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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '110.6', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 110, 'aut_gen_orders': [110, 110, 5], 'aut_gens': [[1, 110, 1210, 13310], [109801, 121000, 54780, 16060], [115821, 82500, 3520, 45650], [26761, 22660, 72710, 40810]], 'aut_group': None, 'aut_hash': 8051729710038080306, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16105100, 'aut_permdeg': 2541, 'aut_perms': 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'aut_phi_ratio': 302.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [5, 1331, 1, 4], [10, 1331, 1, 4], [11, 5, 2, 1], [11, 55, 2, 1], [11, 55, 22, 1], [11, 121, 10, 1], [11, 605, 20, 1], [22, 5, 2, 1], [22, 55, 2, 1], [22, 55, 22, 1], [22, 121, 10, 1], [22, 605, 20, 1], [55, 1331, 10, 4], [110, 1331, 10, 4]], 'aut_supersolvable': True, 'aut_tex': 'C_{11}^3.C_{11}^2.C_{10}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': None, 'autcentquo_hash': 8051729710038080306, 'autcentquo_nilpotent': False, 'autcentquo_order': 16105100, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{11}^3.C_{11}^2.C_{10}^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [5, 1331, 4], [10, 1331, 4], [11, 5, 2], [11, 55, 24], [11, 121, 10], [11, 605, 20], [22, 5, 2], [22, 55, 24], [22, 121, 10], [22, 605, 20], [55, 1331, 40], [110, 1331, 40]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '73205.h', 'commutator_count': 1, 'commutator_label': '1331.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '5.1', '11.1', '11.1', '11.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 17, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['73205.h', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [5, 1331, 4, 1], [10, 1331, 4, 1], [11, 5, 2, 1], [11, 55, 2, 12], [11, 121, 10, 1], [11, 605, 10, 2], [22, 5, 2, 1], [22, 55, 2, 12], [22, 121, 10, 1], [22, 605, 10, 2], [55, 1331, 40, 1], [110, 1331, 40, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 864, 'exponent': 110, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[55, 0, 22]], 'familial': False, 'frattini_label': '121.2', 'frattini_quotient': '1210.18', 'hash': 1390524005171205627, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 55, 'inner_gen_orders': [55, 11, 11, 11], 'inner_gens': [[1, 46530, 91630, 92840], [114511, 110, 1210, 13310], [70511, 110, 1210, 13310], [81401, 110, 1210, 13310]], 'inner_hash': 2062898170576824880, 'inner_nilpotent': False, 'inner_order': 73205, 'inner_split': True, 'inner_tex': 'C_{11}^3:C_{55}', 'inner_used': [1, 2], 'irrC_degree': 55, 'irrQ_degree': 110, 'irrQ_dim': 110, 'irrR_degree': 110, 'irrep_stats': [[1, 110], [5, 44], [55, 48]], 'label': '146410.q', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C11^3:C110', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 28, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 202, 'number_divisions': 38, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 54, 'number_subgroup_classes': 140, 'number_subgroups': 44168, 'old_label': None, 'order': 146410, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1], [5, 5324], [10, 5324], [11, 14640], [22, 14640], [55, 53240], [110, 53240]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 110, 'outer_gen_orders': [10, 22], 'outer_gen_pows': [0, 99], 'outer_gens': [[101, 17050, 89980, 142670], [1, 25300, 32560, 49500]], 'outer_group': '220.8', 'outer_hash': 8, 'outer_nilpotent': False, 'outer_order': 220, 'outer_permdeg': 15, 'outer_perms': [27518697367, 489243567016], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{22}:C_{10}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 123, 'pgroup': 0, 'primary_abelian_invariants': [2, 5, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [4, 2], [10, 4], [40, 2], [50, 4], [110, 24]], 'representations': {'PC': {'code': '4290184925863728012599116006832507997877911974674136879463299039999', 'gens': [1, 4, 5, 6], 'pres': [6, -2, -5, -11, -11, 11, 11, 12, 67, 1116723, 1293609, 128583, 2748904, 899260, 148846, 3342245, 2467091, 168317]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [5624305910397809, 41644812229207363, 27716665601552092, 1099704302185918, 32182222080390795, 41772741070013040]}, 'Perm': {'d': 123, 'gens': [106953008489163494792709497684697711125167930368178446468135258545435809596931962916434287022993039628400810181850970590619954541763042427731285538339722812250155876959526217601885630912727186616637025648, 206519619918416946310518742942078085969237806049487009269297971305261334050462466180786073521565447010836053786997919001871022074496931402081921421749279657076584495216477556150558568693852615543207635551, 306086134929864038213931975814073711032753545139127499246647800700787509484982081204410192072114266942084827673676922876582338885059298376542846578920785714324663464284570445845299164631498397380928438705, 405652803116739584970468856606386127245092313215684447813889552463778337725325981368985379050814295411538797819105355926758104941880036820044137953661811775699718561550709523952823458821893719007762831585, 496315697025407853103486024612314016929389388329728427418640149014128856351922173020689685481997595106177936664126533504657337340034597331507323671581207717105355788881139396446868202111414657355405727630, 1]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [110], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^3:C_{110}', 'transitive_degree': 242, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 108767737
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 17, 'group_order': 146410, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 108767848
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 17, 'group_order': 146410, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 55, 'size': 1}
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id: 108767862
{'aut_label': '5A1', 'centralizer': '1331.a1', 'counter': 3, 'group_counter': 17, 'group_order': 146410, 'label': '5A1', 'order': 5, 'powers': [5, 1, 3], 'representative': 10626, 'size': 1331}
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id: 108767873
{'aut_label': '5A-1', 'centralizer': '1331.a1', 'counter': 4, 'group_counter': 17, 'group_order': 146410, 'label': '5A-1', 'order': 5, 'powers': [6, 1, 4], 'representative': 1364, 'size': 1331}
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id: 108767884
{'aut_label': '5A2', 'centralizer': '1331.a1', 'counter': 5, 'group_counter': 17, 'group_order': 146410, 'label': '5A2', 'order': 5, 'powers': [4, 1, 5], 'representative': 13222, 'size': 1331}
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id: 108767895
{'aut_label': '5A-2', 'centralizer': '1331.a1', 'counter': 6, 'group_counter': 17, 'group_order': 146410, 'label': '5A-2', 'order': 5, 'powers': [3, 1, 6], 'representative': 6688, 'size': 1331}
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id: 108767906
{'aut_label': '10A1', 'centralizer': '1331.a1', 'counter': 7, 'group_counter': 17, 'group_order': 146410, 'label': '10A1', 'order': 10, 'powers': [3, 2, 7], 'representative': 6633, 'size': 1331}
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id: 108767917
{'aut_label': '10A-1', 'centralizer': '1331.a1', 'counter': 8, 'group_counter': 17, 'group_order': 146410, 'label': '10A-1', 'order': 10, 'powers': [4, 2, 8], 'representative': 13277, 'size': 1331}
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id: 108767928
{'aut_label': '10A3', 'centralizer': '1331.a1', 'counter': 9, 'group_counter': 17, 'group_order': 146410, 'label': '10A3', 'order': 10, 'powers': [6, 2, 9], 'representative': 1419, 'size': 1331}
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id: 108767738
{'aut_label': '10A-3', 'centralizer': '1331.a1', 'counter': 10, 'group_counter': 17, 'group_order': 146410, 'label': '10A-3', 'order': 10, 'powers': [5, 2, 10], 'representative': 10571, 'size': 1331}
