, 13140307079051117, 34167653853121506, 33418192856010432, 20123654429140706, 14708290010338879, 27238780040815509, 5912944201328162]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 79860, 'inner_split': None, 'inner_tex': 'C_{11}^3:(S_3\\times C_{10})', 'inner_used': None, 'irrC_degree': 30, 'irrQ_degree': 120, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 200], [2, 100], [10, 20], [20, 10], [30, 240], [60, 160]], 'label': '798600.i', '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': False, 'metacyclic': False, 'monomial': None, 'name': 'C11^3:(S3*C10^2)', 'ngens': 9, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 88, 'number_characteristic_subgroups': 45, 'number_conjugacy_classes': 730, 'number_divisions': 256, 'number_normal_subgroups': 190, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 798600, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 3455], [3, 242], [5, 26624], [6, 5566], [10, 413120], [11, 1330], [15, 54208], [22, 16510], [30, 181984], [33, 2420], [55, 5320], [66, 2420], [110, 66040], [165, 9680], [330, 9680]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '800.1204', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 800, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^2\\times C_{10}\\times F_5', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 4], [4, 48], [8, 24], [10, 4], [20, 2], [30, 48], [40, 4], [60, 32], [80, 2], [120, 48], [240, 32]], 'representations': {'PC': {'code': '31604515881349254106337098671025999532963447253957555619836240604850642716357777911207517603740219760224589150850931104697896923625616727872397149815838462421604537731263758021030199039', 'gens': [1, 3, 5, 6, 7], 'pres': [9, 2, 5, 2, 3, 11, 11, 2, 5, 11, 18, 15806072, 4963826, 74, 10645923, 7888692, 13240804, 5413, 685822, 984721, 23522405, 71294, 1179707, 588092, 5155926, 18523905, 519774, 488598, 186, 11784967, 13590736, 1188025, 1116754, 430, 427688, 11761217, 37448, 2959046]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12531822321003912, 19358111333213666, 10522401710269773, 20283505689400384, 33418192856010432, 19063078487671420, 4764541194236758, 17298483428108842, 5912944201328162]}, 'Perm': {'d': 40, 'gens': [888, 22587945011617929389281585588038959323586651454, 2725340366407864009763253182853225662912161855, 889, 44048196948066972613347802723464043253876717689, 22615472518590050733052389151968013474813038966, 64996937020438363316454176343671898825286926720, 151783914402746042512916686060858154771505967, 85285084908522895436567597976169434541417094646]}}, 'schur_multiplier': [2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 1, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^3:(S_3\\times C_{10}^2)', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 95761030
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 9, 'group_order': 798600, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 4177274107001304, 'size': 1}
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id: 95761141
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 9, 'group_order': 798600, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 41772741070013040, 'size': 1}
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id: 95761252
{'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 9, 'group_order': 798600, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 2865956939595090, 'size': 33}
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id: 95761363
{'aut_label': '2B', 'centralizer': None, 'counter': 4, 'group_counter': 9, 'group_order': 798600, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 1694182064249598, 'size': 33}
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id: 95761474
{'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 9, 'group_order': 798600, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5], 'representative': 35174113123486296, 'size': 363}
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id: 95761585
{'aut_label': '2D', 'centralizer': None, 'counter': 6, 'group_counter': 9, 'group_order': 798600, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6], 'representative': 10039182627776993, 'size': 363}
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id: 95761696
{'aut_label': '2F', 'centralizer': None, 'counter': 7, 'group_counter': 9, 'group_order': 798600, 'label': '2F', 'order': 2, 'powers': [1, 7, 7, 7], 'representative': 12035497087946594, 'size': 1331}
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id: 95761738
{'aut_label': '2F', 'centralizer': None, 'counter': 8, 'group_counter': 9, 'group_order': 798600, 'label': '2G', 'order': 2, 'powers': [1, 8, 8, 8], 'representative': 7625987262268715, 'size': 1331}
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id: 95761749
{'aut_label': '3A', 'centralizer': None, 'counter': 9, 'group_counter': 9, 'group_order': 798600, 'label': '3A', 'order': 3, 'powers': [9, 1, 9, 9], 'representative': 30350356581147078, 'size': 242}
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id: 95761031
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 9, 'group_order': 798600, 'label': '5A1', 'order': 5, 'powers': [12, 13, 1, 10], 'representative': 16709096428005216, 'size': 1}
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id: 95761042
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 9, 'group_order': 798600, 'label': '5A-1', 'order': 5, 'powers': [13, 12, 1, 11], 'representative': 12531822321003912, 'size': 1}
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id: 95761053
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 9, 'group_order': 798600, 'label': '5A2', 'order': 5, 'powers': [11, 10, 1, 12], 'representative': 20886370535006520, 'size': 1}
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id: 95761064
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 9, 'group_order': 798600, 'label': '5A-2', 'order': 5, 'powers': [10, 11, 1, 13], 'representative': 37595466963011736, 'size': 1}
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id: 95761075
{'aut_label': '5B1', 'centralizer': None, 'counter': 14, 'group_counter': 9, 'group_order': 798600, 'label': '5B1', 'order': 5, 'powers': [16, 17, 1, 14], 'representative': 16594666828886001, 'size': 1331}
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id: 95761086
{'aut_label': '5B-1', 'centralizer': None, 'counter': 15, 'group_counter': 9, 'group_order': 798600, 'label': '5B-1', 'order': 5, 'powers': [17, 16, 1, 15], 'representative': 20240123940515946, 'size': 1331}
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id: 95761097
{'aut_label': '5B2', 'centralizer': None, 'counter': 16, 'group_counter': 9, 'group_order': 798600, 'label': '5B2', 'order': 5, 'powers': [15, 14, 1, 16], 'representative': 41658311469122253, 'size': 1331}
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id: 95761108
{'aut_label': '5B-2', 'centralizer': None, 'counter': 17, 'group_counter': 9, 'group_order': 798600, 'label': '5B-2', 'order': 5, 'powers': [14, 15, 1, 17], 'representative': 22596251566690717, 'size': 1331}
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id: 95761119
{'aut_label': '5B1', 'centralizer': None, 'counter': 18, 'group_counter': 9, 'group_order': 798600, 'label': '5C1', 'order': 5, 'powers': [20, 21, 1, 18], 'representative': 31068315844315647, 'size': 1331}
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id: 95761130
{'aut_label': '5B-1', 'centralizer': None, 'counter': 19, 'group_counter': 9, 'group_order': 798600, 'label': '5C-1', 'order': 5, 'powers': [21, 20, 1, 19], 'representative': 32008183389193040, 'size': 1331}
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id: 95761142
{'aut_label': '5B2', 'centralizer': None, 'counter': 20, 'group_counter': 9, 'group_order': 798600, 'label': '5C2', 'order': 5, 'powers': [19, 18, 1, 20], 'representative': 38071860250716609, 'size': 1331}
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id: 95761153
{'aut_label': '5B-2', 'centralizer': None, 'counter': 21, 'group_counter': 9, 'group_order': 798600, 'label': '5C-2', 'order': 5, 'powers': [18, 19, 1, 21], 'representative': 41713450097355122, 'size': 1331}
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id: 95761164
{'aut_label': '5B-2', 'centralizer': None, 'counter': 22, 'group_counter': 9, 'group_order': 798600, 'label': '5D1', 'order': 5, 'powers': [24, 25, 1, 22], 'representative': 9708037509296882, 'size': 1331}
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id: 95761175
{'aut_label': '5B2', 'centralizer': None, 'counter': 23, 'group_counter': 9, 'group_order': 798600, 'label': '5D-1', 'order': 5, 'powers': [25, 24, 1, 23], 'representative': 32007869662500511, 'size': 1331}
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id: 95761186
{'aut_label': '5B1', 'centralizer': None, 'counter': 24, 'group_counter': 9, 'group_order': 798600, 'label': '5D2', 'order': 5, 'powers': [23, 22, 1, 24], 'representative': 3241198379392330, 'size': 1331}
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id: 95761197
{'aut_label': '5B-1', 'centralizer': None, 'counter': 25, 'group_counter': 9, 'group_order': 798600, 'label': '5D-2', 'order': 5, 'powers': [22, 23, 1, 25], 'representative': 20390045301949191, 'size': 1331}
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id: 95761208
{'aut_label': '5B1', 'centralizer': None, 'counter': 26, 'group_counter': 9, 'group_order': 798600, 'label': '5E1', 'order': 5, 'powers': [28, 29, 1, 26], 'representative': 30359663496038126, 'size': 1331}
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id: 95761219
{'aut_label': '5B-1', 'centralizer': None, 'counter': 27, 'group_counter': 9, 'group_order': 798600, 'label': '5E-1', 'order': 5, 'powers': [29, 28, 1, 27], 'representative': 43069393895059384, 'size': 1331}
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id: 95761230
{'aut_label': '5B2', 'centralizer': None, 'counter': 28, 'group_counter': 9, 'group_order': 798600, 'label': '5E2', 'order': 5, 'powers': [27, 26, 1, 28], 'representative': 15829857168872600, 'size': 1331}
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id: 95761241
{'aut_label': '5B-2', 'centralizer': None, 'counter': 29, 'group_counter': 9, 'group_order': 798600, 'label': '5E-2', 'order': 5, 'powers': [26, 27, 1, 29], 'representative': 10212285282506476, 'size': 1331}
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id: 95761253
{'aut_label': '5B1', 'centralizer': None, 'counter': 30, 'group_counter': 9, 'group_order': 798600, 'label': '5F1', 'order': 5, 'powers': [32, 33, 1, 30], 'representative': 36482294212772519, 'size': 1331}
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id: 95761264
{'aut_label': '5B-1', 'centralizer': None, 'counter': 31, 'group_counter': 9, 'group_order': 798600, 'label': '5F-1', 'order': 5, 'powers': [33, 32, 1, 31], 'representative': 22418421224097521, 'size': 1331}
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id: 95761275
{'aut_label': '5B2', 'centralizer': None, 'counter': 32, 'group_counter': 9, 'group_order': 798600, 'label': '5F2', 'order': 5, 'powers': [31, 30, 1, 32], 'representative': 35716411427592170, 'size': 1331}
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id: 95761286
{'aut_label': '5B-2', 'centralizer': None, 'counter': 33, 'group_counter': 9, 'group_order': 798600, 'label': '5F-2', 'order': 5, 'powers': [30, 31, 1, 33], 'representative': 1532336000761612, 'size': 1331}
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id: 95761297
{'aut_label': '6A', 'centralizer': None, 'counter': 34, 'group_counter': 9, 'group_order': 798600, 'label': '6A', 'order': 6, 'powers': [9, 2, 34, 34], 'representative': 45315588812590494, 'size': 242}
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id: 95761308
{'aut_label': '6B', 'centralizer': None, 'counter': 35, 'group_counter': 9, 'group_order': 798600, 'label': '6B', 'order': 6, 'powers': [9, 7, 35, 35], 'representative': 28576124191786245, 'size': 2662}
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id: 95761319
{'aut_label': '6B', 'centralizer': None, 'counter': 36, 'group_counter': 9, 'group_order': 798600, 'label': '6C', 'order': 6, 'powers': [9, 8, 36, 36], 'representative': 34045233472979034, 'size': 2662}
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id: 95761330
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id: 95761341
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 9, 'group_order': 798600, 'label': '10A-1', 'order': 10, 'powers': [11, 40, 2, 38], 'representative': 25063644642007824, 'size': 1}
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id: 95761352
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 9, 'group_order': 798600, 'label': '10A3', 'order': 10, 'powers': [13, 38, 2, 39], 'representative': 33418192856010432, 'size': 1}
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id: 95761364
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 9, 'group_order': 798600, 'label': '10A-3', 'order': 10, 'powers': [12, 37, 2, 40], 'representative': 29240918749009128, 'size': 1}
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id: 95761375
{'aut_label': '10B1', 'centralizer': None, 'counter': 41, 'group_counter': 9, 'group_order': 798600, 'label': '10B1', 'order': 10, 'powers': [11, 43, 3, 41], 'representative': 1038535163105506, 'size': 33}
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id: 95761386
{'aut_label': '10B1', 'centralizer': None, 'counter': 42, 'group_counter': 9, 'group_order': 798600, 'label': '10B-1', 'order': 10, 'powers': [10, 44, 3, 42], 'representative': 3385223342173332, 'size': 33}
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id: 95761397
{'aut_label': '10B1', 'centralizer': None, 'counter': 43, 'group_counter': 9, 'group_order': 798600, 'label': '10B3', 'order': 10, 'powers': [12, 42, 3, 43], 'representative': 2349828965393690, 'size': 33}
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id: 95761408
{'aut_label': '10B1', 'centralizer': None, 'counter': 44, 'group_counter': 9, 'group_order': 798600, 'label': '10B-3', 'order': 10, 'powers': [13, 41, 3, 44], 'representative': 4040870243317424, 'size': 33}
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id: 95761419
{'aut_label': '10B1', 'centralizer': None, 'counter': 45, 'group_counter': 9, 'group_order': 798600, 'label': '10C1', 'order': 10, 'powers': [13, 47, 4, 45], 'representative': 519268760527264, 'size': 33}
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id: 95761430
{'aut_label': '10B1', 'centralizer': None, 'counter': 46, 'group_counter': 9, 'group_order': 798600, 'label': '10C-1', 'order': 10, 'powers': [12, 48, 4, 46], 'representative': 2210310038450998, 'size': 33}
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id: 95761441
{'aut_label': '10B1', 'centralizer': None, 'counter': 47, 'group_counter': 9, 'group_order': 798600, 'label': '10C3', 'order': 10, 'powers': [11, 46, 4, 47], 'representative': 3521603840739182, 'size': 33}
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id: 95761452
{'aut_label': '10B1', 'centralizer': None, 'counter': 48, 'group_counter': 9, 'group_order': 798600, 'label': '10C-3', 'order': 10, 'powers': [10, 45, 4, 48], 'representative': 1174915661671356, 'size': 33}
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id: 95761463
{'aut_label': '10D1', 'centralizer': None, 'counter': 49, 'group_counter': 9, 'group_order': 798600, 'label': '10D1', 'order': 10, 'powers': [12, 51, 5, 49], 'representative': 34523853376735077, 'size': 363}
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id: 95761475
{'aut_label': '10D1', 'centralizer': None, 'counter': 50, 'group_counter': 9, 'group_order': 798600, 'label': '10D-1', 'order': 10, 'powers': [13, 52, 5, 50], 'representative': 27792266903020339, 'size': 363}
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id: 95761486
{'aut_label': '10D1', 'centralizer': None, 'counter': 51, 'group_counter': 9, 'group_order': 798600, 'label': '10D3', 'order': 10, 'powers': [10, 50, 5, 51], 'representative': 33246684224505008, 'size': 363}
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id: 95761497
{'aut_label': '10D1', 'centralizer': None, 'counter': 52, 'group_counter': 9, 'group_order': 798600, 'label': '10D-3', 'order': 10, 'powers': [11, 49, 5, 52], 'representative': 45052624366489620, 'size': 363}
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id: 95761508
{'aut_label': '10D1', 'centralizer': None, 'counter': 53, 'group_counter': 9, 'group_order': 798600, 'label': '10E1', 'order': 10, 'powers': [11, 55, 6, 53], 'representative': 15570521390530851, 'size': 363}
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id: 95761519
{'aut_label': '10D1', 'centralizer': None, 'counter': 54, 'group_counter': 9, 'group_order': 798600, 'label': '10E-1', 'order': 10, 'powers': [10, 56, 6, 54], 'representative': 7977288481111168, 'size': 363}
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id: 95761530
{'aut_label': '10D1', 'centralizer': None, 'counter': 55, 'group_counter': 9, 'group_order': 798600, 'label': '10E3', 'order': 10, 'powers': [12, 54, 6, 55], 'representative': 38356496975572382, 'size': 363}
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id: 95761541
{'aut_label': '10D1', 'centralizer': None, 'counter': 56, 'group_counter': 9, 'group_order': 798600, 'label': '10E-3', 'order': 10, 'powers': [13, 53, 6, 56], 'representative': 19370276371068454, 'size': 363}
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id: 95761552
{'aut_label': '10F1', 'centralizer': None, 'counter': 57, 'group_counter': 9, 'group_order': 798600, 'label': '10F1', 'order': 10, 'powers': [22, 59, 7, 57], 'representative': 23653321450269464, 'size': 1331}
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id: 95761563
{'aut_label': '10F-1', 'centralizer': None, 'counter': 58, 'group_counter': 9, 'group_order': 798600, 'label': '10F-1', 'order': 10, 'powers': [23, 60, 7, 58], 'representative': 6504759858870374, 'size': 1331}
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id: 95761574
{'aut_label': '10F3', 'centralizer': None, 'counter': 59, 'group_counter': 9, 'group_order': 798600, 'label': '10F3', 'order': 10, 'powers': [25, 58, 7, 59], 'representative': 35685394777056394, 'size': 1331}
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id: 95761586
{'aut_label': '10F-3', 'centralizer': None, 'counter': 60, 'group_counter': 9, 'group_order': 798600, 'label': '10F-3', 'order': 10, 'powers': [24, 57, 7, 60], 'representative': 13006095742220883, 'size': 1331}
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id: 95761597
{'aut_label': '10F1', 'centralizer': None, 'counter': 61, 'group_counter': 9, 'group_order': 798600, 'label': '10G1', 'order': 10, 'powers': [17, 63, 7, 61], 'representative': 13445846431645580, 'size': 1331}
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id: 95761608
{'aut_label': '10F-1', 'centralizer': None, 'counter': 62, 'group_counter': 9, 'group_order': 798600, 'label': '10G-1', 'order': 10, 'powers': [16, 64, 7, 62], 'representative': 41715881214709797, 'size': 1331}
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id: 95761619
{'aut_label': '10F3', 'centralizer': None, 'counter': 63, 'group_counter': 9, 'group_order': 798600, 'label': '10G3', 'order': 10, 'powers': [15, 62, 7, 63], 'representative': 45453404630514843, 'size': 1331}
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id: 95761630
{'aut_label': '10F-3', 'centralizer': None, 'counter': 64, 'group_counter': 9, 'group_order': 798600, 'label': '10G-3', 'order': 10, 'powers': [14, 61, 7, 64], 'representative': 38948956256534438, 'size': 1331}
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id: 95761641
{'aut_label': '10F-3', 'centralizer': None, 'counter': 65, 'group_counter': 9, 'group_order': 798600, 'label': '10H1', 'order': 10, 'powers': [26, 67, 7, 65], 'representative': 22922015895887946, 'size': 1331}
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id: 95761652
{'aut_label': '10F3', 'centralizer': None, 'counter': 66, 'group_counter': 9, 'group_order': 798600, 'label': '10H-1', 'order': 10, 'powers': [27, 68, 7, 66], 'representative': 17270180671623912, 'size': 1331}
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id: 95761663
{'aut_label': '10F1', 'centralizer': None, 'counter': 67, 'group_counter': 9, 'group_order': 798600, 'label': '10H3', 'order': 10, 'powers': [29, 66, 7, 67], 'representative': 35976949856373416, 'size': 1331}
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id: 95761674
{'aut_label': '10F-1', 'centralizer': None, 'counter': 68, 'group_counter': 9, 'group_order': 798600, 'label': '10H-3', 'order': 10, 'powers': [28, 65, 7, 68], 'representative': 2737235916081786, 'size': 1331}
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id: 95761685
{'aut_label': '10I1', 'centralizer': None, 'counter': 69, 'group_counter': 9, 'group_order': 798600, 'label': '10I1', 'order': 10, 'powers': [11, 71, 7, 69], 'representative': 1915250125246447, 'size': 1331}
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id: 95761697
{'aut_label': '10I1', 'centralizer': None, 'counter': 70, 'group_counter': 9, 'group_order': 798600, 'label': '10I-1', 'order': 10, 'powers': [10, 72, 7, 70], 'representative': 3448373684077267, 'size': 1331}
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id: 95761708
{'aut_label': '10I1', 'centralizer': None, 'counter': 71, 'group_counter': 9, 'group_order': 798600, 'label': '10I3', 'order': 10, 'powers': [12, 70, 7, 71], 'representative': 1533408870677244, 'size': 1331}
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id: 95761719
{'aut_label': '10I1', 'centralizer': None, 'counter': 72, 'group_counter': 9, 'group_order': 798600, 'label': '10I-3', 'order': 10, 'powers': [13, 69, 7, 72], 'representative': 1151567616093400, 'size': 1331}
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id: 95761730
{'aut_label': '10J1', 'centralizer': None, 'counter': 73, 'group_counter': 9, 'group_order': 798600, 'label': '10J1', 'order': 10, 'powers': [23, 75, 2, 73], 'representative': 39713765961156427, 'size': 1331}
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id: 95761732
{'aut_label': '10J-1', 'centralizer': None, 'counter': 74, 'group_counter': 9, 'group_order': 798600, 'label': '10J-1', 'order': 10, 'powers': [22, 76, 2, 74], 'representative': 11182464200344343, 'size': 1331}
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id: 95761733
{'aut_label': '10J3', 'centralizer': None, 'counter': 75, 'group_counter': 9, 'group_order': 798600, 'label': '10J3', 'order': 10, 'powers': [24, 74, 2, 75], 'representative': 2473250246393499, 'size': 1331}
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id: 95761734
{'aut_label': '10J-3', 'centralizer': None, 'counter': 76, 'group_counter': 9, 'group_order': 798600, 'label': '10J-3', 'order': 10, 'powers': [25, 73, 2, 76], 'representative': 22330146078840842, 'size': 1331}
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id: 95761735
{'aut_label': '10F-3', 'centralizer': None, 'counter': 77, 'group_counter': 9, 'group_order': 798600, 'label': '10K1', 'order': 10, 'powers': [30, 79, 8, 77], 'representative': 41043894804836964, 'size': 1331}
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id: 95761736
{'aut_label': '10F3', 'centralizer': None, 'counter': 78, 'group_counter': 9, 'group_order': 798600, 'label': '10K-1', 'order': 10, 'powers': [31, 80, 8, 78], 'representative': 22035846555033253, 'size': 1331}
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id: 95761737
{'aut_label': '10F1', 'centralizer': None, 'counter': 79, 'group_counter': 9, 'group_order': 798600, 'label': '10K3', 'order': 10, 'powers': [33, 78, 8, 79], 'representative': 16363503876226344, 'size': 1331}
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id: 95761739
{'aut_label': '10F-1', 'centralizer': None, 'counter': 80, 'group_counter': 9, 'group_order': 798600, 'label': '10K-3', 'order': 10, 'powers': [32, 77, 8, 80], 'representative': 17475604065792527, 'size': 1331}
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id: 95761740
{'aut_label': '10J-1', 'centralizer': None, 'counter': 81, 'group_counter': 9, 'group_order': 798600, 'label': '10L1', 'order': 10, 'powers': [29, 83, 2, 81], 'representative': 33537461062224898, 'size': 1331}
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id: 95761741
{'aut_label': '10J1', 'centralizer': None, 'counter': 82, 'group_counter': 9, 'group_order': 798600, 'label': '10L-1', 'order': 10, 'powers': [28, 84, 2, 82], 'representative': 20977390171163307, 'size': 1331}
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id: 95761742
{'aut_label': '10J-3', 'centralizer': None, 'counter': 83, 'group_counter': 9, 'group_order': 798600, 'label': '10L3', 'order': 10, 'powers': [27, 82, 2, 83], 'representative': 4472306975748326, 'size': 1331}
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id: 95761743
{'aut_label': '10J3', 'centralizer': None, 'counter': 84, 'group_counter': 9, 'group_order': 798600, 'label': '10L-3', 'order': 10, 'powers': [26, 81, 2, 84], 'representative': 147516542439403, 'size': 1331}
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id: 95761744
{'aut_label': '10F-1', 'centralizer': None, 'counter': 85, 'group_counter': 9, 'group_order': 798600, 'label': '10M1', 'order': 10, 'powers': [20, 87, 7, 85], 'representative': 25416900572121892, 'size': 1331}
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id: 95761745
{'aut_label': '10F1', 'centralizer': None, 'counter': 86, 'group_counter': 9, 'group_order': 798600, 'label': '10M-1', 'order': 10, 'powers': [21, 88, 7, 86], 'representative': 8707804144116676, 'size': 1331}
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id: 95761746
{'aut_label': '10F-3', 'centralizer': None, 'counter': 87, 'group_counter': 9, 'group_order': 798600, 'label': '10M3', 'order': 10, 'powers': [18, 86, 7, 87], 'representative': 29417417036694118, 'size': 1331}
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id: 95761747
{'aut_label': '10F3', 'centralizer': None, 'counter': 88, 'group_counter': 9, 'group_order': 798600, 'label': '10M-3', 'order': 10, 'powers': [19, 85, 7, 88], 'representative': 33594691143695422, 'size': 1331}
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id: 95761748
{'aut_label': '10F1', 'centralizer': None, 'counter': 89, 'group_counter': 9, 'group_order': 798600, 'label': '10N1', 'order': 10, 'powers': [21, 91, 8, 89], 'representative': 474273448110070, 'size': 1331}
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id: 95761750
{'aut_label': '10F-1', 'centralizer': None, 'counter': 90, 'group_counter': 9, 'group_order': 798600, 'label': '10N-1', 'order': 10, 'powers': [20, 92, 8, 90], 'representative': 29715192197119187, 'size': 1331}
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id: 95761751
{'aut_label': '10F3', 'centralizer': None, 'counter': 91, 'group_counter': 9, 'group_order': 798600, 'label': '10N3', 'order': 10, 'powers': [19, 90, 8, 91], 'representative': 19036296871906639, 'size': 1331}
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id: 95761752
{'aut_label': '10F-3', 'centralizer': None, 'counter': 92, 'group_counter': 9, 'group_order': 798600, 'label': '10N-3', 'order': 10, 'powers': [18, 89, 8, 92], 'representative': 23213570977136382, 'size': 1331}
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id: 95761753
{'aut_label': '10J3', 'centralizer': None, 'counter': 93, 'group_counter': 9, 'group_order': 798600, 'label': '10O1', 'order': 10, 'powers': [18, 95, 2, 93], 'representative': 26359958090570619, 'size': 1331}
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id: 95761754
{'aut_label': '10J-3', 'centralizer': None, 'counter': 94, 'group_counter': 9, 'group_order': 798600, 'label': '10O-1', 'order': 10, 'powers': [19, 96, 2, 94], 'representative': 40893555854434630, 'size': 1331}
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id: 95761755
{'aut_label': '10J-1', 'centralizer': None, 'counter': 95, 'group_counter': 9, 'group_order': 798600, 'label': '10O3', 'order': 10, 'powers': [21, 94, 2, 95], 'representative': 38155219014498057, 'size': 1331}
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id: 95761756
{'aut_label': '10J1', 'centralizer': None, 'counter': 96, 'group_counter': 9, 'group_order': 798600, 'label': '10O-3', 'order': 10, 'powers': [20, 93, 2, 96], 'representative': 45807391358512408, 'size': 1331}
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id: 95761757
{'aut_label': '10F-3', 'centralizer': None, 'counter': 97, 'group_counter': 9, 'group_order': 798600, 'label': '10P1', 'order': 10, 'powers': [30, 99, 7, 97], 'representative': 19064491089517788, 'size': 1331}
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id: 95761758
{'aut_label': '10F3', 'centralizer': None, 'counter': 98, 'group_counter': 9, 'group_order': 798600, 'label': '10P-1', 'order': 10, 'powers': [31, 100, 7, 98], 'representative': 13595143056612992, 'size': 1331}
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id: 95761759
{'aut_label': '10F1', 'centralizer': None, 'counter': 99, 'group_counter': 9, 'group_order': 798600, 'label': '10P3', 'order': 10, 'powers': [33, 98, 7, 99], 'representative': 38774603819142342, 'size': 1331}
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id: 95761032
{'aut_label': '10F-1', 'centralizer': None, 'counter': 100, 'group_counter': 9, 'group_order': 798600, 'label': '10P-3', 'order': 10, 'powers': [32, 97, 7, 100], 'representative': 23125663546408980, 'size': 1331}
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id: 95761033
{'aut_label': '10F1', 'centralizer': None, 'counter': 101, 'group_counter': 9, 'group_order': 798600, 'label': '10Q1', 'order': 10, 'powers': [17, 103, 8, 101], 'representative': 16417855141116515, 'size': 1331}
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id: 95761034
{'aut_label': '10F-1', 'centralizer': None, 'counter': 102, 'group_counter': 9, 'group_order': 798600, 'label': '10Q-1', 'order': 10, 'powers': [16, 104, 8, 102], 'representative': 44424269568882672, 'size': 1331}
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id: 95761035
{'aut_label': '10F3', 'centralizer': None, 'counter': 103, 'group_counter': 9, 'group_order': 798600, 'label': '10Q3', 'order': 10, 'powers': [15, 102, 8, 103], 'representative': 25772299494810253, 'size': 1331}
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id: 95761036
{'aut_label': '10F-3', 'centralizer': None, 'counter': 104, 'group_counter': 9, 'group_order': 798600, 'label': '10Q-3', 'order': 10, 'powers': [14, 101, 8, 104], 'representative': 1651943590880207, 'size': 1331}
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id: 95761037
{'aut_label': '10J3', 'centralizer': None, 'counter': 105, 'group_counter': 9, 'group_order': 798600, 'label': '10R1', 'order': 10, 'powers': [30, 107, 2, 105], 'representative': 44836163337848134, 'size': 1331}
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id: 95761038
{'aut_label': '10J-3', 'centralizer': None, 'counter': 106, 'group_counter': 9, 'group_order': 798600, 'label': '10R-1', 'order': 10, 'powers': [31, 108, 2, 106], 'representative': 29624566355963685, 'size': 1331}
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id: 95761039
{'aut_label': '10J-1', 'centralizer': None, 'counter': 107, 'group_counter': 9, 'group_order': 798600, 'label': '10R3', 'order': 10, 'powers': [33, 106, 2, 107], 'representative': 23950078114512225, 'size': 1331}
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id: 95761040
{'aut_label': '10J1', 'centralizer': None, 'counter': 108, 'group_counter': 9, 'group_order': 798600, 'label': '10R-3', 'order': 10, 'powers': [32, 105, 2, 108], 'representative': 6092918152362548, 'size': 1331}
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id: 95761041
{'aut_label': '10I1', 'centralizer': None, 'counter': 109, 'group_counter': 9, 'group_order': 798600, 'label': '10S1', 'order': 10, 'powers': [13, 111, 8, 109], 'representative': 16948705331712711, 'size': 1331}
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id: 95761043
{'aut_label': '10I1', 'centralizer': None, 'counter': 110, 'group_counter': 9, 'group_order': 798600, 'label': '10S-1', 'order': 10, 'powers': [12, 112, 8, 110], 'representative': 37892959358660947, 'size': 1331}
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id: 95761044
{'aut_label': '10I1', 'centralizer': None, 'counter': 111, 'group_counter': 9, 'group_order': 798600, 'label': '10S3', 'order': 10, 'powers': [11, 110, 8, 111], 'representative': 12884344859813050, 'size': 1331}
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id: 95761045
{'aut_label': '10I1', 'centralizer': None, 'counter': 112, 'group_counter': 9, 'group_order': 798600, 'label': '10S-3', 'order': 10, 'powers': [10, 109, 8, 112], 'representative': 4444398189461548, 'size': 1331}
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id: 95761046
{'aut_label': '10F-3', 'centralizer': None, 'counter': 113, 'group_counter': 9, 'group_order': 798600, 'label': '10T1', 'order': 10, 'powers': [24, 115, 8, 113], 'representative': 44099941367353084, 'size': 1331}
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id: 95761047
{'aut_label': '10F3', 'centralizer': None, 'counter': 114, 'group_counter': 9, 'group_order': 798600, 'label': '10T-1', 'order': 10, 'powers': [25, 116, 8, 114], 'representative': 11595746566501839, 'size': 1331}
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id: 95761048
{'aut_label': '10F1', 'centralizer': None, 'counter': 115, 'group_counter': 9, 'group_order': 798600, 'label': '10T3', 'order': 10, 'powers': [22, 114, 8, 115], 'representative': 41276130643181808, 'size': 1331}
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id: 95761049
{'aut_label': '10F-1', 'centralizer': None, 'counter': 116, 'group_counter': 9, 'group_order': 798600, 'label': '10T-3', 'order': 10, 'powers': [23, 113, 8, 116], 'representative': 1353774633857984, 'size': 1331}
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id: 95761050
{'aut_label': '10J-1', 'centralizer': None, 'counter': 117, 'group_counter': 9, 'group_order': 798600, 'label': '10U1', 'order': 10, 'powers': [17, 119, 2, 117], 'representative': 39068931684713253, 'size': 1331}
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id: 95761051
{'aut_label': '10J1', 'centralizer': None, 'counter': 118, 'group_counter': 9, 'group_order': 798600, 'label': '10U-1', 'order': 10, 'powers': [16, 120, 2, 118], 'representative': 40627818322381973, 'size': 1331}
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id: 95761052
{'aut_label': '10J-3', 'centralizer': None, 'counter': 119, 'group_counter': 9, 'group_order': 798600, 'label': '10U3', 'order': 10, 'powers': [15, 118, 2, 119], 'representative': 15564458992044771, 'size': 1331}
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id: 95761054
{'aut_label': '10J3', 'centralizer': None, 'counter': 120, 'group_counter': 9, 'group_order': 798600, 'label': '10U-3', 'order': 10, 'powers': [14, 117, 2, 120], 'representative': 10419434676659911, 'size': 1331}
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id: 95761055
{'aut_label': '10F1', 'centralizer': None, 'counter': 121, 'group_counter': 9, 'group_order': 798600, 'label': '10V1', 'order': 10, 'powers': [29, 123, 8, 121], 'representative': 37862984703074723, 'size': 1331}
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id: 95761056
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id: 95761057
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id: 95761058
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id: 95761059
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id: 95761060
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id: 95761061
{'aut_label': '10W3', 'centralizer': None, 'counter': 127, 'group_counter': 9, 'group_order': 798600, 'label': '10W3', 'order': 10, 'powers': [17, 126, 4, 127], 'representative': 34029062357427243, 'size': 3993}
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id: 95761062
{'aut_label': '10W-3', 'centralizer': None, 'counter': 128, 'group_counter': 9, 'group_order': 798600, 'label': '10W-3', 'order': 10, 'powers': [16, 125, 4, 128], 'representative': 10143578202338665, 'size': 3993}
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id: 95761063
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id: 95761065
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id: 95761066
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id: 95761067
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id: 95761068
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id: 95761069
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id: 95761070
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id: 95761071
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id: 95761072
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id: 95761073
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id: 95761074
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id: 95761076
{'aut_label': '10Y1', 'centralizer': None, 'counter': 140, 'group_counter': 9, 'group_order': 798600, 'label': '10Z-3', 'order': 10, 'powers': [14, 137, 6, 140], 'representative': 24198389387978905, 'size': 3993}
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id: 95761077
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id: 95761078
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id: 95761079
{'aut_label': '10Y1', 'centralizer': None, 'counter': 143, 'group_counter': 9, 'group_order': 798600, 'label': '10AA3', 'order': 10, 'powers': [26, 142, 5, 143], 'representative': 39559774240606467, 'size': 3993}
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id: 95761080
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id: 95761081
{'aut_label': '10W1', 'centralizer': None, 'counter': 145, 'group_counter': 9, 'group_order': 798600, 'label': '10AB1', 'order': 10, 'powers': [30, 147, 4, 145], 'representative': 19127244607473224, 'size': 3993}
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id: 95761082
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id: 95761083
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id: 95761084
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id: 95761085
{'aut_label': '10Y1', 'centralizer': None, 'counter': 149, 'group_counter': 9, 'group_order': 798600, 'label': '10AC1', 'order': 10, 'powers': [30, 151, 6, 149], 'representative': 956546212192470, 'size': 3993}
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id: 95761087
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 150, 'group_counter': 9, 'group_order': 798600, 'label': '10AC-1', 'order': 10, 'powers': [31, 152, 6, 150], 'representative': 35958263466500837, 'size': 3993}
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id: 95761088
{'aut_label': '10Y3', 'centralizer': None, 'counter': 151, 'group_counter': 9, 'group_order': 798600, 'label': '10AC3', 'order': 10, 'powers': [33, 150, 6, 151], 'representative': 24091679392784084, 'size': 3993}
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id: 95761089
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 152, 'group_counter': 9, 'group_order': 798600, 'label': '10AC-3', 'order': 10, 'powers': [32, 149, 6, 152], 'representative': 36229371896295313, 'size': 3993}
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id: 95761090
{'aut_label': '10Y3', 'centralizer': None, 'counter': 153, 'group_counter': 9, 'group_order': 798600, 'label': '10AD1', 'order': 10, 'powers': [29, 155, 6, 153], 'representative': 15008576532283719, 'size': 3993}
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id: 95761091
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 154, 'group_counter': 9, 'group_order': 798600, 'label': '10AD-1', 'order': 10, 'powers': [28, 156, 6, 154], 'representative': 1768405133733867, 'size': 3993}
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id: 95761092
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 155, 'group_counter': 9, 'group_order': 798600, 'label': '10AD3', 'order': 10, 'powers': [27, 154, 6, 155], 'representative': 31364912116556668, 'size': 3993}
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id: 95761093
{'aut_label': '10Y1', 'centralizer': None, 'counter': 156, 'group_counter': 9, 'group_order': 798600, 'label': '10AD-3', 'order': 10, 'powers': [26, 153, 6, 156], 'representative': 28217363861424043, 'size': 3993}
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id: 95761094
{'aut_label': '10Y1', 'centralizer': None, 'counter': 157, 'group_counter': 9, 'group_order': 798600, 'label': '10AE1', 'order': 10, 'powers': [14, 159, 5, 157], 'representative': 7819040842876097, 'size': 3993}
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id: 95761095
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 158, 'group_counter': 9, 'group_order': 798600, 'label': '10AE-1', 'order': 10, 'powers': [15, 160, 5, 158], 'representative': 15824695460533363, 'size': 3993}
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id: 95761096
{'aut_label': '10Y3', 'centralizer': None, 'counter': 159, 'group_counter': 9, 'group_order': 798600, 'label': '10AE3', 'order': 10, 'powers': [17, 158, 5, 159], 'representative': 34339116270141664, 'size': 3993}
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id: 95761098
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 160, 'group_counter': 9, 'group_order': 798600, 'label': '10AE-3', 'order': 10, 'powers': [16, 157, 5, 160], 'representative': 30318458131649747, 'size': 3993}
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id: 95761099
{'aut_label': '10W-1', 'centralizer': None, 'counter': 161, 'group_counter': 9, 'group_order': 798600, 'label': '10AF1', 'order': 10, 'powers': [19, 163, 4, 161], 'representative': 21467275980907797, 'size': 3993}
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id: 95761100
{'aut_label': '10W1', 'centralizer': None, 'counter': 162, 'group_counter': 9, 'group_order': 798600, 'label': '10AF-1', 'order': 10, 'powers': [18, 164, 4, 162], 'representative': 30940486315822649, 'size': 3993}
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id: 95761101
{'aut_label': '10W-3', 'centralizer': None, 'counter': 163, 'group_counter': 9, 'group_order': 798600, 'label': '10AF3', 'order': 10, 'powers': [20, 162, 4, 163], 'representative': 37572679994088783, 'size': 3993}
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id: 95761102
{'aut_label': '10W3', 'centralizer': None, 'counter': 164, 'group_counter': 9, 'group_order': 798600, 'label': '10AF-3', 'order': 10, 'powers': [21, 161, 4, 164], 'representative': 21258561136473999, 'size': 3993}
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id: 95761103
{'aut_label': '10Y3', 'centralizer': None, 'counter': 165, 'group_counter': 9, 'group_order': 798600, 'label': '10AG1', 'order': 10, 'powers': [33, 167, 5, 165], 'representative': 42153310521054687, 'size': 3993}
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id: 95761104
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 166, 'group_counter': 9, 'group_order': 798600, 'label': '10AG-1', 'order': 10, 'powers': [32, 168, 5, 166], 'representative': 29968046352230039, 'size': 3993}
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id: 95761105
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 167, 'group_counter': 9, 'group_order': 798600, 'label': '10AG3', 'order': 10, 'powers': [31, 166, 5, 167], 'representative': 45674751031149704, 'size': 3993}
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id: 95761106
{'aut_label': '10Y1', 'centralizer': None, 'counter': 168, 'group_counter': 9, 'group_order': 798600, 'label': '10AG-3', 'order': 10, 'powers': [30, 165, 5, 168], 'representative': 22511328569721324, 'size': 3993}
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id: 95761107
{'aut_label': '10W-1', 'centralizer': None, 'counter': 169, 'group_counter': 9, 'group_order': 798600, 'label': '10AH1', 'order': 10, 'powers': [27, 171, 3, 169], 'representative': 8784030004069851, 'size': 3993}
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id: 95761109
{'aut_label': '10W1', 'centralizer': None, 'counter': 170, 'group_counter': 9, 'group_order': 798600, 'label': '10AH-1', 'order': 10, 'powers': [26, 172, 3, 170], 'representative': 20548282233705808, 'size': 3993}
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id: 95761110
{'aut_label': '10W-3', 'centralizer': None, 'counter': 171, 'group_counter': 9, 'group_order': 798600, 'label': '10AH3', 'order': 10, 'powers': [28, 170, 3, 171], 'representative': 24341784370915657, 'size': 3993}