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id: 108767749
{'aut_label': '11A1', 'centralizer': '5.a1', 'counter': 11, 'group_counter': 17, 'group_order': 146410, 'label': '11A1', 'order': 11, 'powers': [12, 11, 1], 'representative': 36740, 'size': 5}
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id: 108767760
{'aut_label': '11A1', 'centralizer': '5.a1', 'counter': 12, 'group_counter': 17, 'group_order': 146410, 'label': '11A-1', 'order': 11, 'powers': [11, 12, 1], 'representative': 124190, 'size': 5}
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id: 108767771
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 13, 'group_counter': 17, 'group_order': 146410, 'label': '11B1', 'order': 11, 'powers': [14, 13, 1], 'representative': 26620, 'size': 55}
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id: 108767782
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 14, 'group_counter': 17, 'group_order': 146410, 'label': '11B-1', 'order': 11, 'powers': [13, 14, 1], 'representative': 119790, 'size': 55}
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id: 108767793
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 15, 'group_counter': 17, 'group_order': 146410, 'label': '11C1', 'order': 11, 'powers': [16, 15, 1], 'representative': 2420, 'size': 55}
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id: 108767804
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 16, 'group_counter': 17, 'group_order': 146410, 'label': '11C-1', 'order': 11, 'powers': [15, 16, 1], 'representative': 10890, 'size': 55}
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id: 108767815
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 17, 'group_counter': 17, 'group_order': 146410, 'label': '11D1', 'order': 11, 'powers': [18, 17, 1], 'representative': 220, 'size': 55}
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id: 108767826
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 18, 'group_counter': 17, 'group_order': 146410, 'label': '11D-1', 'order': 11, 'powers': [17, 18, 1], 'representative': 990, 'size': 55}
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id: 108767837
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 19, 'group_counter': 17, 'group_order': 146410, 'label': '11E1', 'order': 11, 'powers': [20, 19, 1], 'representative': 29040, 'size': 55}
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id: 108767849
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 20, 'group_counter': 17, 'group_order': 146410, 'label': '11E-1', 'order': 11, 'powers': [19, 20, 1], 'representative': 130680, 'size': 55}
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id: 108767853
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 21, 'group_counter': 17, 'group_order': 146410, 'label': '11F1', 'order': 11, 'powers': [22, 21, 1], 'representative': 26840, 'size': 55}
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id: 108767854
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 22, 'group_counter': 17, 'group_order': 146410, 'label': '11F-1', 'order': 11, 'powers': [21, 22, 1], 'representative': 120780, 'size': 55}
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id: 108767855
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 23, 'group_counter': 17, 'group_order': 146410, 'label': '11G1', 'order': 11, 'powers': [24, 23, 1], 'representative': 2640, 'size': 55}
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id: 108767856
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 24, 'group_counter': 17, 'group_order': 146410, 'label': '11G-1', 'order': 11, 'powers': [23, 24, 1], 'representative': 11880, 'size': 55}
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id: 108767857
{'aut_label': '11H1', 'centralizer': '55.a1', 'counter': 25, 'group_counter': 17, 'group_order': 146410, 'label': '11H1', 'order': 11, 'powers': [26, 25, 1], 'representative': 55660, 'size': 55}
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id: 108767858
{'aut_label': '11H1', 'centralizer': '55.a1', 'counter': 26, 'group_counter': 17, 'group_order': 146410, 'label': '11H-1', 'order': 11, 'powers': [25, 26, 1], 'representative': 104060, 'size': 55}
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id: 108767859
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 27, 'group_counter': 17, 'group_order': 146410, 'label': '11I1', 'order': 11, 'powers': [28, 27, 1], 'representative': 31460, 'size': 55}
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id: 108767860
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 28, 'group_counter': 17, 'group_order': 146410, 'label': '11I-1', 'order': 11, 'powers': [27, 28, 1], 'representative': 128260, 'size': 55}
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id: 108767861
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 29, 'group_counter': 17, 'group_order': 146410, 'label': '11J1', 'order': 11, 'powers': [30, 29, 1], 'representative': 27060, 'size': 55}
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id: 108767863
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 30, 'group_counter': 17, 'group_order': 146410, 'label': '11J-1', 'order': 11, 'powers': [29, 30, 1], 'representative': 120560, 'size': 55}
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id: 108767864
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 31, 'group_counter': 17, 'group_order': 146410, 'label': '11K1', 'order': 11, 'powers': [32, 31, 1], 'representative': 80080, 'size': 55}
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id: 108767865
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 32, 'group_counter': 17, 'group_order': 146410, 'label': '11K-1', 'order': 11, 'powers': [31, 32, 1], 'representative': 67540, 'size': 55}
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id: 108767866
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 33, 'group_counter': 17, 'group_order': 146410, 'label': '11L1', 'order': 11, 'powers': [34, 33, 1], 'representative': 7480, 'size': 55}
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id: 108767867
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 34, 'group_counter': 17, 'group_order': 146410, 'label': '11L-1', 'order': 11, 'powers': [33, 34, 1], 'representative': 7040, 'size': 55}
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id: 108767868
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 35, 'group_counter': 17, 'group_order': 146410, 'label': '11M1', 'order': 11, 'powers': [36, 35, 1], 'representative': 58300, 'size': 55}
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id: 108767869
{'aut_label': '11B1', 'centralizer': '55.a1', 'counter': 36, 'group_counter': 17, 'group_order': 146410, 'label': '11M-1', 'order': 11, 'powers': [35, 36, 1], 'representative': 102630, 'size': 55}
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id: 108767870
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 37, 'group_counter': 17, 'group_order': 146410, 'label': '11N1', 'order': 11, 'powers': [39, 45, 1], 'representative': 83520, 'size': 121}
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id: 108767871
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 38, 'group_counter': 17, 'group_order': 146410, 'label': '11N-1', 'order': 11, 'powers': [40, 46, 1], 'representative': 35720, 'size': 121}
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id: 108767872
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 39, 'group_counter': 17, 'group_order': 146410, 'label': '11N2', 'order': 11, 'powers': [43, 38, 1], 'representative': 126450, 'size': 121}
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id: 108767874
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 40, 'group_counter': 17, 'group_order': 146410, 'label': '11N-2', 'order': 11, 'powers': [44, 37, 1], 'representative': 16220, 'size': 121}
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id: 108767875