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id: 95761111
{'aut_label': '10W3', 'centralizer': None, 'counter': 172, 'group_counter': 9, 'group_order': 798600, 'label': '10AH-3', 'order': 10, 'powers': [29, 169, 3, 172], 'representative': 43350117796427440, 'size': 3993}
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id: 95761112
{'aut_label': '10W-3', 'centralizer': None, 'counter': 173, 'group_counter': 9, 'group_order': 798600, 'label': '10AI1', 'order': 10, 'powers': [28, 175, 4, 173], 'representative': 30791606374971669, 'size': 3993}
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id: 95761113
{'aut_label': '10W3', 'centralizer': None, 'counter': 174, 'group_counter': 9, 'group_order': 798600, 'label': '10AI-1', 'order': 10, 'powers': [29, 176, 4, 174], 'representative': 27495316104515903, 'size': 3993}
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id: 95761114
{'aut_label': '10W1', 'centralizer': None, 'counter': 175, 'group_counter': 9, 'group_order': 798600, 'label': '10AI3', 'order': 10, 'powers': [26, 174, 4, 175], 'representative': 24230412279131767, 'size': 3993}
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id: 95761115
{'aut_label': '10W-1', 'centralizer': None, 'counter': 176, 'group_counter': 9, 'group_order': 798600, 'label': '10AI-3', 'order': 10, 'powers': [27, 173, 4, 176], 'representative': 6168453555573046, 'size': 3993}
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id: 95761116
{'aut_label': '10W3', 'centralizer': None, 'counter': 177, 'group_counter': 9, 'group_order': 798600, 'label': '10AJ1', 'order': 10, 'powers': [22, 179, 4, 177], 'representative': 36442794154881574, 'size': 3993}
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id: 95761117
{'aut_label': '10W-3', 'centralizer': None, 'counter': 178, 'group_counter': 9, 'group_order': 798600, 'label': '10AJ-1', 'order': 10, 'powers': [23, 180, 4, 178], 'representative': 15702107442091289, 'size': 3993}
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id: 95761118
{'aut_label': '10W-1', 'centralizer': None, 'counter': 179, 'group_counter': 9, 'group_order': 798600, 'label': '10AJ3', 'order': 10, 'powers': [25, 178, 4, 179], 'representative': 41259256961541872, 'size': 3993}
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id: 95761120
{'aut_label': '10W1', 'centralizer': None, 'counter': 180, 'group_counter': 9, 'group_order': 798600, 'label': '10AJ-3', 'order': 10, 'powers': [24, 177, 4, 180], 'representative': 803407799208975, 'size': 3993}
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id: 95761121
{'aut_label': '10W1', 'centralizer': None, 'counter': 181, 'group_counter': 9, 'group_order': 798600, 'label': '10AK1', 'order': 10, 'powers': [30, 183, 3, 181], 'representative': 30549733477082629, 'size': 3993}
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id: 95761122
{'aut_label': '10W-1', 'centralizer': None, 'counter': 182, 'group_counter': 9, 'group_order': 798600, 'label': '10AK-1', 'order': 10, 'powers': [31, 184, 3, 182], 'representative': 27838514333430312, 'size': 3993}
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id: 95761123
{'aut_label': '10W3', 'centralizer': None, 'counter': 183, 'group_counter': 9, 'group_order': 798600, 'label': '10AK3', 'order': 10, 'powers': [33, 182, 3, 183], 'representative': 40976683163152317, 'size': 3993}
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id: 95761124
{'aut_label': '10W-3', 'centralizer': None, 'counter': 184, 'group_counter': 9, 'group_order': 798600, 'label': '10AK-3', 'order': 10, 'powers': [32, 181, 3, 184], 'representative': 18049904906379878, 'size': 3993}
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id: 95761125
{'aut_label': '10Y1', 'centralizer': None, 'counter': 185, 'group_counter': 9, 'group_order': 798600, 'label': '10AL1', 'order': 10, 'powers': [24, 187, 6, 185], 'representative': 31419285099506284, 'size': 3993}
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id: 95761126
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 186, 'group_counter': 9, 'group_order': 798600, 'label': '10AL-1', 'order': 10, 'powers': [25, 188, 6, 186], 'representative': 5539712003340293, 'size': 3993}
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id: 95761127
{'aut_label': '10Y3', 'centralizer': None, 'counter': 187, 'group_counter': 9, 'group_order': 798600, 'label': '10AL3', 'order': 10, 'powers': [22, 186, 6, 187], 'representative': 38549641267686061, 'size': 3993}
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id: 95761128
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 188, 'group_counter': 9, 'group_order': 798600, 'label': '10AL-3', 'order': 10, 'powers': [23, 185, 6, 188], 'representative': 23943414120781856, 'size': 3993}
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id: 95761129
{'aut_label': '10W-3', 'centralizer': None, 'counter': 189, 'group_counter': 9, 'group_order': 798600, 'label': '10AM1', 'order': 10, 'powers': [20, 191, 3, 189], 'representative': 24214874033951153, 'size': 3993}
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id: 95761131
{'aut_label': '10W3', 'centralizer': None, 'counter': 190, 'group_counter': 9, 'group_order': 798600, 'label': '10AM-1', 'order': 10, 'powers': [21, 192, 3, 190], 'representative': 15456107322570667, 'size': 3993}
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id: 95761132
{'aut_label': '10W1', 'centralizer': None, 'counter': 191, 'group_counter': 9, 'group_order': 798600, 'label': '10AM3', 'order': 10, 'powers': [18, 190, 3, 191], 'representative': 43875760093171583, 'size': 3993}
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id: 95761133
{'aut_label': '10W-1', 'centralizer': None, 'counter': 192, 'group_counter': 9, 'group_order': 798600, 'label': '10AM-3', 'order': 10, 'powers': [19, 189, 3, 192], 'representative': 24205520491551541, 'size': 3993}
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id: 95761134
{'aut_label': '10W1', 'centralizer': None, 'counter': 193, 'group_counter': 9, 'group_order': 798600, 'label': '10AN1', 'order': 10, 'powers': [24, 195, 3, 193], 'representative': 26062451661915271, 'size': 3993}
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id: 95761135
{'aut_label': '10W-1', 'centralizer': None, 'counter': 194, 'group_counter': 9, 'group_order': 798600, 'label': '10AN-1', 'order': 10, 'powers': [25, 196, 3, 194], 'representative': 7163000282520409, 'size': 3993}
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id: 95761136
{'aut_label': '10W3', 'centralizer': None, 'counter': 195, 'group_counter': 9, 'group_order': 798600, 'label': '10AN3', 'order': 10, 'powers': [22, 194, 3, 195], 'representative': 18426616450433600, 'size': 3993}
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id: 95761137
{'aut_label': '10W-3', 'centralizer': None, 'counter': 196, 'group_counter': 9, 'group_order': 798600, 'label': '10AN-3', 'order': 10, 'powers': [23, 193, 3, 196], 'representative': 33663787760040058, 'size': 3993}
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id: 95761138
{'aut_label': '10Y3', 'centralizer': None, 'counter': 197, 'group_counter': 9, 'group_order': 798600, 'label': '10AO1', 'order': 10, 'powers': [22, 199, 5, 197], 'representative': 33116378067560817, 'size': 3993}
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id: 95761139
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 198, 'group_counter': 9, 'group_order': 798600, 'label': '10AO-1', 'order': 10, 'powers': [23, 200, 5, 198], 'representative': 23191973568228140, 'size': 3993}
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id: 95761140
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 199, 'group_counter': 9, 'group_order': 798600, 'label': '10AO3', 'order': 10, 'powers': [25, 198, 5, 199], 'representative': 13613053420990521, 'size': 3993}
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id: 95761143
{'aut_label': '10Y1', 'centralizer': None, 'counter': 200, 'group_counter': 9, 'group_order': 798600, 'label': '10AO-3', 'order': 10, 'powers': [24, 197, 5, 200], 'representative': 28154033064622713, 'size': 3993}
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id: 95761144
{'aut_label': '10Y3', 'centralizer': None, 'counter': 201, 'group_counter': 9, 'group_order': 798600, 'label': '10AP1', 'order': 10, 'powers': [21, 203, 6, 201], 'representative': 5008941957456424, 'size': 3993}
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id: 95761145
{'aut_label': '10Y-3', 'centralizer': None, 'counter': 202, 'group_counter': 9, 'group_order': 798600, 'label': '10AP-1', 'order': 10, 'powers': [20, 204, 6, 202], 'representative': 10742539157656140, 'size': 3993}
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id: 95761146
{'aut_label': '10Y-1', 'centralizer': None, 'counter': 203, 'group_counter': 9, 'group_order': 798600, 'label': '10AP3', 'order': 10, 'powers': [19, 202, 6, 203], 'representative': 23943673262976443, 'size': 3993}
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id: 95761147
{'aut_label': '10Y1', 'centralizer': None, 'counter': 204, 'group_counter': 9, 'group_order': 798600, 'label': '10AP-3', 'order': 10, 'powers': [18, 201, 6, 204], 'representative': 11310148527731543, 'size': 3993}
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id: 95761148
{'aut_label': '11A', 'centralizer': '10.A', 'counter': 205, 'group_counter': 9, 'group_order': 798600, 'label': '11A', 'order': 11, 'powers': [205, 205, 205, 1], 'representative': 1561996911925056, 'size': 10}
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id: 95761149
{'aut_label': '11B', 'centralizer': None, 'counter': 206, 'group_counter': 9, 'group_order': 798600, 'label': '11B', 'order': 11, 'powers': [206, 206, 206, 1], 'representative': 268510436043533, 'size': 30}
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id: 95761150
{'aut_label': '11C', 'centralizer': None, 'counter': 207, 'group_counter': 9, 'group_order': 798600, 'label': '11C', 'order': 11, 'powers': [207, 207, 207, 1], 'representative': 3763234817922186, 'size': 30}
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id: 95761151
{'aut_label': '11B', 'centralizer': None, 'counter': 208, 'group_counter': 9, 'group_order': 798600, 'label': '11D', 'order': 11, 'powers': [208, 208, 208, 1], 'representative': 3267326893752583, 'size': 30}
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id: 95761152
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id: 95761154
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id: 95761155
{'aut_label': '11B', 'centralizer': None, 'counter': 211, 'group_counter': 9, 'group_order': 798600, 'label': '11G', 'order': 11, 'powers': [211, 211, 211, 1], 'representative': 2622492495709737, 'size': 30}
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id: 95761156
{'aut_label': '11B', 'centralizer': None, 'counter': 212, 'group_counter': 9, 'group_order': 798600, 'label': '11H', 'order': 11, 'powers': [212, 212, 212, 1], 'representative': 1445501466842941, 'size': 30}
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id: 95761157
{'aut_label': '11I', 'centralizer': None, 'counter': 213, 'group_counter': 9, 'group_order': 798600, 'label': '11I', 'order': 11, 'powers': [213, 213, 213, 1], 'representative': 385005883058260, 'size': 30}
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id: 95761158
{'aut_label': '11B', 'centralizer': None, 'counter': 214, 'group_counter': 9, 'group_order': 798600, 'label': '11J', 'order': 11, 'powers': [214, 214, 214, 1], 'representative': 267803171401878, 'size': 30}
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id: 95761159
{'aut_label': '11B', 'centralizer': None, 'counter': 215, 'group_counter': 9, 'group_order': 798600, 'label': '11K', 'order': 11, 'powers': [215, 215, 215, 1], 'representative': 1444822468904916, 'size': 30}
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id: 95761160
{'aut_label': '11B', 'centralizer': None, 'counter': 216, 'group_counter': 9, 'group_order': 798600, 'label': '11L', 'order': 11, 'powers': [216, 216, 216, 1], 'representative': 2092741108897221, 'size': 30}
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id: 95761161
{'aut_label': '11B', 'centralizer': None, 'counter': 217, 'group_counter': 9, 'group_order': 798600, 'label': '11M', 'order': 11, 'powers': [217, 217, 217, 1], 'representative': 1444454702346493, 'size': 30}
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id: 95761162
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 218, 'group_counter': 9, 'group_order': 798600, 'label': '11N', 'order': 11, 'powers': [218, 218, 218, 1], 'representative': 266784441533117, 'size': 60}
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id: 95761163
{'aut_label': '11O', 'centralizer': '60.A', 'counter': 219, 'group_counter': 9, 'group_order': 798600, 'label': '11O', 'order': 11, 'powers': [219, 219, 219, 1], 'representative': 382914236908238, 'size': 60}
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id: 95761165
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 220, 'group_counter': 9, 'group_order': 798600, 'label': '11P', 'order': 11, 'powers': [220, 220, 220, 1], 'representative': 384666168843255, 'size': 60}
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id: 95761166
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 221, 'group_counter': 9, 'group_order': 798600, 'label': '11Q', 'order': 11, 'powers': [221, 221, 221, 1], 'representative': 913344853734601, 'size': 60}
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id: 95761167
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id: 95761168
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 223, 'group_counter': 9, 'group_order': 798600, 'label': '11S', 'order': 11, 'powers': [223, 223, 223, 1], 'representative': 2092061878883374, 'size': 60}
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id: 95761169
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 224, 'group_counter': 9, 'group_order': 798600, 'label': '11T', 'order': 11, 'powers': [224, 224, 224, 1], 'representative': 385345381141492, 'size': 60}
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id: 95761170
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 225, 'group_counter': 9, 'group_order': 798600, 'label': '11U', 'order': 11, 'powers': [225, 225, 225, 1], 'representative': 384326651272852, 'size': 60}
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id: 95761171
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 226, 'group_counter': 9, 'group_order': 798600, 'label': '11V', 'order': 11, 'powers': [226, 226, 226, 1], 'representative': 268116751547680, 'size': 60}
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id: 95761172
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 227, 'group_counter': 9, 'group_order': 798600, 'label': '11W', 'order': 11, 'powers': [227, 227, 227, 1], 'representative': 916143764526278, 'size': 60}
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id: 95761173
{'aut_label': '11O', 'centralizer': '60.A', 'counter': 228, 'group_counter': 9, 'group_order': 798600, 'label': '11X', 'order': 11, 'powers': [228, 228, 228, 1], 'representative': 1562704176566711, 'size': 60}
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id: 95761174
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 229, 'group_counter': 9, 'group_order': 798600, 'label': '11Y', 'order': 11, 'powers': [229, 229, 229, 1], 'representative': 3913887305793016, 'size': 60}
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id: 95761176
{'aut_label': '11N', 'centralizer': '60.A', 'counter': 230, 'group_counter': 9, 'group_order': 798600, 'label': '11Z', 'order': 11, 'powers': [230, 230, 230, 1], 'representative': 2620766501199321, 'size': 60}
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id: 95761177
{'aut_label': '11O', 'centralizer': '60.A', 'counter': 231, 'group_counter': 9, 'group_order': 798600, 'label': '11AA', 'order': 11, 'powers': [231, 231, 231, 1], 'representative': 1559905248059424, 'size': 60}
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id: 95761178
{'aut_label': '11O', 'centralizer': '60.A', 'counter': 232, 'group_counter': 9, 'group_order': 798600, 'label': '11AB', 'order': 11, 'powers': [232, 232, 232, 1], 'representative': 915096787441179, 'size': 60}
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id: 95761179
{'aut_label': '11O', 'centralizer': '60.A', 'counter': 233, 'group_counter': 9, 'group_order': 798600, 'label': '11AC', 'order': 11, 'powers': [233, 233, 233, 1], 'representative': 1561657199481612, 'size': 60}
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id: 95761180
{'aut_label': '15A1', 'centralizer': None, 'counter': 234, 'group_counter': 9, 'group_order': 798600, 'label': '15A1', 'order': 15, 'powers': [236, 13, 9, 234], 'representative': 20121779914678885, 'size': 242}
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id: 95761181
{'aut_label': '15A1', 'centralizer': None, 'counter': 235, 'group_counter': 9, 'group_order': 798600, 'label': '15A-1', 'order': 15, 'powers': [237, 12, 9, 235], 'representative': 23120188480123012, 'size': 242}
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id: 95761182
{'aut_label': '15A1', 'centralizer': None, 'counter': 236, 'group_counter': 9, 'group_order': 798600, 'label': '15A2', 'order': 15, 'powers': [235, 10, 9, 236], 'representative': 4722024749683730, 'size': 242}
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id: 95761183
{'aut_label': '15A1', 'centralizer': None, 'counter': 237, 'group_counter': 9, 'group_order': 798600, 'label': '15A-2', 'order': 15, 'powers': [234, 11, 9, 237], 'representative': 40466538449900963, 'size': 242}
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id: 95761184
{'aut_label': '15B1', 'centralizer': None, 'counter': 238, 'group_counter': 9, 'group_order': 798600, 'label': '15B1', 'order': 15, 'powers': [240, 22, 9, 238], 'representative': 1154774237354916, 'size': 2662}
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id: 95761185
{'aut_label': '15B-1', 'centralizer': None, 'counter': 239, 'group_counter': 9, 'group_order': 798600, 'label': '15B-1', 'order': 15, 'powers': [241, 23, 9, 239], 'representative': 28133166803037593, 'size': 2662}
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id: 95761187
{'aut_label': '15B2', 'centralizer': None, 'counter': 240, 'group_counter': 9, 'group_order': 798600, 'label': '15B2', 'order': 15, 'powers': [239, 24, 9, 240], 'representative': 22087382057232401, 'size': 2662}
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id: 95761188
{'aut_label': '15B-2', 'centralizer': None, 'counter': 241, 'group_counter': 9, 'group_order': 798600, 'label': '15B-2', 'order': 15, 'powers': [238, 25, 9, 241], 'representative': 26667313659277226, 'size': 2662}
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id: 95761189
{'aut_label': '15B1', 'centralizer': None, 'counter': 242, 'group_counter': 9, 'group_order': 798600, 'label': '15C1', 'order': 15, 'powers': [244, 17, 9, 242], 'representative': 1908836469949713, 'size': 2662}
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id: 95761190
{'aut_label': '15B-1', 'centralizer': None, 'counter': 243, 'group_counter': 9, 'group_order': 798600, 'label': '15C-1', 'order': 15, 'powers': [245, 16, 9, 243], 'representative': 36096512720302122, 'size': 2662}
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id: 95761191
{'aut_label': '15B2', 'centralizer': None, 'counter': 244, 'group_counter': 9, 'group_order': 798600, 'label': '15C2', 'order': 15, 'powers': [243, 14, 9, 244], 'representative': 38146371743741282, 'size': 2662}
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id: 95761192
{'aut_label': '15B-2', 'centralizer': None, 'counter': 245, 'group_counter': 9, 'group_order': 798600, 'label': '15C-2', 'order': 15, 'powers': [242, 15, 9, 245], 'representative': 29840414275609567, 'size': 2662}
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id: 95761193
{'aut_label': '15B2', 'centralizer': None, 'counter': 246, 'group_counter': 9, 'group_order': 798600, 'label': '15D1', 'order': 15, 'powers': [248, 26, 9, 246], 'representative': 21100004195524002, 'size': 2662}
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id: 95761194
{'aut_label': '15B-2', 'centralizer': None, 'counter': 247, 'group_counter': 9, 'group_order': 798600, 'label': '15D-1', 'order': 15, 'powers': [249, 27, 9, 247], 'representative': 24584703732177757, 'size': 2662}
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id: 95761195
{'aut_label': '15B-1', 'centralizer': None, 'counter': 248, 'group_counter': 9, 'group_order': 798600, 'label': '15D2', 'order': 15, 'powers': [247, 28, 9, 248], 'representative': 2081573511328589, 'size': 2662}
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id: 95761196
{'aut_label': '15B1', 'centralizer': None, 'counter': 249, 'group_counter': 9, 'group_order': 798600, 'label': '15D-2', 'order': 15, 'powers': [246, 29, 9, 249], 'representative': 40986633586453258, 'size': 2662}
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id: 95761198
{'aut_label': '15B2', 'centralizer': None, 'counter': 250, 'group_counter': 9, 'group_order': 798600, 'label': '15E1', 'order': 15, 'powers': [252, 30, 9, 250], 'representative': 40014603626164380, 'size': 2662}
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id: 95761199
{'aut_label': '15B-2', 'centralizer': None, 'counter': 251, 'group_counter': 9, 'group_order': 798600, 'label': '15E-1', 'order': 15, 'powers': [253, 31, 9, 251], 'representative': 5975322296847909, 'size': 2662}
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id: 95761200
{'aut_label': '15B-1', 'centralizer': None, 'counter': 252, 'group_counter': 9, 'group_order': 798600, 'label': '15E2', 'order': 15, 'powers': [251, 32, 9, 252], 'representative': 15136512824438190, 'size': 2662}
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id: 95761201
{'aut_label': '15B1', 'centralizer': None, 'counter': 253, 'group_counter': 9, 'group_order': 798600, 'label': '15E-2', 'order': 15, 'powers': [250, 33, 9, 253], 'representative': 17114271339465030, 'size': 2662}
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id: 95761202
{'aut_label': '15B-1', 'centralizer': None, 'counter': 254, 'group_counter': 9, 'group_order': 798600, 'label': '15F1', 'order': 15, 'powers': [256, 20, 9, 254], 'representative': 4141376654158126, 'size': 2662}
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id: 95761203
{'aut_label': '15B1', 'centralizer': None, 'counter': 255, 'group_counter': 9, 'group_order': 798600, 'label': '15F-1', 'order': 15, 'powers': [257, 21, 9, 255], 'representative': 41053136122799295, 'size': 2662}
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id: 95761204
{'aut_label': '15B-2', 'centralizer': None, 'counter': 256, 'group_counter': 9, 'group_order': 798600, 'label': '15F2', 'order': 15, 'powers': [255, 19, 9, 256], 'representative': 28091977438914381, 'size': 2662}
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id: 95761205
{'aut_label': '15B2', 'centralizer': None, 'counter': 257, 'group_counter': 9, 'group_order': 798600, 'label': '15F-2', 'order': 15, 'powers': [254, 18, 9, 257], 'representative': 13443023225131792, 'size': 2662}
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id: 95761206
{'aut_label': '22A', 'centralizer': '10.A', 'counter': 258, 'group_counter': 9, 'group_order': 798600, 'label': '22A', 'order': 22, 'powers': [205, 258, 258, 2], 'representative': 27127198767742945, 'size': 10}
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id: 95761207
{'aut_label': '22B', 'centralizer': None, 'counter': 259, 'group_counter': 9, 'group_order': 798600, 'label': '22B', 'order': 22, 'powers': [206, 259, 259, 2], 'representative': 20979821147431260, 'size': 30}
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id: 95761209
{'aut_label': '22C', 'centralizer': None, 'counter': 260, 'group_counter': 9, 'group_order': 798600, 'label': '22C', 'order': 22, 'powers': [207, 260, 260, 2], 'representative': 21473298122387060, 'size': 30}
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id: 95761210
{'aut_label': '22B', 'centralizer': None, 'counter': 261, 'group_counter': 9, 'group_order': 798600, 'label': '22D', 'order': 22, 'powers': [208, 261, 261, 2], 'representative': 23826994850734431, 'size': 30}
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id: 95761211
{'aut_label': '22B', 'centralizer': None, 'counter': 262, 'group_counter': 9, 'group_order': 798600, 'label': '22E', 'order': 22, 'powers': [209, 262, 262, 2], 'representative': 21474684618814244, 'size': 30}
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id: 95761212
{'aut_label': '22B', 'centralizer': None, 'counter': 263, 'group_counter': 9, 'group_order': 798600, 'label': '22F', 'order': 22, 'powers': [210, 263, 263, 2], 'representative': 22003728739213423, 'size': 30}
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id: 95761213
{'aut_label': '22B', 'centralizer': None, 'counter': 264, 'group_counter': 9, 'group_order': 798600, 'label': '22G', 'order': 22, 'powers': [211, 264, 264, 2], 'representative': 23980078305695725, 'size': 30}
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id: 95761214
{'aut_label': '22B', 'centralizer': None, 'counter': 265, 'group_counter': 9, 'group_order': 798600, 'label': '22H', 'order': 22, 'powers': [212, 265, 265, 2], 'representative': 22652408851533498, 'size': 30}
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id: 95761215
{'aut_label': '22I', 'centralizer': None, 'counter': 266, 'group_counter': 9, 'group_order': 798600, 'label': '22I', 'order': 22, 'powers': [213, 266, 266, 2], 'representative': 22801335344879392, 'size': 30}
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id: 95761216
{'aut_label': '22B', 'centralizer': None, 'counter': 267, 'group_counter': 9, 'group_order': 798600, 'label': '22J', 'order': 22, 'powers': [214, 267, 267, 2], 'representative': 20978463133824959, 'size': 30}
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id: 95761217
{'aut_label': '22B', 'centralizer': None, 'counter': 268, 'group_counter': 9, 'group_order': 798600, 'label': '22K', 'order': 22, 'powers': [215, 268, 268, 2], 'representative': 22652748563976942, 'size': 30}
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id: 95761218
{'aut_label': '22B', 'centralizer': None, 'counter': 269, 'group_counter': 9, 'group_order': 798600, 'label': '22L', 'order': 22, 'powers': [216, 269, 269, 2], 'representative': 22156187366705264, 'size': 30}
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id: 95761220
{'aut_label': '22B', 'centralizer': None, 'counter': 270, 'group_counter': 9, 'group_order': 798600, 'label': '22M', 'order': 22, 'powers': [217, 270, 270, 2], 'representative': 22653088062060174, 'size': 30}
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id: 95761221
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 271, 'group_counter': 9, 'group_order': 798600, 'label': '22N', 'order': 22, 'powers': [218, 271, 271, 2], 'representative': 20977390217543577, 'size': 60}
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id: 95761222
{'aut_label': '22O', 'centralizer': '60.A', 'counter': 272, 'group_counter': 9, 'group_order': 798600, 'label': '22O', 'order': 22, 'powers': [219, 272, 272, 2], 'representative': 22800941640896247, 'size': 60}
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id: 95761223
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 273, 'group_counter': 9, 'group_order': 798600, 'label': '22P', 'order': 22, 'powers': [220, 273, 273, 2], 'representative': 22803087276828929, 'size': 60}
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id: 95761224
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 274, 'group_counter': 9, 'group_order': 798600, 'label': '22Q', 'order': 22, 'powers': [221, 274, 274, 2], 'representative': 25003985879601227, 'size': 60}
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id: 95761225
{'aut_label': '22R', 'centralizer': '60.A', 'counter': 275, 'group_counter': 9, 'group_order': 798600, 'label': '22R', 'order': 22, 'powers': [222, 275, 275, 2], 'representative': 23333491956230691, 'size': 60}
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id: 95761226
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 276, 'group_counter': 9, 'group_order': 798600, 'label': '22S', 'order': 22, 'powers': [223, 276, 276, 2], 'representative': 22156500927363895, 'size': 60}
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id: 95761227
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 277, 'group_counter': 9, 'group_order': 798600, 'label': '22T', 'order': 22, 'powers': [224, 277, 277, 2], 'representative': 22802747759258526, 'size': 60}
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id: 95761228
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 278, 'group_counter': 9, 'group_order': 798600, 'label': '22U', 'order': 22, 'powers': [225, 278, 278, 2], 'representative': 22801675057322836, 'size': 60}
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id: 95761229
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 279, 'group_counter': 9, 'group_order': 798600, 'label': '22V', 'order': 22, 'powers': [226, 279, 279, 2], 'representative': 20979849630266663, 'size': 60}
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id: 95761231
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 280, 'group_counter': 9, 'group_order': 798600, 'label': '22W', 'order': 22, 'powers': [227, 280, 280, 2], 'representative': 25005711874111643, 'size': 60}
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id: 95761232
{'aut_label': '22O', 'centralizer': '60.A', 'counter': 281, 'group_counter': 9, 'group_order': 798600, 'label': '22X', 'order': 22, 'powers': [228, 281, 281, 2], 'representative': 24509803969429211, 'size': 60}
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id: 95761233
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 282, 'group_counter': 9, 'group_order': 798600, 'label': '22Y', 'order': 22, 'powers': [229, 282, 282, 2], 'representative': 23331086946051999, 'size': 60}
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id: 95761234
{'aut_label': '22N', 'centralizer': '60.A', 'counter': 283, 'group_counter': 9, 'group_order': 798600, 'label': '22Z', 'order': 22, 'powers': [230, 283, 283, 2], 'representative': 23977647358092432, 'size': 60}
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id: 95761235
{'aut_label': '22O', 'centralizer': '60.A', 'counter': 284, 'group_counter': 9, 'group_order': 798600, 'label': '22AA', 'order': 22, 'powers': [231, 284, 284, 2], 'representative': 24508077974918795, 'size': 60}
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id: 95761236
{'aut_label': '22O', 'centralizer': '60.A', 'counter': 285, 'group_counter': 9, 'group_order': 798600, 'label': '22AB', 'order': 22, 'powers': [232, 285, 285, 2], 'representative': 25006390889779919, 'size': 60}
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id: 95761237
{'aut_label': '22O', 'centralizer': '60.A', 'counter': 286, 'group_counter': 9, 'group_order': 798600, 'label': '22AC', 'order': 22, 'powers': [233, 286, 286, 2], 'representative': 24510482985097487, 'size': 60}
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id: 95761238
{'aut_label': '22AD', 'centralizer': None, 'counter': 287, 'group_counter': 9, 'group_order': 798600, 'label': '22AD', 'order': 22, 'powers': [212, 287, 287, 3], 'representative': 3546726503120823, 'size': 330}
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id: 95761239
{'aut_label': '22AD', 'centralizer': None, 'counter': 288, 'group_counter': 9, 'group_order': 798600, 'label': '22AE', 'order': 22, 'powers': [212, 288, 288, 4], 'representative': 1047961169794209, 'size': 330}
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id: 95761240
{'aut_label': '22AD', 'centralizer': None, 'counter': 289, 'group_counter': 9, 'group_order': 798600, 'label': '22AF', 'order': 22, 'powers': [217, 289, 289, 3], 'representative': 9312789062012431, 'size': 330}
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id: 95761242
{'aut_label': '22AD', 'centralizer': None, 'counter': 290, 'group_counter': 9, 'group_order': 798600, 'label': '22AG', 'order': 22, 'powers': [210, 290, 290, 3], 'representative': 34585174325760533, 'size': 330}
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id: 95761243
{'aut_label': '22AD', 'centralizer': None, 'counter': 291, 'group_counter': 9, 'group_order': 798600, 'label': '22AH', 'order': 22, 'powers': [214, 291, 291, 3], 'representative': 44525087270933442, 'size': 330}
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id: 95761244
{'aut_label': '22AD', 'centralizer': None, 'counter': 292, 'group_counter': 9, 'group_order': 798600, 'label': '22AI', 'order': 22, 'powers': [211, 292, 292, 3], 'representative': 4341134886495707, 'size': 330}
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id: 95761245
{'aut_label': '22AD', 'centralizer': None, 'counter': 293, 'group_counter': 9, 'group_order': 798600, 'label': '22AJ', 'order': 22, 'powers': [209, 293, 293, 3], 'representative': 14284157945184543, 'size': 330}
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id: 95761246
{'aut_label': '22AK', 'centralizer': None, 'counter': 294, 'group_counter': 9, 'group_order': 798600, 'label': '22AK', 'order': 22, 'powers': [205, 294, 294, 3], 'representative': 39556545566881788, 'size': 330}
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id: 95761247
{'aut_label': '22AD', 'centralizer': None, 'counter': 295, 'group_counter': 9, 'group_order': 798600, 'label': '22AL', 'order': 22, 'powers': [210, 295, 295, 4], 'representative': 15579776332637911, 'size': 330}
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id: 95761248
{'aut_label': '22AD', 'centralizer': None, 'counter': 296, 'group_counter': 9, 'group_order': 798600, 'label': '22AM', 'order': 22, 'powers': [211, 296, 296, 4], 'representative': 42026319793856967, 'size': 330}
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id: 95761249
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id: 95761250
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id: 95761251
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id: 95761254
{'aut_label': '22AD', 'centralizer': None, 'counter': 300, 'group_counter': 9, 'group_order': 798600, 'label': '22AQ', 'order': 22, 'powers': [209, 300, 300, 4], 'representative': 36260544690384621, 'size': 330}
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id: 95761255
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id: 95761256
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id: 95761257
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id: 95761258
{'aut_label': '22AD', 'centralizer': None, 'counter': 304, 'group_counter': 9, 'group_order': 798600, 'label': '22AU', 'order': 22, 'powers': [215, 304, 304, 3], 'representative': 24227494842992214, 'size': 330}
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id: 95761259
{'aut_label': '22AD', 'centralizer': None, 'counter': 305, 'group_counter': 9, 'group_order': 798600, 'label': '22AV', 'order': 22, 'powers': [208, 305, 305, 3], 'representative': 29993269966111451, 'size': 330}
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id: 95761260
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id: 95761261
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id: 95761262
{'aut_label': '22AD', 'centralizer': None, 'counter': 308, 'group_counter': 9, 'group_order': 798600, 'label': '22AY', 'order': 22, 'powers': [208, 308, 308, 4], 'representative': 20551432883817925, 'size': 330}
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id: 95761263
{'aut_label': '22AD', 'centralizer': None, 'counter': 309, 'group_counter': 9, 'group_order': 798600, 'label': '22AZ', 'order': 22, 'powers': [216, 309, 309, 3], 'representative': 33981503509317267, 'size': 330}
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id: 95761265
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id: 95761266
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id: 95761267
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id: 95761268
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id: 95761269
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id: 95761270
{'aut_label': '30A1', 'centralizer': None, 'counter': 315, 'group_counter': 9, 'group_order': 798600, 'label': '30A7', 'order': 30, 'powers': [236, 37, 34, 315], 'representative': 36830876342684101, 'size': 242}
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id: 95761271
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id: 95761272
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id: 95761273
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id: 95761274
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id: 95761276
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id: 95761277
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id: 95761278
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id: 95761279
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id: 95761280
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id: 95761281
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id: 95761282
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id: 95761283
{'aut_label': '30B-1', 'centralizer': None, 'counter': 327, 'group_counter': 9, 'group_order': 798600, 'label': '30D7', 'order': 30, 'powers': [248, 68, 35, 327], 'representative': 7585179580355875, 'size': 2662}
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id: 95761284
{'aut_label': '30B1', 'centralizer': None, 'counter': 328, 'group_counter': 9, 'group_order': 798600, 'label': '30D-7', 'order': 30, 'powers': [249, 67, 35, 328], 'representative': 31045030761012362, 'size': 2662}
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id: 95761285
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id: 95761287
{'aut_label': '30E1', 'centralizer': None, 'counter': 330, 'group_counter': 9, 'group_order': 798600, 'label': '30E-1', 'order': 30, 'powers': [236, 70, 35, 330], 'representative': 24713378683350912, 'size': 2662}
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id: 95761288
{'aut_label': '30E1', 'centralizer': None, 'counter': 331, 'group_counter': 9, 'group_order': 798600, 'label': '30E7', 'order': 30, 'powers': [234, 72, 35, 331], 'representative': 36080997246434478, 'size': 2662}
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id: 95761289
{'aut_label': '30E1', 'centralizer': None, 'counter': 332, 'group_counter': 9, 'group_order': 798600, 'label': '30E-7', 'order': 30, 'powers': [235, 71, 35, 332], 'representative': 40264425770623118, 'size': 2662}
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id: 95761290
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id: 95761291
{'aut_label': '30F-1', 'centralizer': None, 'counter': 334, 'group_counter': 9, 'group_order': 798600, 'label': '30F-1', 'order': 30, 'powers': [238, 74, 34, 334], 'representative': 18843545915964702, 'size': 2662}
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id: 95761292
{'aut_label': '30F7', 'centralizer': None, 'counter': 335, 'group_counter': 9, 'group_order': 798600, 'label': '30F7', 'order': 30, 'powers': [241, 76, 34, 335], 'representative': 38807119862520385, 'size': 2662}
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id: 95761293
{'aut_label': '30F-7', 'centralizer': None, 'counter': 336, 'group_counter': 9, 'group_order': 798600, 'label': '30F-7', 'order': 30, 'powers': [240, 75, 34, 336], 'representative': 37100301089545290, 'size': 2662}
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id: 95761294
{'aut_label': '30B7', 'centralizer': None, 'counter': 337, 'group_counter': 9, 'group_order': 798600, 'label': '30G1', 'order': 30, 'powers': [250, 77, 36, 337], 'representative': 667488921230440, 'size': 2662}
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id: 95761295
{'aut_label': '30B-7', 'centralizer': None, 'counter': 338, 'group_counter': 9, 'group_order': 798600, 'label': '30G-1', 'order': 30, 'powers': [251, 78, 36, 338], 'representative': 27081311525451337, 'size': 2662}
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id: 95761296
{'aut_label': '30B-1', 'centralizer': None, 'counter': 339, 'group_counter': 9, 'group_order': 798600, 'label': '30G7', 'order': 30, 'powers': [252, 80, 36, 339], 'representative': 16835985701053952, 'size': 2662}
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id: 95761298
{'aut_label': '30B1', 'centralizer': None, 'counter': 340, 'group_counter': 9, 'group_order': 798600, 'label': '30G-7', 'order': 30, 'powers': [253, 79, 36, 340], 'representative': 41840965563242779, 'size': 2662}
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id: 95761299
{'aut_label': '30F-1', 'centralizer': None, 'counter': 341, 'group_counter': 9, 'group_order': 798600, 'label': '30H1', 'order': 30, 'powers': [249, 81, 34, 341], 'representative': 37824965746104798, 'size': 2662}
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id: 95761300
{'aut_label': '30F1', 'centralizer': None, 'counter': 342, 'group_counter': 9, 'group_order': 798600, 'label': '30H-1', 'order': 30, 'powers': [248, 82, 34, 342], 'representative': 26454492164442566, 'size': 2662}
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id: 95761301
{'aut_label': '30F-7', 'centralizer': None, 'counter': 343, 'group_counter': 9, 'group_order': 798600, 'label': '30H7', 'order': 30, 'powers': [246, 84, 34, 343], 'representative': 27735436729755747, 'size': 2662}
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id: 95761302
{'aut_label': '30F7', 'centralizer': None, 'counter': 344, 'group_counter': 9, 'group_order': 798600, 'label': '30H-7', 'order': 30, 'powers': [247, 83, 34, 344], 'representative': 5130542860991649, 'size': 2662}
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id: 95761303
{'aut_label': '30B-1', 'centralizer': None, 'counter': 345, 'group_counter': 9, 'group_order': 798600, 'label': '30I1', 'order': 30, 'powers': [254, 85, 35, 345], 'representative': 10449762513740669, 'size': 2662}
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id: 95761304
{'aut_label': '30B1', 'centralizer': None, 'counter': 346, 'group_counter': 9, 'group_order': 798600, 'label': '30I-1', 'order': 30, 'powers': [255, 86, 35, 346], 'representative': 9276872504681791, 'size': 2662}
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id: 95761305
{'aut_label': '30B-7', 'centralizer': None, 'counter': 347, 'group_counter': 9, 'group_order': 798600, 'label': '30I7', 'order': 30, 'powers': [256, 88, 35, 347], 'representative': 16750459534898275, 'size': 2662}
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id: 95761306
{'aut_label': '30B7', 'centralizer': None, 'counter': 348, 'group_counter': 9, 'group_order': 798600, 'label': '30I-7', 'order': 30, 'powers': [257, 87, 35, 348], 'representative': 6429852412112708, 'size': 2662}
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id: 95761307
{'aut_label': '30B1', 'centralizer': None, 'counter': 349, 'group_counter': 9, 'group_order': 798600, 'label': '30J1', 'order': 30, 'powers': [255, 89, 36, 349], 'representative': 36720290286205903, 'size': 2662}
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id: 95761309
{'aut_label': '30B-1', 'centralizer': None, 'counter': 350, 'group_counter': 9, 'group_order': 798600, 'label': '30J-1', 'order': 30, 'powers': [254, 90, 36, 350], 'representative': 37102063394980191, 'size': 2662}
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id: 95761310
{'aut_label': '30B7', 'centralizer': None, 'counter': 351, 'group_counter': 9, 'group_order': 798600, 'label': '30J7', 'order': 30, 'powers': [257, 92, 36, 351], 'representative': 843478551501490, 'size': 2662}
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id: 95761311
{'aut_label': '30B-7', 'centralizer': None, 'counter': 352, 'group_counter': 9, 'group_order': 798600, 'label': '30J-7', 'order': 30, 'powers': [256, 91, 36, 352], 'representative': 35018655026149652, 'size': 2662}
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id: 95761312
{'aut_label': '30F-7', 'centralizer': None, 'counter': 353, 'group_counter': 9, 'group_order': 798600, 'label': '30K1', 'order': 30, 'powers': [257, 93, 34, 353], 'representative': 19055744441045169, 'size': 2662}
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id: 95761313
{'aut_label': '30F7', 'centralizer': None, 'counter': 354, 'group_counter': 9, 'group_order': 798600, 'label': '30K-1', 'order': 30, 'powers': [256, 94, 34, 354], 'representative': 452730637559391, 'size': 2662}