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 41, 'group_counter': 17, 'group_order': 146410, 'label': '11N3', 'order': 11, 'powers': [46, 43, 1], 'representative': 127580, 'size': 121}
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id: 108767876
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 42, 'group_counter': 17, 'group_order': 146410, 'label': '11N-3', 'order': 11, 'powers': [45, 44, 1], 'representative': 115850, 'size': 121}
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id: 108767877
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 43, 'group_counter': 17, 'group_order': 146410, 'label': '11N4', 'order': 11, 'powers': [42, 40, 1], 'representative': 88010, 'size': 121}
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id: 108767878
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 44, 'group_counter': 17, 'group_order': 146410, 'label': '11N-4', 'order': 11, 'powers': [41, 39, 1], 'representative': 14070, 'size': 121}
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id: 108767879
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 45, 'group_counter': 17, 'group_order': 146410, 'label': '11N5', 'order': 11, 'powers': [38, 41, 1], 'representative': 6750, 'size': 121}
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id: 108767880
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 46, 'group_counter': 17, 'group_order': 146410, 'label': '11N-5', 'order': 11, 'powers': [37, 42, 1], 'representative': 31310, 'size': 121}
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id: 108767881
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 47, 'group_counter': 17, 'group_order': 146410, 'label': '11O1', 'order': 11, 'powers': [49, 55, 1], 'representative': 45470, 'size': 605}
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id: 108767882
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 48, 'group_counter': 17, 'group_order': 146410, 'label': '11O-1', 'order': 11, 'powers': [50, 56, 1], 'representative': 63210, 'size': 605}
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id: 108767883
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 49, 'group_counter': 17, 'group_order': 146410, 'label': '11O2', 'order': 11, 'powers': [53, 48, 1], 'representative': 1840, 'size': 605}
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id: 108767885
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 50, 'group_counter': 17, 'group_order': 146410, 'label': '11O-2', 'order': 11, 'powers': [54, 47, 1], 'representative': 84070, 'size': 605}
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id: 108767886
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 51, 'group_counter': 17, 'group_order': 146410, 'label': '11O3', 'order': 11, 'powers': [56, 53, 1], 'representative': 6500, 'size': 605}
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id: 108767887
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 52, 'group_counter': 17, 'group_order': 146410, 'label': '11O-3', 'order': 11, 'powers': [55, 54, 1], 'representative': 111640, 'size': 605}
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id: 108767888
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 53, 'group_counter': 17, 'group_order': 146410, 'label': '11O4', 'order': 11, 'powers': [52, 50, 1], 'representative': 24140, 'size': 605}
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id: 108767889
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 54, 'group_counter': 17, 'group_order': 146410, 'label': '11O-4', 'order': 11, 'powers': [51, 49, 1], 'representative': 23930, 'size': 605}
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id: 108767890
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 55, 'group_counter': 17, 'group_order': 146410, 'label': '11O5', 'order': 11, 'powers': [48, 51, 1], 'representative': 16700, 'size': 605}
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id: 108767891
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 56, 'group_counter': 17, 'group_order': 146410, 'label': '11O-5', 'order': 11, 'powers': [47, 52, 1], 'representative': 121570, 'size': 605}
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id: 108767892
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 57, 'group_counter': 17, 'group_order': 146410, 'label': '11P1', 'order': 11, 'powers': [59, 65, 1], 'representative': 12640, 'size': 605}
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id: 108767893
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 58, 'group_counter': 17, 'group_order': 146410, 'label': '11P-1', 'order': 11, 'powers': [60, 66, 1], 'representative': 130580, 'size': 605}
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id: 108767894
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 59, 'group_counter': 17, 'group_order': 146410, 'label': '11P2', 'order': 11, 'powers': [63, 58, 1], 'representative': 39690, 'size': 605}
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id: 108767896
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 60, 'group_counter': 17, 'group_order': 146410, 'label': '11P-2', 'order': 11, 'powers': [64, 57, 1], 'representative': 22240, 'size': 605}
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id: 108767897
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 61, 'group_counter': 17, 'group_order': 146410, 'label': '11P3', 'order': 11, 'powers': [66, 63, 1], 'representative': 140220, 'size': 605}
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id: 108767898
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 62, 'group_counter': 17, 'group_order': 146410, 'label': '11P-3', 'order': 11, 'powers': [65, 64, 1], 'representative': 70980, 'size': 605}
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id: 108767899
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 63, 'group_counter': 17, 'group_order': 146410, 'label': '11P4', 'order': 11, 'powers': [62, 60, 1], 'representative': 80370, 'size': 605}
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id: 108767900
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 64, 'group_counter': 17, 'group_order': 146410, 'label': '11P-4', 'order': 11, 'powers': [61, 59, 1], 'representative': 82320, 'size': 605}
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id: 108767901
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 65, 'group_counter': 17, 'group_order': 146410, 'label': '11P5', 'order': 11, 'powers': [58, 61, 1], 'representative': 66720, 'size': 605}
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id: 108767902
{'aut_label': '11O1', 'centralizer': '605.d1', 'counter': 66, 'group_counter': 17, 'group_order': 146410, 'label': '11P-5', 'order': 11, 'powers': [57, 62, 1], 'representative': 13030, 'size': 605}
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id: 108767903
{'aut_label': '22A1', 'centralizer': '5.a1', 'counter': 67, 'group_counter': 17, 'group_order': 146410, 'label': '22A1', 'order': 22, 'powers': [11, 67, 2], 'representative': 18425, 'size': 5}
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id: 108767904
{'aut_label': '22A1', 'centralizer': '5.a1', 'counter': 68, 'group_counter': 17, 'group_order': 146410, 'label': '22A-1', 'order': 22, 'powers': [12, 68, 2], 'representative': 82445, 'size': 5}
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id: 108767905
{'aut_label': '22B1', 'centralizer': '55.a1', 'counter': 69, 'group_counter': 17, 'group_order': 146410, 'label': '22B1', 'order': 22, 'powers': [13, 69, 2], 'representative': 13365, 'size': 55}
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id: 108767907
{'aut_label': '22B1', 'centralizer': '55.a1', 'counter': 70, 'group_counter': 17, 'group_order': 146410, 'label': '22B-1', 'order': 22, 'powers': [14, 70, 2], 'representative': 26675, 'size': 55}
-
id: 108767908
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id: 108767909
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id: 108767910
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id: 108767911