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id: 95761314
{'aut_label': '30F1', 'centralizer': None, 'counter': 355, 'group_counter': 9, 'group_order': 798600, 'label': '30K7', 'order': 30, 'powers': [254, 96, 34, 355], 'representative': 42712389614050575, 'size': 2662}
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id: 95761315
{'aut_label': '30F-1', 'centralizer': None, 'counter': 356, 'group_counter': 9, 'group_order': 798600, 'label': '30K-7', 'order': 30, 'powers': [255, 95, 34, 356], 'representative': 7382558662893864, 'size': 2662}
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id: 95761316
{'aut_label': '30B7', 'centralizer': None, 'counter': 357, 'group_counter': 9, 'group_order': 798600, 'label': '30L1', 'order': 30, 'powers': [250, 97, 35, 357], 'representative': 10338015354506967, 'size': 2662}
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id: 95761317
{'aut_label': '30B-7', 'centralizer': None, 'counter': 358, 'group_counter': 9, 'group_order': 798600, 'label': '30L-1', 'order': 30, 'powers': [251, 98, 35, 358], 'representative': 12990707056948160, 'size': 2662}
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id: 95761318
{'aut_label': '30B-1', 'centralizer': None, 'counter': 359, 'group_counter': 9, 'group_order': 798600, 'label': '30L7', 'order': 30, 'powers': [252, 100, 35, 359], 'representative': 16706580785392407, 'size': 2662}
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id: 95761320
{'aut_label': '30B1', 'centralizer': None, 'counter': 360, 'group_counter': 9, 'group_order': 798600, 'label': '30L-7', 'order': 30, 'powers': [253, 99, 35, 360], 'representative': 39245789312689874, 'size': 2662}
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id: 95761321
{'aut_label': '30B1', 'centralizer': None, 'counter': 361, 'group_counter': 9, 'group_order': 798600, 'label': '30M1', 'order': 30, 'powers': [242, 101, 36, 361], 'representative': 24663647914659703, 'size': 2662}
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id: 95761322
{'aut_label': '30B-1', 'centralizer': None, 'counter': 362, 'group_counter': 9, 'group_order': 798600, 'label': '30M-1', 'order': 30, 'powers': [243, 102, 36, 362], 'representative': 42847695836218973, 'size': 2662}
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id: 95761323
{'aut_label': '30B7', 'centralizer': None, 'counter': 363, 'group_counter': 9, 'group_order': 798600, 'label': '30M7', 'order': 30, 'powers': [244, 104, 36, 363], 'representative': 38420283372316241, 'size': 2662}
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id: 95761324
{'aut_label': '30B-7', 'centralizer': None, 'counter': 364, 'group_counter': 9, 'group_order': 798600, 'label': '30M-7', 'order': 30, 'powers': [245, 103, 36, 364], 'representative': 4087912230540068, 'size': 2662}
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id: 95761325
{'aut_label': '30F-7', 'centralizer': None, 'counter': 365, 'group_counter': 9, 'group_order': 798600, 'label': '30N1', 'order': 30, 'powers': [250, 105, 34, 365], 'representative': 44314939140387027, 'size': 2662}
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id: 95761326
{'aut_label': '30F7', 'centralizer': None, 'counter': 366, 'group_counter': 9, 'group_order': 798600, 'label': '30N-1', 'order': 30, 'powers': [251, 106, 34, 366], 'representative': 43529208943604401, 'size': 2662}
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id: 95761327
{'aut_label': '30F1', 'centralizer': None, 'counter': 367, 'group_counter': 9, 'group_order': 798600, 'label': '30N7', 'order': 30, 'powers': [252, 108, 34, 367], 'representative': 25825938739257541, 'size': 2662}
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id: 95761328
{'aut_label': '30F-1', 'centralizer': None, 'counter': 368, 'group_counter': 9, 'group_order': 798600, 'label': '30N-7', 'order': 30, 'powers': [253, 107, 34, 368], 'representative': 19265224997783123, 'size': 2662}
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id: 95761329
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id: 95761331
{'aut_label': '30E1', 'centralizer': None, 'counter': 370, 'group_counter': 9, 'group_order': 798600, 'label': '30O-1', 'order': 30, 'powers': [235, 110, 36, 370], 'representative': 27963110520068535, 'size': 2662}
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id: 95761332
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id: 95761333
{'aut_label': '30E1', 'centralizer': None, 'counter': 372, 'group_counter': 9, 'group_order': 798600, 'label': '30O-7', 'order': 30, 'powers': [237, 111, 36, 372], 'representative': 34472954183738225, 'size': 2662}
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id: 95761334
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id: 95761335
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id: 95761336
{'aut_label': '30B-1', 'centralizer': None, 'counter': 375, 'group_counter': 9, 'group_order': 798600, 'label': '30P7', 'order': 30, 'powers': [239, 116, 36, 375], 'representative': 42609780091092127, 'size': 2662}
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id: 95761337
{'aut_label': '30B1', 'centralizer': None, 'counter': 376, 'group_counter': 9, 'group_order': 798600, 'label': '30P-7', 'order': 30, 'powers': [238, 115, 36, 376], 'representative': 10139254466129600, 'size': 2662}
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id: 95761338
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id: 95761339
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id: 95761340
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id: 95761342
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id: 95761343
{'aut_label': '30B1', 'centralizer': None, 'counter': 381, 'group_counter': 9, 'group_order': 798600, 'label': '30R1', 'order': 30, 'powers': [249, 121, 36, 381], 'representative': 9556532394018460, 'size': 2662}
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id: 95761344
{'aut_label': '30B-1', 'centralizer': None, 'counter': 382, 'group_counter': 9, 'group_order': 798600, 'label': '30R-1', 'order': 30, 'powers': [248, 122, 36, 382], 'representative': 37573337213350382, 'size': 2662}
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id: 95761345
{'aut_label': '30B7', 'centralizer': None, 'counter': 383, 'group_counter': 9, 'group_order': 798600, 'label': '30R7', 'order': 30, 'powers': [246, 124, 36, 383], 'representative': 1818025881256769, 'size': 2662}
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id: 95761346
{'aut_label': '30B-7', 'centralizer': None, 'counter': 384, 'group_counter': 9, 'group_order': 798600, 'label': '30R-7', 'order': 30, 'powers': [247, 123, 36, 384], 'representative': 5128684583846626, 'size': 2662}
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id: 95761347
{'aut_label': '33A', 'centralizer': None, 'counter': 385, 'group_counter': 9, 'group_order': 798600, 'label': '33A', 'order': 33, 'powers': [385, 205, 385, 9], 'representative': 9025798544011269, 'size': 2420}
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id: 95761348
{'aut_label': '55A1', 'centralizer': '10.A', 'counter': 386, 'group_counter': 9, 'group_order': 798600, 'label': '55A1', 'order': 55, 'powers': [388, 389, 205, 11], 'representative': 41217568106907156, 'size': 10}
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id: 95761349
{'aut_label': '55A1', 'centralizer': '10.A', 'counter': 387, 'group_counter': 9, 'group_order': 798600, 'label': '55A-1', 'order': 55, 'powers': [389, 388, 205, 10], 'representative': 33330625232272116, 'size': 10}
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id: 95761350
{'aut_label': '55A1', 'centralizer': '10.A', 'counter': 388, 'group_counter': 9, 'group_order': 798600, 'label': '55A2', 'order': 55, 'powers': [387, 386, 205, 13], 'representative': 8266980592035864, 'size': 10}
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id: 95761351
{'aut_label': '55A1', 'centralizer': '10.A', 'counter': 389, 'group_counter': 9, 'group_order': 798600, 'label': '55A-2', 'order': 55, 'powers': [386, 387, 205, 12], 'representative': 30715062511325976, 'size': 10}
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id: 95761353
{'aut_label': '55B1', 'centralizer': None, 'counter': 390, 'group_counter': 9, 'group_order': 798600, 'label': '55B1', 'order': 55, 'powers': [392, 393, 206, 10], 'representative': 4530869370921626, 'size': 30}
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id: 95761354
{'aut_label': '55B1', 'centralizer': None, 'counter': 391, 'group_counter': 9, 'group_order': 798600, 'label': '55B-1', 'order': 55, 'powers': [393, 392, 206, 11], 'representative': 33742181513076639, 'size': 30}
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id: 95761355
{'aut_label': '55B1', 'centralizer': None, 'counter': 392, 'group_counter': 9, 'group_order': 798600, 'label': '55B2', 'order': 55, 'powers': [391, 390, 206, 12], 'representative': 12651429861039394, 'size': 30}
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id: 95761356
{'aut_label': '55B1', 'centralizer': None, 'counter': 393, 'group_counter': 9, 'group_order': 798600, 'label': '55B-2', 'order': 55, 'powers': [390, 391, 206, 13], 'representative': 25417239905928135, 'size': 30}
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id: 95761357
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id: 95761358
{'aut_label': '55C1', 'centralizer': None, 'counter': 395, 'group_counter': 9, 'group_order': 798600, 'label': '55C-1', 'order': 55, 'powers': [397, 396, 207, 12], 'representative': 25857721668150508, 'size': 30}
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id: 95761359
{'aut_label': '55C1', 'centralizer': None, 'counter': 396, 'group_counter': 9, 'group_order': 798600, 'label': '55C2', 'order': 55, 'powers': [395, 394, 207, 10], 'representative': 41565565906253894, 'size': 30}
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id: 95761360
{'aut_label': '55C1', 'centralizer': None, 'counter': 397, 'group_counter': 9, 'group_order': 798600, 'label': '55C-2', 'order': 55, 'powers': [394, 395, 207, 11], 'representative': 12117497720254183, 'size': 30}
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id: 95761361
{'aut_label': '55B1', 'centralizer': None, 'counter': 398, 'group_counter': 9, 'group_order': 798600, 'label': '55D1', 'order': 55, 'powers': [400, 401, 208, 13], 'representative': 24771724150226682, 'size': 30}
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id: 95761362
{'aut_label': '55B1', 'centralizer': None, 'counter': 399, 'group_counter': 9, 'group_order': 798600, 'label': '55D-1', 'order': 55, 'powers': [401, 400, 208, 12], 'representative': 26388152284976871, 'size': 30}
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id: 95761365
{'aut_label': '55B1', 'centralizer': None, 'counter': 400, 'group_counter': 9, 'group_order': 798600, 'label': '55D2', 'order': 55, 'powers': [399, 398, 208, 10], 'representative': 39246106560664233, 'size': 30}
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id: 95761366
{'aut_label': '55B1', 'centralizer': None, 'counter': 401, 'group_counter': 9, 'group_order': 798600, 'label': '55D-2', 'order': 55, 'powers': [398, 399, 208, 11], 'representative': 11621875107755191, 'size': 30}
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id: 95761367
{'aut_label': '55B1', 'centralizer': None, 'counter': 402, 'group_counter': 9, 'group_order': 798600, 'label': '55E1', 'order': 55, 'powers': [404, 405, 209, 10], 'representative': 6353062780682636, 'size': 30}
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id: 95761368
{'aut_label': '55B1', 'centralizer': None, 'counter': 403, 'group_counter': 9, 'group_order': 798600, 'label': '55E-1', 'order': 55, 'powers': [405, 404, 209, 11], 'representative': 37390017795549208, 'size': 30}
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id: 95761369
{'aut_label': '55B1', 'centralizer': None, 'counter': 404, 'group_counter': 9, 'group_order': 798600, 'label': '55E2', 'order': 55, 'powers': [403, 402, 209, 12], 'representative': 15501348308223433, 'size': 30}
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id: 95761370
{'aut_label': '55B1', 'centralizer': None, 'counter': 405, 'group_counter': 9, 'group_order': 798600, 'label': '55E-2', 'order': 55, 'powers': [402, 403, 209, 13], 'representative': 27239433313917584, 'size': 30}
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id: 95761371
{'aut_label': '55B1', 'centralizer': None, 'counter': 406, 'group_counter': 9, 'group_order': 798600, 'label': '55F1', 'order': 55, 'powers': [408, 409, 210, 13], 'representative': 23444080633489056, 'size': 30}
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id: 95761372
{'aut_label': '55B1', 'centralizer': None, 'counter': 407, 'group_counter': 9, 'group_order': 798600, 'label': '55F-1', 'order': 55, 'powers': [409, 408, 210, 12], 'representative': 26918582921290405, 'size': 30}
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id: 95761373
{'aut_label': '55B1', 'centralizer': None, 'counter': 408, 'group_counter': 9, 'group_order': 798600, 'label': '55F2', 'order': 55, 'powers': [407, 406, 210, 10], 'representative': 41069658001571462, 'size': 30}
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id: 95761374
{'aut_label': '55B1', 'centralizer': None, 'counter': 409, 'group_counter': 9, 'group_order': 798600, 'label': '55F-2', 'order': 55, 'powers': [406, 407, 210, 11], 'representative': 11091444490928828, 'size': 30}
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id: 95761376
{'aut_label': '55B1', 'centralizer': None, 'counter': 410, 'group_counter': 9, 'group_order': 798600, 'label': '55G1', 'order': 55, 'powers': [412, 413, 211, 10], 'representative': 7035218606788049, 'size': 30}
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id: 95761377
{'aut_label': '55B1', 'centralizer': None, 'counter': 411, 'group_counter': 9, 'group_order': 798600, 'label': '55G-1', 'order': 55, 'powers': [413, 412, 211, 11], 'representative': 34919172542104486, 'size': 30}
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id: 95761378
{'aut_label': '55B1', 'centralizer': None, 'counter': 412, 'group_counter': 9, 'group_order': 798600, 'label': '55G2', 'order': 55, 'powers': [411, 410, 211, 12], 'representative': 13181860497513979, 'size': 30}
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id: 95761379
{'aut_label': '55B1', 'centralizer': None, 'counter': 413, 'group_counter': 9, 'group_order': 798600, 'label': '55G-2', 'order': 55, 'powers': [410, 411, 211, 13], 'representative': 27921589140022997, 'size': 30}
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id: 95761380
{'aut_label': '55B1', 'centralizer': None, 'counter': 414, 'group_counter': 9, 'group_order': 798600, 'label': '55H1', 'order': 55, 'powers': [416, 417, 212, 10], 'representative': 7681804956253083, 'size': 30}
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id: 95761381
{'aut_label': '55B1', 'centralizer': None, 'counter': 415, 'group_counter': 9, 'group_order': 798600, 'label': '55H-1', 'order': 55, 'powers': [417, 416, 212, 11], 'representative': 36246841998038274, 'size': 30}
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id: 95761382
{'aut_label': '55B1', 'centralizer': None, 'counter': 416, 'group_counter': 9, 'group_order': 798600, 'label': '55H2', 'order': 55, 'powers': [415, 414, 212, 12], 'representative': 15005126609034987, 'size': 30}
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id: 95761383
{'aut_label': '55B1', 'centralizer': None, 'counter': 417, 'group_counter': 9, 'group_order': 798600, 'label': '55H-2', 'order': 55, 'powers': [414, 415, 212, 13], 'representative': 28568175489488031, 'size': 30}
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id: 95761384
{'aut_label': '55I1', 'centralizer': None, 'counter': 418, 'group_counter': 9, 'group_order': 798600, 'label': '55I1', 'order': 55, 'powers': [420, 421, 213, 13], 'representative': 22419779355585889, 'size': 30}
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id: 95761385
{'aut_label': '55I1', 'centralizer': None, 'counter': 419, 'group_counter': 9, 'group_order': 798600, 'label': '55I-1', 'order': 55, 'powers': [421, 420, 213, 12], 'representative': 28893574242105225, 'size': 30}
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id: 95761387
{'aut_label': '55I1', 'centralizer': None, 'counter': 420, 'group_counter': 9, 'group_order': 798600, 'label': '55I2', 'order': 55, 'powers': [419, 418, 213, 10], 'representative': 39895152322852353, 'size': 30}
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id: 95761388
{'aut_label': '55I1', 'centralizer': None, 'counter': 421, 'group_counter': 9, 'group_order': 798600, 'label': '55I-2', 'order': 55, 'powers': [418, 419, 213, 11], 'representative': 8739554095289307, 'size': 30}
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id: 95761389
{'aut_label': '55B1', 'centralizer': None, 'counter': 422, 'group_counter': 9, 'group_order': 798600, 'label': '55J1', 'order': 55, 'powers': [424, 425, 214, 13], 'representative': 21125246115207918, 'size': 30}
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id: 95761390
{'aut_label': '55B1', 'centralizer': None, 'counter': 423, 'group_counter': 9, 'group_order': 798600, 'label': '55J-1', 'order': 55, 'powers': [425, 424, 214, 12], 'representative': 25213280975715837, 'size': 30}
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id: 95761391
{'aut_label': '55B1', 'centralizer': None, 'counter': 424, 'group_counter': 9, 'group_order': 798600, 'label': '55J2', 'order': 55, 'powers': [423, 422, 214, 10], 'representative': 37920528555861016, 'size': 30}
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id: 95761392
{'aut_label': '55B1', 'centralizer': None, 'counter': 425, 'group_counter': 9, 'group_order': 798600, 'label': '55J-2', 'order': 55, 'powers': [422, 423, 214, 11], 'representative': 8622351385404486, 'size': 30}
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id: 95761393
{'aut_label': '55B1', 'centralizer': None, 'counter': 426, 'group_counter': 9, 'group_order': 798600, 'label': '55K1', 'order': 55, 'powers': [428, 429, 215, 11], 'representative': 39361844991982158, 'size': 30}
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id: 95761394
{'aut_label': '55B1', 'centralizer': None, 'counter': 427, 'group_counter': 9, 'group_order': 798600, 'label': '55K-1', 'order': 55, 'powers': [429, 428, 215, 10], 'representative': 30332827504607277, 'size': 30}
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id: 95761395
{'aut_label': '55B1', 'centralizer': None, 'counter': 428, 'group_counter': 9, 'group_order': 798600, 'label': '55K2', 'order': 55, 'powers': [427, 426, 215, 13], 'representative': 5269182864371025, 'size': 30}
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id: 95761396
{'aut_label': '55B1', 'centralizer': None, 'counter': 429, 'group_counter': 9, 'group_order': 798600, 'label': '55K-2', 'order': 55, 'powers': [426, 427, 215, 12], 'representative': 31360236407452175, 'size': 30}
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id: 95761398
{'aut_label': '55B1', 'centralizer': None, 'counter': 430, 'group_counter': 9, 'group_order': 798600, 'label': '55L1', 'order': 55, 'powers': [432, 433, 216, 12], 'representative': 18801552225231826, 'size': 30}
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id: 95761399
{'aut_label': '55B1', 'centralizer': None, 'counter': 431, 'group_counter': 9, 'group_order': 798600, 'label': '55L-1', 'order': 55, 'powers': [433, 432, 216, 13], 'representative': 9211735829274819, 'size': 30}
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id: 95761400
{'aut_label': '55B1', 'centralizer': None, 'counter': 432, 'group_counter': 9, 'group_order': 798600, 'label': '55L2', 'order': 55, 'powers': [431, 430, 216, 11], 'representative': 19211328303693638, 'size': 30}
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id: 95761401
{'aut_label': '55B1', 'centralizer': None, 'counter': 433, 'group_counter': 9, 'group_order': 798600, 'label': '55L-2', 'order': 55, 'powers': [430, 431, 216, 10], 'representative': 43042557899940223, 'size': 30}
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id: 95761402
{'aut_label': '55B1', 'centralizer': None, 'counter': 434, 'group_counter': 9, 'group_order': 798600, 'label': '55M1', 'order': 55, 'powers': [436, 437, 217, 11], 'representative': 39361899178394779, 'size': 30}
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id: 95761403
{'aut_label': '55B1', 'centralizer': None, 'counter': 435, 'group_counter': 9, 'group_order': 798600, 'label': '55M-1', 'order': 55, 'powers': [437, 436, 217, 10], 'representative': 30331415070755613, 'size': 30}
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id: 95761404
{'aut_label': '55B1', 'centralizer': None, 'counter': 436, 'group_counter': 9, 'group_order': 798600, 'label': '55M2', 'order': 55, 'powers': [435, 434, 217, 13], 'representative': 5267770430519361, 'size': 30}
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id: 95761405
{'aut_label': '55B1', 'centralizer': None, 'counter': 437, 'group_counter': 9, 'group_order': 798600, 'label': '55M-2', 'order': 55, 'powers': [434, 435, 217, 12], 'representative': 31361283405796006, 'size': 30}
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id: 95761406
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 438, 'group_counter': 9, 'group_order': 798600, 'label': '55N1', 'order': 55, 'powers': [440, 441, 218, 13], 'representative': 21124906617124565, 'size': 60}
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id: 95761407
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 439, 'group_counter': 9, 'group_order': 798600, 'label': '55N-1', 'order': 55, 'powers': [441, 440, 218, 12], 'representative': 25211161275436195, 'size': 60}
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id: 95761409
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 440, 'group_counter': 9, 'group_order': 798600, 'label': '55N2', 'order': 55, 'powers': [439, 438, 218, 10], 'representative': 37918748355436167, 'size': 60}
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id: 95761410