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id: 108767912
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id: 108767913
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id: 108767914
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id: 108767915
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id: 108767916
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id: 108767918
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id: 108767919
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id: 108767920
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id: 108767921
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id: 108767922
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id: 108767923
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id: 108767924
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id: 108767925
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id: 108767926
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id: 108767927
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id: 108767929
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id: 108767930
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id: 108767931
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id: 108767932
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id: 108767933
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id: 108767934
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id: 108767935
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id: 108767936
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id: 108767937
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id: 108767938
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id: 108767739
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id: 108767740
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id: 108767741
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id: 108767742
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id: 108767743
{'aut_label': '22O1', 'centralizer': '605.d1', 'counter': 104, 'group_counter': 17, 'group_order': 146410, 'label': '22O-1', 'order': 22, 'powers': [48, 108, 2], 'representative': 16645, 'size': 605}
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id: 108767744
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id: 108767745
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id: 108767746
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id: 108767747
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id: 108767748
{'aut_label': '22O1', 'centralizer': '605.d1', 'counter': 109, 'group_counter': 17, 'group_order': 146410, 'label': '22O7', 'order': 22, 'powers': [54, 112, 2], 'representative': 84125, 'size': 605}
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id: 108767750
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id: 108767751
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id: 108767752
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id: 108767753
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id: 108767754
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id: 108767755
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id: 108767756
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id: 108767757
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id: 108767758
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id: 108767759
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id: 108767761
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id: 108767762
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id: 108767763
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id: 108767764
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id: 108767765
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id: 108767766
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id: 108767767
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 126, 'group_counter': 17, 'group_order': 146410, 'label': '55A-2', 'order': 55, 'powers': [130, 40, 6], 'representative': 109108, 'size': 1331}
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id: 108767768
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id: 108767769
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id: 108767770
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id: 108767772
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id: 108767773
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id: 108767774
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id: 108767775
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id: 108767776
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id: 108767777
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id: 108767778
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id: 108767779
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id: 108767780
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id: 108767781
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id: 108767783
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id: 108767784
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id: 108767785
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id: 108767786
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id: 108767787
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id: 108767788
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id: 108767789
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id: 108767790
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id: 108767791
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id: 108767792
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id: 108767794
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id: 108767795
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id: 108767796
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id: 108767797
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id: 108767798
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id: 108767799
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id: 108767800
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id: 108767801
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id: 108767802
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id: 108767803
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id: 108767805
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-
id: 108767806
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 161, 'group_counter': 17, 'group_order': 146410, 'label': '55A27', 'order': 55, 'powers': [124, 45, 5], 'representative': 139092, 'size': 1331}
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id: 108767807
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 162, 'group_counter': 17, 'group_order': 146410, 'label': '55A-27', 'order': 55, 'powers': [123, 46, 6], 'representative': 142508, 'size': 1331}
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id: 108767808
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 163, 'group_counter': 17, 'group_order': 146410, 'label': '110A1', 'order': 110, 'powers': [123, 93, 7], 'representative': 142453, 'size': 1331}
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id: 108767809
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 164, 'group_counter': 17, 'group_order': 146410, 'label': '110A-1', 'order': 110, 'powers': [124, 94, 8], 'representative': 139147, 'size': 1331}
-
id: 108767810
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 165, 'group_counter': 17, 'group_order': 146410, 'label': '110A3', 'order': 110, 'powers': [127, 95, 9], 'representative': 141579, 'size': 1331}
-
id: 108767811
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 166, 'group_counter': 17, 'group_order': 146410, 'label': '110A-3', 'order': 110, 'powers': [128, 96, 10], 'representative': 72481, 'size': 1331}
-
id: 108767812
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 167, 'group_counter': 17, 'group_order': 146410, 'label': '110A7', 'order': 110, 'powers': [133, 99, 10], 'representative': 99131, 'size': 1331}
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id: 108767813
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 168, 'group_counter': 17, 'group_order': 146410, 'label': '110A-7', 'order': 110, 'powers': [134, 100, 9], 'representative': 54869, 'size': 1331}
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id: 108767814
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 169, 'group_counter': 17, 'group_order': 146410, 'label': '110A9', 'order': 110, 'powers': [137, 101, 8], 'representative': 53267, 'size': 1331}
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id: 108767816
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 170, 'group_counter': 17, 'group_order': 146410, 'label': '110A-9', 'order': 110, 'powers': [138, 102, 7], 'representative': 71803, 'size': 1331}
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id: 108767817
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 171, 'group_counter': 17, 'group_order': 146410, 'label': '110A13', 'order': 110, 'powers': [141, 102, 9], 'representative': 64829, 'size': 1331}
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id: 108767818
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 172, 'group_counter': 17, 'group_order': 146410, 'label': '110A-13', 'order': 110, 'powers': [142, 101, 10], 'representative': 67941, 'size': 1331}
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id: 108767819
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 173, 'group_counter': 17, 'group_order': 146410, 'label': '110A17', 'order': 110, 'powers': [147, 98, 10], 'representative': 1701, 'size': 1331}
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id: 108767820
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 174, 'group_counter': 17, 'group_order': 146410, 'label': '110A-17', 'order': 110, 'powers': [148, 97, 9], 'representative': 109399, 'size': 1331}
-
id: 108767821
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 175, 'group_counter': 17, 'group_order': 146410, 'label': '110A19', 'order': 110, 'powers': [151, 96, 8], 'representative': 64407, 'size': 1331}
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id: 108767822
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 176, 'group_counter': 17, 'group_order': 146410, 'label': '110A-19', 'order': 110, 'powers': [152, 95, 7], 'representative': 101803, 'size': 1331}
-
id: 108767823
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 177, 'group_counter': 17, 'group_order': 146410, 'label': '110A21', 'order': 110, 'powers': [153, 94, 7], 'representative': 117983, 'size': 1331}
-
id: 108767824
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 178, 'group_counter': 17, 'group_order': 146410, 'label': '110A-21', 'order': 110, 'powers': [154, 93, 8], 'representative': 101687, 'size': 1331}
-
id: 108767825
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 179, 'group_counter': 17, 'group_order': 146410, 'label': '110A23', 'order': 110, 'powers': [155, 93, 9], 'representative': 116119, 'size': 1331}
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id: 108767827
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 180, 'group_counter': 17, 'group_order': 146410, 'label': '110A-23', 'order': 110, 'powers': [156, 94, 10], 'representative': 101351, 'size': 1331}
-
id: 108767828
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 181, 'group_counter': 17, 'group_order': 146410, 'label': '110A27', 'order': 110, 'powers': [161, 97, 10], 'representative': 87421, 'size': 1331}
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id: 108767829
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 182, 'group_counter': 17, 'group_order': 146410, 'label': '110A-27', 'order': 110, 'powers': [162, 98, 9], 'representative': 12459, 'size': 1331}
-
id: 108767830
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 183, 'group_counter': 17, 'group_order': 146410, 'label': '110A29', 'order': 110, 'powers': [160, 99, 8], 'representative': 144627, 'size': 1331}
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id: 108767831
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 184, 'group_counter': 17, 'group_order': 146410, 'label': '110A-29', 'order': 110, 'powers': [159, 100, 7], 'representative': 72843, 'size': 1331}
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id: 108767832
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 185, 'group_counter': 17, 'group_order': 146410, 'label': '110A31', 'order': 110, 'powers': [158, 101, 7], 'representative': 23963, 'size': 1331}
-
id: 108767833
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 186, 'group_counter': 17, 'group_order': 146410, 'label': '110A-31', 'order': 110, 'powers': [157, 102, 8], 'representative': 127287, 'size': 1331}
-
id: 108767834
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 187, 'group_counter': 17, 'group_order': 146410, 'label': '110A37', 'order': 110, 'powers': [150, 100, 10], 'representative': 50051, 'size': 1331}
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id: 108767835
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 188, 'group_counter': 17, 'group_order': 146410, 'label': '110A-37', 'order': 110, 'powers': [149, 99, 9], 'representative': 30359, 'size': 1331}
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id: 108767836
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 189, 'group_counter': 17, 'group_order': 146410, 'label': '110A39', 'order': 110, 'powers': [146, 98, 8], 'representative': 997, 'size': 1331}
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id: 108767838
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 190, 'group_counter': 17, 'group_order': 146410, 'label': '110A-39', 'order': 110, 'powers': [145, 97, 7], 'representative': 144753, 'size': 1331}
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id: 108767839
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 191, 'group_counter': 17, 'group_order': 146410, 'label': '110A41', 'order': 110, 'powers': [144, 96, 7], 'representative': 16073, 'size': 1331}
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id: 108767840
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 192, 'group_counter': 17, 'group_order': 146410, 'label': '110A-41', 'order': 110, 'powers': [143, 95, 8], 'representative': 88977, 'size': 1331}
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id: 108767841
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 193, 'group_counter': 17, 'group_order': 146410, 'label': '110A43', 'order': 110, 'powers': [140, 94, 9], 'representative': 29169, 'size': 1331}
-
id: 108767842
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 194, 'group_counter': 17, 'group_order': 146410, 'label': '110A-43', 'order': 110, 'powers': [139, 93, 10], 'representative': 88531, 'size': 1331}
-
id: 108767843
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 195, 'group_counter': 17, 'group_order': 146410, 'label': '110A47', 'order': 110, 'powers': [136, 95, 10], 'representative': 36221, 'size': 1331}
-
id: 108767844
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 196, 'group_counter': 17, 'group_order': 146410, 'label': '110A-47', 'order': 110, 'powers': [135, 96, 9], 'representative': 44299, 'size': 1331}
-
id: 108767845
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 197, 'group_counter': 17, 'group_order': 146410, 'label': '110A49', 'order': 110, 'powers': [132, 97, 8], 'representative': 98377, 'size': 1331}
-
id: 108767846
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 198, 'group_counter': 17, 'group_order': 146410, 'label': '110A-49', 'order': 110, 'powers': [131, 98, 7], 'representative': 9973, 'size': 1331}
-
id: 108767847
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 199, 'group_counter': 17, 'group_order': 146410, 'label': '110A51', 'order': 110, 'powers': [130, 99, 7], 'representative': 109053, 'size': 1331}