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 441, 'group_counter': 9, 'group_order': 798600, 'label': '55N-2', 'order': 55, 'powers': [438, 439, 218, 11], 'representative': 8621332655535725, 'size': 60}
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id: 95761411
{'aut_label': '55O1', 'centralizer': '60.A', 'counter': 442, 'group_counter': 9, 'group_order': 798600, 'label': '55O1', 'order': 55, 'powers': [444, 445, 219, 13], 'representative': 22418027423650872, 'size': 60}
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id: 95761412
{'aut_label': '55O1', 'centralizer': '60.A', 'counter': 443, 'group_counter': 9, 'group_order': 798600, 'label': '55O-1', 'order': 55, 'powers': [445, 444, 219, 12], 'representative': 28892501520682243, 'size': 60}
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id: 95761413
{'aut_label': '55O1', 'centralizer': '60.A', 'counter': 444, 'group_counter': 9, 'group_order': 798600, 'label': '55O2', 'order': 55, 'powers': [443, 442, 219, 10], 'representative': 39892666972704666, 'size': 60}
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id: 95761414
{'aut_label': '55O1', 'centralizer': '60.A', 'counter': 445, 'group_counter': 9, 'group_order': 798600, 'label': '55O-2', 'order': 55, 'powers': [442, 443, 219, 11], 'representative': 8737462450910846, 'size': 60}
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id: 95761415
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 446, 'group_counter': 9, 'group_order': 798600, 'label': '55P1', 'order': 55, 'powers': [448, 449, 220, 10], 'representative': 5328108208418541, 'size': 60}
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id: 95761416
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 447, 'group_counter': 9, 'group_order': 798600, 'label': '55P-1', 'order': 55, 'powers': [449, 448, 220, 11], 'representative': 35716411381211911, 'size': 60}
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id: 95761417
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 448, 'group_counter': 9, 'group_order': 798600, 'label': '55P2', 'order': 55, 'powers': [447, 446, 220, 12], 'representative': 13297990273240878, 'size': 60}
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id: 95761418
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 449, 'group_counter': 9, 'group_order': 798600, 'label': '55P-2', 'order': 55, 'powers': [446, 447, 220, 13], 'representative': 26214193431754439, 'size': 60}
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id: 95761420
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 450, 'group_counter': 9, 'group_order': 798600, 'label': '55Q1', 'order': 55, 'powers': [452, 453, 221, 13], 'representative': 24125163757673420, 'size': 60}
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id: 95761421
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 451, 'group_counter': 9, 'group_order': 798600, 'label': '55Q-1', 'order': 55, 'powers': [453, 452, 221, 12], 'representative': 28741849032811413, 'size': 60}
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id: 95761422
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 452, 'group_counter': 9, 'group_order': 798600, 'label': '55Q2', 'order': 55, 'powers': [451, 450, 221, 10], 'representative': 38069400862955219, 'size': 60}
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id: 95761423
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 453, 'group_counter': 9, 'group_order': 798600, 'label': '55Q-2', 'order': 55, 'powers': [450, 451, 221, 11], 'representative': 9267893067737209, 'size': 60}
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id: 95761424
{'aut_label': '55R1', 'centralizer': '60.A', 'counter': 454, 'group_counter': 9, 'group_order': 798600, 'label': '55R1', 'order': 55, 'powers': [456, 457, 222, 10], 'representative': 7531126530957652, 'size': 60}
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id: 95761425
{'aut_label': '55R1', 'centralizer': '60.A', 'counter': 455, 'group_counter': 9, 'group_order': 798600, 'label': '55R-1', 'order': 55, 'powers': [457, 456, 222, 11], 'representative': 35565758893341081, 'size': 60}
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id: 95761426
{'aut_label': '55R1', 'centralizer': '60.A', 'counter': 456, 'group_counter': 9, 'group_order': 798600, 'label': '55R2', 'order': 55, 'powers': [455, 454, 222, 12], 'representative': 16182117637901783, 'size': 60}
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id: 95761427
{'aut_label': '55R1', 'centralizer': '60.A', 'counter': 457, 'group_counter': 9, 'group_order': 798600, 'label': '55R-2', 'order': 55, 'powers': [454, 455, 222, 13], 'representative': 28417497064192600, 'size': 60}
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id: 95761428
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 458, 'group_counter': 9, 'group_order': 798600, 'label': '55S1', 'order': 55, 'powers': [460, 461, 223, 10], 'representative': 5858512907307474, 'size': 60}
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id: 95761429
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 459, 'group_counter': 9, 'group_order': 798600, 'label': '55S-1', 'order': 55, 'powers': [461, 460, 223, 11], 'representative': 36742438673112665, 'size': 60}
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id: 95761431
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 460, 'group_counter': 9, 'group_order': 798600, 'label': '55S2', 'order': 55, 'powers': [459, 458, 223, 12], 'representative': 16677999605159614, 'size': 60}
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id: 95761432
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 461, 'group_counter': 9, 'group_order': 798600, 'label': '55S-2', 'order': 55, 'powers': [458, 459, 223, 13], 'representative': 26744598130643372, 'size': 60}
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id: 95761433
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 462, 'group_counter': 9, 'group_order': 798600, 'label': '55T1', 'order': 55, 'powers': [464, 465, 224, 12], 'representative': 17094441807375147, 'size': 60}
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id: 95761434
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 463, 'group_counter': 9, 'group_order': 798600, 'label': '55T-1', 'order': 55, 'powers': [465, 464, 224, 13], 'representative': 11035001940795827, 'size': 60}
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id: 95761435
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 464, 'group_counter': 9, 'group_order': 798600, 'label': '55T2', 'order': 55, 'powers': [463, 462, 224, 11], 'representative': 20538971822202825, 'size': 60}
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id: 95761436
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 465, 'group_counter': 9, 'group_order': 798600, 'label': '55T-2', 'order': 55, 'powers': [462, 463, 224, 10], 'representative': 43689118292493485, 'size': 60}
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id: 95761437
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 466, 'group_counter': 9, 'group_order': 798600, 'label': '55U1', 'order': 55, 'powers': [468, 469, 225, 12], 'representative': 17093423079278068, 'size': 60}
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id: 95761438
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 467, 'group_counter': 9, 'group_order': 798600, 'label': '55U-1', 'order': 55, 'powers': [469, 468, 225, 13], 'representative': 11035341458366230, 'size': 60}
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id: 95761439
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 468, 'group_counter': 9, 'group_order': 798600, 'label': '55U2', 'order': 55, 'powers': [467, 466, 225, 11], 'representative': 20539705258116464, 'size': 60}
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id: 95761440
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 469, 'group_counter': 9, 'group_order': 798600, 'label': '55U-2', 'order': 55, 'powers': [466, 467, 225, 10], 'representative': 43688045592329356, 'size': 60}
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id: 95761442
{'aut_label': '55N1', 'centralizer': '60.A', 'counter': 470, 'group_counter': 9, 'group_order': 798600, 'label': '55V1', 'order': 55, 'powers': [472, 473, 226, 11], 'representative': 37688946056500318, 'size': 60}
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id: 95761443
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id: 95761484
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id: 95761500
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id: 95761505
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id: 95761510
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id: 95761515
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id: 95761516
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id: 95761520
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id: 95761729
{'aut_label': '330A1', 'centralizer': None, 'counter': 729, 'group_counter': 9, 'group_order': 798600, 'label': '330A7', 'order': 330, 'powers': [725, 506, 502, 315], 'representative': 11449148457027399, 'size': 2420}
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id: 95761731
{'aut_label': '330A1', 'centralizer': None, 'counter': 730, 'group_counter': 9, 'group_order': 798600, 'label': '330A-7', 'order': 330, 'powers': [726, 505, 502, 316], 'representative': 26249669228392408, 'size': 2420}
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group 798600.i does not appear in gps_qchar
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group 798600.i does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 20086465
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 798600, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 330, 'label': '798600.i.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '798600.i', 'subgroup_hash': 3422282137891332107, 'subgroup_order': 798600, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'supersolvable': False, 'sylow': 0}
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id: 20086476
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 399300, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '399300.d', 'subgroup_hash': 457965446996854508, 'subgroup_order': 399300, 'subgroup_tex': 'C_{11}\\wr C_3:C_{10}^2', 'supersolvable': False, 'sylow': 0}
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id: 20086487
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 399300, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '399300.c', 'subgroup_hash': 3065447950497445020, 'subgroup_order': 399300, 'subgroup_tex': 'C_{11}\\wr C_3:C_{10}^2', 'supersolvable': False, 'sylow': 0}
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id: 20086498
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 399300, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '399300.l', 'subgroup_hash': 9134074732921487157, 'subgroup_order': 399300, 'subgroup_tex': 'C_{10}\\times C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
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id: 20086509
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': False, 'core_order': 399300, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '399300.b', 'subgroup_hash': 8973964732940461004, 'subgroup_order': 399300, 'subgroup_tex': 'C_{11}\\wr C_3:C_{10}^2', 'supersolvable': False, 'sylow': 0}
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id: 20086520
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 110, 'label': '798600.i.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.M', 'outer_equivalence': True, 'perfect': False, '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': '266200.z', 'subgroup_hash': 4368213962045211367, 'subgroup_order': 266200, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 20086531
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 199650, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '199650.d', 'subgroup_hash': 2700592477026112751, 'subgroup_order': 199650, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
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id: 20086542
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 199650, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '199650.a', 'subgroup_hash': 5863570687035261173, 'subgroup_order': 199650, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
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id: 20086546
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 199650, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '199650.b', 'subgroup_hash': 4576048278478564701, 'subgroup_order': 199650, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
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id: 20086466
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 199650, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '199650.c', 'subgroup_hash': 3165096110586242599, 'subgroup_order': 199650, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
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id: 20086467
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 159720, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.5.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '159720.bh', 'subgroup_hash': 4380910706109836196, 'subgroup_order': 159720, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_6)', 'supersolvable': False, 'sylow': 0}
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id: 20086468
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': False, 'core_order': 159720, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.5.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '159720.i', 'subgroup_hash': 5808730419133889869, 'subgroup_order': 159720, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_6)', 'supersolvable': False, 'sylow': 0}
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id: 20086469
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 133100, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bz', 'subgroup_hash': 5431840739660330915, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 20086470
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 99825, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 165, 'label': '798600.i.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '99825.b', 'subgroup_hash': 5662928180228258798, 'subgroup_order': 99825, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{15}', 'supersolvable': False, 'sylow': 0}
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id: 20086471
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 79860, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.e', 'subgroup_hash': 5510129331216617240, 'subgroup_order': 79860, 'subgroup_tex': 'C_{10}\\times C_{11}\\wr S_3', 'supersolvable': False, 'sylow': 0}
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id: 20086472
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 79860, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.j', 'subgroup_hash': 8483363334231444948, 'subgroup_order': 79860, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_{10})', 'supersolvable': False, 'sylow': 0}
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id: 20086473
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 79860, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.a', 'subgroup_hash': 3874519618609808085, 'subgroup_order': 79860, 'subgroup_tex': 'C_5\\times C_{11}^2:D_{66}', 'supersolvable': False, 'sylow': 0}
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id: 20086474
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 79860, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.i', 'subgroup_hash': 6069995518264252778, 'subgroup_order': 79860, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_{10})', 'supersolvable': False, 'sylow': 0}
-
id: 20086475
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 79860, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.w', 'subgroup_hash': 7708702867073487017, 'subgroup_order': 79860, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086477
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 79860, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.v', 'subgroup_hash': 8211913278864424347, 'subgroup_order': 79860, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086478
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 79860, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.l', 'subgroup_hash': 8448036465680528711, 'subgroup_order': 79860, 'subgroup_tex': 'C_5\\times C_{11}^3:D_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086479
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': False, 'core_order': 79860, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.10.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '79860.g', 'subgroup_hash': 7191359419247962180, 'subgroup_order': 79860, 'subgroup_tex': 'C_{11}^3:(S_3\\times C_{10})', 'supersolvable': False, 'sylow': 0}
-
id: 20086480
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 7260, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.11.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.M', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72600.s', 'subgroup_hash': 8425065222107033122, 'subgroup_order': 72600, 'subgroup_tex': 'C_{11}^2:(S_3\\times C_{10}^2)', 'supersolvable': False, 'sylow': 0}
-
id: 20086481
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 66550, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.be', 'subgroup_hash': 1499375190552015576, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086482
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 66550, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bj', 'subgroup_hash': 4052286586211150668, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086483
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 39930, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.b', 'subgroup_hash': 9086725791581305347, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^2:C_{330}', 'supersolvable': False, 'sylow': 0}
-
id: 20086484
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.e', 'subgroup_hash': 5288468549371700065, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086485
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 39930, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.c', 'subgroup_hash': 164722554699628861, 'subgroup_order': 39930, 'subgroup_tex': 'C_5\\times C_{11}\\wr S_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086486
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.f', 'subgroup_hash': 5912511948261804587, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^3:(C_5\\times S_3)', 'supersolvable': False, 'sylow': 0}
-
id: 20086488
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.a', 'subgroup_hash': 2044870657362809067, 'subgroup_order': 39930, 'subgroup_tex': 'C_5\\times C_{11}^2:D_{33}', 'supersolvable': False, 'sylow': 0}
-
id: 20086489
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.g', 'subgroup_hash': 7138585222631243948, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^3:(C_5\\times S_3)', 'supersolvable': False, 'sylow': 0}
-
id: 20086490
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.i', 'subgroup_hash': 6933987612751891705, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086491
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 39930, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.20.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39930.d', 'subgroup_hash': 1634943537702413028, 'subgroup_order': 39930, 'subgroup_tex': 'C_{11}^3:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086492
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 33275, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 55, 'label': '798600.i.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '33275.m', 'subgroup_hash': 8888078318959014197, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
-
id: 20086493
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 31944, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 66, 'label': '798600.i.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '31944.p', 'subgroup_hash': 5262739525632193437, 'subgroup_order': 31944, 'subgroup_tex': 'C_{11}^3:(C_2\\times D_6)', 'supersolvable': False, 'sylow': 0}
-
id: 20086494
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 26620, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.30.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.cc', 'subgroup_hash': 1157011193106758302, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086495
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 26620, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.30.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '30.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': 4947660514394618259, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086496
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 19965, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.40.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19965.a', 'subgroup_hash': 7190813803011991355, 'subgroup_order': 19965, 'subgroup_tex': 'C_{11}^2:C_{165}', 'supersolvable': False, 'sylow': 0}
-
id: 20086497
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 19965, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.40.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19965.b', 'subgroup_hash': 7907436567605047674, 'subgroup_order': 19965, 'subgroup_tex': 'C_{11}^3:C_{15}', 'supersolvable': False, 'sylow': 0}
-
id: 20086499
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 15972, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.50.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15972.c', 'subgroup_hash': 914080742366400260, 'subgroup_order': 15972, 'subgroup_tex': 'C_{11}^3:D_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086500
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 15972, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.50.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15972.d', 'subgroup_hash': 398518833463544848, 'subgroup_order': 15972, 'subgroup_tex': 'C_{11}^2:D_{66}', 'supersolvable': False, 'sylow': 0}
-
id: 20086501
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 15972, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.50.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15972.l', 'subgroup_hash': 1945618703879820805, 'subgroup_order': 15972, 'subgroup_tex': 'C_2\\times C_{11}^3:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086502