-
id: 108767850
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 200, 'group_counter': 17, 'group_order': 146410, 'label': '110A-51', 'order': 110, 'powers': [129, 100, 8], 'representative': 132947, 'size': 1331}
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id: 108767851
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 201, 'group_counter': 17, 'group_order': 146410, 'label': '110A53', 'order': 110, 'powers': [126, 101, 9], 'representative': 53179, 'size': 1331}
-
id: 108767852
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 202, 'group_counter': 17, 'group_order': 146410, 'label': '110A-53', 'order': 110, 'powers': [125, 102, 10], 'representative': 44611, 'size': 1331}
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gps_qchar • Show schema
Hide schema
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id: 4001308
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4001319
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4001330
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1c', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4001340
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1d', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4001341
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1e', 'multiplicity': 10, 'nt': [11, 1], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4001342
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1f', 'multiplicity': 10, 'nt': [22, 1], 'qdim': 10, 'qvalues': [10, -10, 10, 10, 10, 10, -10, -10, -10, -10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4001345
{'cdim': 5, 'counter': 9, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5a', 'multiplicity': 2, 'nt': [11, 3], 'qdim': 10, 'qvalues': [10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4001309
{'cdim': 5, 'counter': 10, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5b', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, -10, 1, 1, 1, 1, 1, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001343
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1g', 'multiplicity': 40, 'nt': [55, 0], 'qdim': 40, 'qvalues': [40, 40, -10, -10, -10, -10, -10, -10, -10, -10, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4001344
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.1h', 'multiplicity': 40, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, -40, -10, -10, -10, -10, 10, 10, 10, 10, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, -40, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4001310
{'cdim': 5, 'counter': 11, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5c', 'multiplicity': 10, 'nt': [55, 0], 'qdim': 50, 'qvalues': [50, 50, 0, 0, 0, 0, 0, 0, 0, 0, 50, 50, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, 6, 6, -5, -5, 6, 6, 6, -5, 6, 6, -5, -5, -5, -5, -5, -5, 6, 50, 50, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, 6, 6, -5, 6, 6, 6, 6, -5, 6, -5, -5, -5, -5, -5, -5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001311
{'cdim': 5, 'counter': 12, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5d', 'multiplicity': 10, 'nt': [55, 0], 'qdim': 50, 'qvalues': [50, 50, 0, 0, 0, 0, 0, 0, 0, 0, 50, 50, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, -5, -5, -5, -5, 6, 6, -5, -5, -5, 6, -5, -5, 6, 6, 6, 6, 6, 6, -5, 50, 50, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, -5, -5, -5, -5, 6, -5, -5, -5, -5, 6, -5, 6, 6, 6, 6, 6, 6, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001312
{'cdim': 5, 'counter': 13, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5e', 'multiplicity': 10, 'nt': [110, 0], 'qdim': 50, 'qvalues': [50, -50, 0, 0, 0, 0, 0, 0, 0, 0, 50, 50, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, 6, 6, -5, -5, 6, 6, 6, -5, 6, 6, -5, -5, -5, -5, -5, -5, 6, -50, -50, 5, 5, 5, 5, 5, 5, 5, 5, -50, 5, 5, 5, 5, 5, -50, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -6, -6, -6, -6, 5, -6, -6, -6, -6, 5, -6, 5, 5, 5, 5, 5, 5, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001313
{'cdim': 5, 'counter': 14, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.5f', 'multiplicity': 10, 'nt': [110, 0], 'qdim': 50, 'qvalues': [50, -50, 0, 0, 0, 0, 0, 0, 0, 0, 50, 50, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, -5, -5, -5, -5, 6, 6, -5, -5, -5, 6, -5, -5, 6, 6, 6, 6, 6, 6, -5, -50, -50, 5, 5, 5, 5, 5, 5, 5, 5, -50, 5, 5, 5, 5, 5, -50, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, -6, -6, 5, 5, 5, 5, -6, 5, 5, 5, 5, -6, 5, -6, -6, -6, -6, -6, -6, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001314
{'cdim': 55, 'counter': 15, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55a', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, -11, -11, -11, 11, -11, 0, 11, -11, 11, 11, 11, 11, 0, 11, -11, 11, -11, -11, 11, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, -11, 11, 11, 11, 11, -11, 0, -11, 11, -11, 11, 0, 0, 11, -11, 11, -11, 0, 11, -11, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001315
{'cdim': 55, 'counter': 16, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55b', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, 11, -11, 0, -11, -11, 0, -11, 11, -11, -11, 11, 11, 11, -11, 11, -11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 11, -11, 11, -11, -11, 11, 0, -11, -11, 0, -11, 11, 0, 11, 0, 11, 11, 11, -11, 11, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001316
{'cdim': 55, 'counter': 17, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55c', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 0, 11, 0, 11, 11, -11, 0, -11, -11, 11, 11, -11, -11, 11, 11, 11, -11, 11, -11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, -11, 11, -11, 11, 11, 11, 0, 0, -11, 11, -11, 11, 0, -11, 11, -11, -11, 11, 11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001317
{'cdim': 55, 'counter': 18, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55d', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, -11, 11, 11, -11, -11, 0, 0, 11, 11, -11, -11, -11, -11, 11, -11, 0, 11, 11, 11, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 11, 11, -11, -11, 11, -11, 0, 11, 0, 11, 0, -11, 0, -11, 11, 11, 11, -11, -11, -11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001318
{'cdim': 55, 'counter': 19, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55e', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, 11, 11, -11, 11, -11, 0, 11, 11, -11, 11, 0, 0, -11, -11, 11, 11, -11, 11, -11, 0, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, 11, -11, 0, 11, -11, 11, 0, 11, 11, -11, 11, -11, 0, 0, -11, -11, 11, -11, 11, 11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001320
{'cdim': 55, 'counter': 20, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55f', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 0, 11, -11, 11, 11, -11, 0, 0, 11, -11, -11, -11, 11, 11, 11, -11, -11, 11, 11, -11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 0, -11, -11, 11, -11, -11, -11, 0, 11, 11, 11, 11, 11, 0, 11, 11, -11, -11, 11, -11, -11, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001321
{'cdim': 55, 'counter': 21, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55g', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, -11, -11, 11, 11, 11, 0, -11, 11, 0, 11, 11, 11, -11, 0, -11, -11, 11, 11, -11, 0, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, 11, 0, 11, 11, 0, -11, 0, -11, -11, 11, -11, -11, 0, 11, 11, -11, 11, -11, 11, -11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001322
{'cdim': 55, 'counter': 22, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55h', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 0, -11, -11, -11, 11, 0, 11, 11, 11, -11, -11, -11, 11, 11, 0, 11, -11, 11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, 11, 11, -11, -11, 11, 0, 0, -11, 11, -11, 11, 11, 0, -11, -11, -11, 11, 11, -11, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001323