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 15972, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.50.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15972.f', 'subgroup_hash': 7089967003474745779, 'subgroup_order': 15972, 'subgroup_tex': 'C_{11}^3:D_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086503
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 13310, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.60.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.d', 'subgroup_hash': 2654372139774726913, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2\\times C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 20086504
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 13310, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.60.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': 214565782800920289, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086505
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 13310, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.60.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bv', 'subgroup_hash': 3094167567471054012, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086506
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 13310, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.60.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': 423336287738452335, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 20086507
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 7986, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.100.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7986.b', 'subgroup_hash': 5696288358685184522, 'subgroup_order': 7986, 'subgroup_tex': 'C_{11}^2:C_{66}', 'supersolvable': False, 'sylow': 0}
-
id: 20086508
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 7986, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.100.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7986.a', 'subgroup_hash': 6200072154976712983, 'subgroup_order': 7986, 'subgroup_tex': 'C_{11}\\wr S_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086510
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 7986, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.100.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7986.c', 'subgroup_hash': 8857901871713769559, 'subgroup_order': 7986, 'subgroup_tex': 'C_{11}^2:D_{33}', 'supersolvable': False, 'sylow': 0}
-
id: 20086511
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 7986, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.100.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7986.g', 'subgroup_hash': 1337999197698333537, 'subgroup_order': 7986, 'subgroup_tex': 'C_{11}^3:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086512
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 7260, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.110.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7260.r', 'subgroup_hash': 482930878614148496, 'subgroup_order': 7260, 'subgroup_tex': 'C_{10}\\times C_{11}^2:S_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 6655, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.120.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.3', 'subgroup_hash': 3, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2\\times C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 20086514
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 6655, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.120.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '120.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': 17, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 20086515
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.121.A', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.a1.M', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6600.b', 'subgroup_hash': 4582485043419730863, 'subgroup_order': 6600, 'subgroup_tex': 'C_{66}:C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 20086516
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 5324, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.150.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '150.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '150.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 150, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.m', 'subgroup_hash': 9104936586866896052, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 20086517
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 3993, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 33, 'label': '798600.i.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3993.6', 'subgroup_hash': 6, 'subgroup_order': 3993, 'subgroup_tex': 'C_{11}\\wr C_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086518
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 3630, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.220.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3630.f', 'subgroup_hash': 2935772936355513828, 'subgroup_order': 3630, 'subgroup_tex': 'C_{11}^2:C_{30}', 'supersolvable': False, 'sylow': 0}
-
id: 20086519
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 3630, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.220.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3630.i', 'subgroup_hash': 3726747895657894889, 'subgroup_order': 3630, 'subgroup_tex': 'C_5\\times C_{11}^2:S_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086521
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 2662, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.300.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '300.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '300.46', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.3', 'subgroup_hash': 3, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 20086522
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 2662, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.300.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '300.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '300.46', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': 12, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 20086523
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 1815, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.440.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '440.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '440.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1815.8', 'subgroup_hash': 8, 'subgroup_order': 1815, 'subgroup_tex': 'C_{11}^2:C_{15}', 'supersolvable': False, 'sylow': 0}
-
id: 20086524
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 1452, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.550.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '550.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '550.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1452.23', 'subgroup_hash': 23, 'subgroup_order': 1452, 'subgroup_tex': 'C_{11}^2:D_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086525
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 1331, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 11, 'label': '798600.i.600.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '600.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '600.202', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': 5, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 11}
-
id: 20086526
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 1210, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.660.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '660.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '660.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 660, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.27', 'subgroup_hash': 27, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 20086527
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 726, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.1100.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '726.7', 'subgroup_hash': 7, 'subgroup_order': 726, 'subgroup_tex': 'C_{11}^2:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 20086528
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 726, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.1100.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '726.5', 'subgroup_hash': 5, 'subgroup_order': 726, 'subgroup_tex': 'C_{11}^2:S_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086529
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 605, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.1320.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1320.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1320.142', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 142, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.7', 'subgroup_hash': 7, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}\\times C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 20086530
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': True, 'core_order': 363, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.2200.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2200.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2200.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8517226613379590578, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '363.2', 'subgroup_hash': 2, 'subgroup_order': 363, 'subgroup_tex': 'C_{11}^2:C_3', 'supersolvable': False, 'sylow': 0}
-
id: 20086532
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 242, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.3300.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3300.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3300.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4469870155340876666, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 3300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{33}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 20086533
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 13310, 'characteristic': True, 'core_order': 121, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '798600.i.6600.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '6600.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6600.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4582485043419730863, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{66}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
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id: 20086534
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 79860, 'characteristic': True, 'core_order': 110, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.7260.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '7260.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7237787727408842954, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 7260, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(C_{10}\\times S_3)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': 6, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
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id: 20086535
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 79860, 'characteristic': True, 'core_order': 55, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.14520.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14520.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '14520.bk', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3901236506553590707, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 14520, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(C_{10}\\times D_6)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 20086536
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '798600.i.31944.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '31944.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31944, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
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id: 20086537
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 79860, 'characteristic': True, 'core_order': 22, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.36300.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36300.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36300.p', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 235500188509514321, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 36300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(D_6\\times C_5^2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
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id: 20086538
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 79860, 'characteristic': True, 'core_order': 11, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.72600.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '72600.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72600.s', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8425065222107033122, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(S_3\\times C_{10}^2)', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 20086539
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 798600, 'characteristic': True, 'core_order': 10, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.79860.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '79860.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '79860.g', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7191359419247962180, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 79860, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^3:(S_3\\times C_{10})', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 20086540
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '798600.i.99825.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '99825.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 99825, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 2}
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id: 20086541
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 798600, 'characteristic': True, 'core_order': 5, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.159720.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '159720.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '159720.i', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5808730419133889869, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 159720, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^3:(C_{10}\\times D_6)', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
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id: 20086543
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '798600.i.266200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '266200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 266200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 20086544
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 798600, 'characteristic': True, 'core_order': 2, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '798600.i.399300.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '399300.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '399300.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8973964732940461004, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 399300, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}\\wr C_3:C_{10}^2', '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: 20086545
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '798600.i', 'ambient_counter': 9, 'ambient_order': 798600, 'ambient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'central': False, 'central_factor': False, 'centralizer_order': 798600, 'characteristic': True, 'core_order': 1, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '798600.i.798600.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '798600.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '798600.i', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3422282137891332107, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 798600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^3:(S_3\\times C_{10}^2)', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'PC', 'U1', 'D3', '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: 20086493
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '25.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 24062392666627257, 26768269477543249, 24088832176442281, 26564284830018646, 6531256166667508, 6942418787936664], 'label': '798600.i.25.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '25.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '25.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086494
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '30.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '30.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 40834260112390626, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.30.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '30.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086495
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '30.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '30.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [40862508539604542, 24062392666627257, 26564284830018646, 6531256166667508, 16771867567363052, 25386925914763975], 'label': '798600.i.30.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '30.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086496
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '40.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '40.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.40.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '40.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086497
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '40.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '40.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 16771867567363052], 'label': '798600.i.40.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '40.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086498
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19358111333213666, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086499
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '50.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '50.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 1498403684893186, 44074769515001263], 'label': '798600.i.50.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '50.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '50.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.A', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086500
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '50.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '50.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26768269477543249, 24088832176442281, 26564284830018646, 6531256166667508, 45187299069376969], 'label': '798600.i.50.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '50.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '50.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086501
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '50.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '50.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 6942418787936664], 'label': '798600.i.50.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '50.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '50.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086502
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '50.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '50.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 1498403684893186, 6942418787936664], 'label': '798600.i.50.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '50.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '50.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086503
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '60.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '60.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10708530273668812, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.60.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '60.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086504
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '60.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '60.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 12855103595531635, 45187299069376969], 'label': '798600.i.60.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '60.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086505
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '60.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '60.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40834260112390626, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.60.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '60.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086506
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '60.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': None, 'contains': None, 'core': '60.D', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [16417175864707636, 24062392666627257, 26564284830018646, 21124906526120956, 6531256166667508], 'label': '798600.i.60.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '60.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086507
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '100.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '100.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 45187299069376969], 'label': '798600.i.100.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '100.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '100.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086508
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '100.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '100.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 44074769515001263], 'label': '798600.i.100.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '100.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '100.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086509