{'cdim': 55, 'counter': 23, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55i', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 11, -11, 11, 0, 11, 0, 11, -11, -11, 0, -11, -11, -11, -11, 11, 11, 11, -11, 11, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, -11, -11, -11, 0, -11, 11, 0, -11, 11, 11, 11, -11, 0, -11, 11, 11, -11, -11, 0, 11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001324
{'cdim': 55, 'counter': 24, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55j', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, -11, 11, -11, 11, 11, 0, -11, 0, -11, 11, -11, -11, 11, -11, -11, -11, -11, 0, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, 0, -11, -11, 11, -11, -11, 0, 11, -11, -11, -11, 11, 0, -11, -11, 11, 0, 11, 11, -11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001325
{'cdim': 55, 'counter': 25, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55k', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, 11, 11, -11, -11, 11, 0, -11, -11, 11, -11, 11, 11, -11, 11, 11, -11, -11, -11, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 0, 11, -11, 11, 11, -11, 11, 11, 0, 11, -11, -11, -11, -11, 0, 11, -11, 0, -11, -11, -11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001326
{'cdim': 55, 'counter': 26, 'faithful': False, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55l', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 0, 0, 0, 110, 110, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, 110, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001327
{'cdim': 55, 'counter': 27, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55m', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, -11, -11, -11, 11, -11, 0, 11, -11, 11, 11, 11, 11, 0, 11, -11, 11, -11, -11, 11, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, -11, 11, 11, -11, -11, -11, -11, 11, 0, 11, -11, 11, -11, 0, 0, -11, 11, -11, 11, 0, -11, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001328
{'cdim': 55, 'counter': 28, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55n', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, -11, 11, -11, 0, -11, -11, 0, -11, 11, -11, -11, 11, 11, 11, -11, 11, -11, 0, 11, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, -11, 11, -11, 11, -11, 11, 11, -11, 0, 11, 11, 0, 11, -11, 0, -11, 0, -11, -11, -11, 11, -11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001329
{'cdim': 55, 'counter': 29, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55o', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 0, 11, 0, 11, 11, -11, 0, -11, -11, 11, 11, -11, -11, 11, 11, 11, -11, 11, -11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, 11, 11, -11, 11, -11, -11, -11, 0, 0, 11, -11, 11, -11, 0, 11, -11, 11, 11, -11, -11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001331
{'cdim': 55, 'counter': 30, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55p', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, -11, 11, 11, -11, -11, 0, 0, 11, 11, -11, -11, -11, -11, 11, -11, 0, 11, 11, 11, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, -11, 11, -11, -11, 11, 11, -11, 11, 0, -11, 0, -11, 0, 11, 0, 11, -11, -11, -11, 11, 11, 11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001332
{'cdim': 55, 'counter': 31, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55q', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, 11, 11, -11, 11, -11, 0, 11, 11, -11, 11, 0, 0, -11, -11, 11, 11, -11, 11, -11, 0, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, 11, -11, 11, 0, -11, 11, -11, 0, -11, -11, 11, -11, 11, 0, 0, 11, 11, -11, 11, -11, -11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001333
{'cdim': 55, 'counter': 32, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55r', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 0, 11, -11, 11, 11, -11, 0, 0, 11, -11, -11, -11, 11, 11, 11, -11, -11, 11, 11, -11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, 0, 11, 11, -11, 11, 11, 11, 0, -11, -11, -11, -11, -11, 0, -11, -11, 11, 11, -11, 11, 11, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001334
{'cdim': 55, 'counter': 33, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55s', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, -11, -11, 11, 11, 11, 0, -11, 11, 0, 11, 11, 11, -11, 0, -11, -11, 11, 11, -11, 0, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, -11, -11, 0, -11, -11, 0, 11, 0, 11, 11, -11, 11, 11, 0, -11, -11, 11, -11, 11, -11, 11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001335
{'cdim': 55, 'counter': 34, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55t', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 0, -11, -11, -11, 11, 0, 11, 11, 11, -11, -11, -11, 11, 11, 0, 11, -11, 11, -11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 11, -11, -11, -11, 11, 11, -11, 0, 0, 11, -11, 11, -11, -11, 0, 11, 11, 11, -11, -11, 11, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001336
{'cdim': 55, 'counter': 35, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55u', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 11, -11, 11, 0, 11, 0, 11, -11, -11, 0, -11, -11, -11, -11, 11, 11, 11, -11, 11, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, -11, -11, 11, 11, 11, 0, 11, -11, 0, 11, -11, -11, -11, 11, 0, 11, -11, -11, 11, 11, 0, -11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001337
{'cdim': 55, 'counter': 36, 'faithful': True, 'group': '146410.q', 'group_order': 146410, 'image': None, 'label': '146410.q.55v', 'multiplicity': 2, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, -11, 11, -11, 11, 11, 0, -11, 0, -11, 11, -11, -11, 11, -11, -11, -11, -11, 0, 11, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, -11, -11, 0, 11, 11, -11, 11, 11, 0, -11, 11, 11, 11, -11, 0, 11, 11, -11, 0, -11, -11, 11, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4001338
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id: 4001339
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Hide schema
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id: 5675434
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id: 5675545
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id: 5675559
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id: 5675570
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id: 5675581
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id: 5675592
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id: 5675603
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id: 5675614
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id: 5675625
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id: 5675435
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id: 5675446
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id: 5675546
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id: 5675457
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id: 5675468
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 13, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.q.1e3', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, -3]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 4]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, 5]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, -4]]]}
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id: 5675479
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 14, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.q.1e4', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, 3]], [[1, 1]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -4]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 5]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -5]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, 4]]]}
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id: 5675490