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [24062392666627257, 28217003928274391, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086510
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '100.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '100.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 16682815598442844], 'label': '798600.i.100.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '100.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '100.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086511
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '100.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '100.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508], 'label': '798600.i.100.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '100.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '100.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086512
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '110.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '110.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 4076248617653190, 44570560802962600, 37595466963011736], 'label': '798600.i.110.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '110.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '110.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086513
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '120.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '120.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.120.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '120.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086514
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '120.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '120.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 16771867567363052], 'label': '798600.i.120.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '120.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086515
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '121.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '7260.A', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21734116719837990, 11770099032718437, 44892999667169041, 21906204761448595, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.121.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.A', 'old_label': '121.a1.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086516
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '150.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '150.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 24062392666627257, 26564284830018646, 6531256166667508, 6942418787936664], 'label': '798600.i.150.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '150.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '150.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086517
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508], 'label': '798600.i.200.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '200.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '200.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086518
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '220.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '220.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 8354548214002608, 37595466963011736], 'label': '798600.i.220.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '220.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '220.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086519
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '220.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '220.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 44570560802962600, 37595466963011736], 'label': '798600.i.220.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '220.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '220.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086467
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '5.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 40834260112390626, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 36970536273745835], 'label': '798600.i.5.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '5.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086468
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '5.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '5.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [43004988833917993, 19358111333213666, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 33480963995368268, 16800115996348529], 'label': '798600.i.5.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '5.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086469
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19358111333213666, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086470
{'ambient': '798600.i', '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': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086471
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1757147048397007, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 44074769515001263], 'label': '798600.i.10.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086472
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '10.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 36228907809311311, 6531256166667508, 16800115996348529, 1816762182272074], 'label': '798600.i.10.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086473
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10708530273668812, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 36970536273745835], 'label': '798600.i.10.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.C', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086474
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '10.D', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 10522401710269773, 24088832176442281, 26564284830018646, 6531256166667508, 12855103595531635, 45187299069376969], 'label': '798600.i.10.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086475
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 40834260112390626, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.10.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086476
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 28217003928274391, 24088832176442281, 26564284830018646, 6531256166667508, 2251266753593918, 37595466963011736, 16771867567363052], 'label': '798600.i.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086477
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '10.F', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 41920257492784163, 24088832176442281, 26564284830018646, 6531256166667508, 7118183639693253, 4240045248130712], 'label': '798600.i.10.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.F', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086478
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40834260112390626, 1757147048397007, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.10.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086479
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '10.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': None, 'contains': None, 'core': '10.H', 'coset_action_label': None, 'count': 20, 'diagramx': None, 'generators': [3684852789928726, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 21918983361093563, 12855103595531635], 'label': '798600.i.10.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086480
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '11.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '110.A', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 17004129273547462, 37595466963011736, 16771867567363052, 11169068435266669, 25386925914763975], 'label': '798600.i.11.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.A', 'old_label': '11.a1.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086481
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10708530273668812, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086482
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '12.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19358111333213666, 24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086483
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '20.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10708530273668812, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.20.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086484
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': None, 'contains': None, 'core': '20.B', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 12855103595531635, 45187299069376969], 'label': '798600.i.20.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086485
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 44074769515001263], 'label': '798600.i.20.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086486
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': None, 'contains': None, 'core': '20.D', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 12192601963543459, 12855103595531635], 'label': '798600.i.20.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086487
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16771867567363052, 10708530273668812, 24062392666627257, 10522401710269773, 37595466963011736, 24088832176442281, 26564284830018646, 6531256166667508], 'label': '798600.i.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086488
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 36970536273745835], 'label': '798600.i.20.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.E', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086489
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': None, 'contains': None, 'core': '20.F', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [24062392666627257, 10522401710269773, 24088832176442281, 26564284830018646, 6531256166667508, 12855103595531635], 'label': '798600.i.20.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086490
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '20.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40834260112390626, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736], 'label': '798600.i.20.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086491
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '20.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': None, 'contains': None, 'core': '20.H', 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [29416683598994156, 24062392666627257, 24088832176442281, 26564284830018646, 21124906526120956, 6531256166667508], 'label': '798600.i.20.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '20.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086492
{'ambient': '798600.i', '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': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086465
{'ambient': '798600.i', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19358111333213666, 24062392666627257, 10522401710269773, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086466
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086520
{'ambient': '798600.i', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [19358111333213666, 24062392666627257, 10522401710269773, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052, 25386925914763975], 'label': '798600.i.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086521
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '300.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '300.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 45187299069376969], 'label': '798600.i.300.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '300.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '300.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086522
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '300.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '300.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508, 6942418787936664], 'label': '798600.i.300.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '300.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '300.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086523
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '440.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '440.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 37595466963011736], 'label': '798600.i.440.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '440.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '440.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086524
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '550.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '550.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 44570560802962600, 967778414433974], 'label': '798600.i.550.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '550.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '550.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086525
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '600.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '600.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 6531256166667508], 'label': '798600.i.600.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '600.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '600.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086526
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '660.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '660.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 8354548214002608, 37595466963011736], 'label': '798600.i.660.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '660.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '660.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '660.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086527
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '1100.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1100.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 41772741070013040], 'label': '798600.i.1100.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1100.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1100.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086528
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '1100.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1100.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237, 967778414433974], 'label': '798600.i.1100.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1100.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1100.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086529
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '1320.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1320.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 37595466963011736], 'label': '798600.i.1320.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1320.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1320.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1320.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086530
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '2200.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '7260.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2200.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 22911921540663237], 'label': '798600.i.2200.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2200.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2200.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086531
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10708530273668812, 24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086532
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '3300.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3300.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646, 41772741070013040], 'label': '798600.i.3300.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3300.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3300.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3300.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086533
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '6600.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '60.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6600.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24062392666627257, 26564284830018646], 'label': '798600.i.6600.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6600.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6600.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6600.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086534
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '7260.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '7260.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3120543910598184, 44892999667169041, 37595466963011736], 'label': '798600.i.7260.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '7260.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '7260.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7260.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086535
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '14520.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '14520.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [44892999667169041, 37595466963011736], 'label': '798600.i.14520.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14520.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '14520.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14520.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086536
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '31944.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '159720.A', 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [37595466963011736, 16771867567363052], 'label': '798600.i.31944.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31944.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31944.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086537
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '36300.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '36300.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [44892999667169041, 3032976074432159], 'label': '798600.i.36300.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36300.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '36300.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36300.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086538
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '72600.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72600.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [44892999667169041], 'label': '798600.i.72600.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72600.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72600.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72600.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086539
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '79860.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '79860.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8354548214002608, 37595466963011736], 'label': '798600.i.79860.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '79860.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '79860.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79860.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086540
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '99825.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '399300.A', 'coset_action_label': None, 'count': 3993, 'diagramx': None, 'generators': [39041701890904484, 41772741070013040, 14329986897694592], 'label': '798600.i.99825.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '99825.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '99825.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086541
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '159720.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '159720.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37595466963011736], 'label': '798600.i.159720.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '159720.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '159720.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '159720.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086542
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 28217003928274391, 24088832176442281, 26564284830018646, 6531256166667508, 37595466963011736, 16771867567363052], 'label': '798600.i.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086543
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '266200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '798600.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [23409270149458726], 'label': '798600.i.266200.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2200.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.A', 'old_label': '266200.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266200.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 20086544
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '399300.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '399300.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41772741070013040], 'label': '798600.i.399300.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '399300.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '399300.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '399300.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086545
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '798600.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '798600.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '798600.i.798600.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '798600.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '798600.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '798600.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 20086546
{'ambient': '798600.i', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '79860.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24062392666627257, 24088832176442281, 26564284830018646, 6531256166667508, 40777478742982893, 37595466963011736, 16771867567363052], 'label': '798600.i.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': None}