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 15, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.q.1e5', 'nt': [11, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -5]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -5]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, -3]], [[1, 5]], [[1, -2]], [[1, 5]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, -3]], [[1, 4]], [[1, -3]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -3]]]}
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id: 5675501
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 16, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.q.1e6', 'nt': [11, 10], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 5]], [[1, -5]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 5]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, 3]], [[1, -5]], [[1, 2]], [[1, -5]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, 4]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 5]], [[1, -2]], [[1, 3]], [[1, -4]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 3]]]}
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id: 5675512
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id: 5675523
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id: 5675534
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id: 5675550
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id: 5675560
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id: 5675551
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id: 5675552
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id: 5675553
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id: 5675554
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id: 5675555
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id: 5675556
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id: 5675557
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id: 5675558
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id: 5675561
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id: 5675571
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id: 5675572
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id: 5675573
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id: 5675574
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id: 5675575
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id: 5675576
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id: 5675577
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id: 5675578
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id: 5675579
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id: 5675580
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id: 5675562
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id: 5675582
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id: 5675583
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id: 5675584
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id: 5675585
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id: 5675586
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id: 5675587
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id: 5675588
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id: 5675589
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id: 5675590
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id: 5675591
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id: 5675563
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id: 5675593
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id: 5675594
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id: 5675595
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id: 5675596
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id: 5675597
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id: 5675598
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id: 5675599
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id: 5675600
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id: 5675601
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id: 5675602
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id: 5675564
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id: 5675604
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id: 5675565
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id: 5675566
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id: 5675567
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id: 5675568
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id: 5675569
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id: 5675605
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id: 5675615
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 80, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h10', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[-1, -11]], [[-1, 11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, 25]], [[1, -10]], [[1, -5]], [[1, 10]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, -15]], [[1, -25]], [[1, 15]], [[1, 25]], [[1, -15]], [[1, -10]], [[1, 10]], [[1, 25]], [[1, -25]], [[1, -20]], [[1, -25]], [[1, 20]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -10]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, -5]], [[1, 5]], [[1, 15]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -20]], [[-1, 10]], [[-1, -5]], [[-1, -10]], [[-1, 5]], [[-1, 15]], [[-1, -15]], [[-1, 20]], [[-1, -25]], [[-1, 25]], [[-1, 15]], [[-1, 5]], [[-1, 20]], [[-1, -20]], [[-1, 15]], [[-1, -10]], [[-1, -25]], [[-1, -15]], [[-1, 25]], [[-1, -5]], [[-1, -25]], [[-1, 10]], [[-1, 10]], [[-1, -15]], [[-1, -5]], [[-1, -10]], [[-1, 25]], [[-1, 20]], [[-1, -20]], [[-1, 5]], [[1, 6]], [[1, 7]], [[1, 21]], [[1, -2]], [[1, 23]], [[1, -7]], [[1, -3]], [[1, -8]], [[1, -16]], [[1, -24]], [[1, -21]], [[1, -4]], [[1, -6]], [[1, 3]], [[1, 17]], [[1, -27]], [[1, 16]], [[1, -1]], [[1, 13]], [[1, -12]], [[1, 9]], [[1, -14]], [[1, 27]], [[1, -18]], [[1, -9]], [[1, -26]], [[1, -19]], [[1, -17]], [[1, 12]], [[1, 2]], [[1, 14]], [[1, -23]], [[1, 18]], [[1, 24]], [[1, 1]], [[1, -13]], [[1, 26]], [[1, 8]], [[1, 4]], [[1, 19]], [[-1, 21]], [[-1, -3]], [[-1, -12]], [[-1, -14]], [[-1, 16]], [[-1, -19]], [[-1, 7]], [[-1, 19]], [[-1, 8]], [[-1, 17]], [[-1, 13]], [[-1, -16]], [[-1, 14]], [[-1, 9]], [[-1, 18]], [[-1, -13]], [[-1, -9]], [[-1, -17]], [[-1, 24]], [[-1, -26]], [[-1, 12]], [[-1, 3]], [[-1, 26]], [[-1, -24]], [[-1, -2]], [[-1, -8]], [[-1, -21]], [[-1, -7]], [[-1, 2]], [[-1, -18]], [[-1, -27]], [[-1, -1]], [[-1, 27]], [[-1, 1]], [[-1, -4]], [[-1, 6]], [[-1, 23]], [[-1, -23]], [[-1, -6]], [[-1, 4]]]}
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id: 5675616
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 81, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h11', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[-1, 11]], [[-1, -11]], [[-1, -22]], [[-1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, 25]], [[1, -10]], [[1, -5]], [[1, 10]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, -15]], [[1, -25]], [[1, 15]], [[1, 25]], [[1, -15]], [[1, -10]], [[1, 10]], [[1, 25]], [[1, -25]], [[1, -20]], [[1, -25]], [[1, 20]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -10]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, -5]], [[1, 5]], [[1, 15]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -20]], [[-1, 10]], [[-1, -5]], [[-1, -10]], [[-1, 5]], [[-1, 15]], [[-1, -15]], [[-1, 20]], [[-1, -25]], [[-1, 25]], [[-1, 15]], [[-1, 5]], [[-1, 20]], [[-1, -20]], [[-1, 15]], [[-1, -10]], [[-1, -25]], [[-1, -15]], [[-1, 25]], [[-1, -5]], [[-1, -25]], [[-1, 10]], [[-1, 10]], [[-1, -15]], [[-1, -5]], [[-1, -10]], [[-1, 25]], [[-1, 20]], [[-1, -20]], [[-1, 5]], [[1, -16]], [[1, 18]], [[1, -1]], [[1, -13]], [[1, 12]], [[1, -18]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, 9]], [[1, 1]], [[1, -26]], [[1, 16]], [[1, -8]], [[1, -27]], [[1, 17]], [[1, -6]], [[1, 21]], [[1, 2]], [[1, -23]], [[1, -24]], [[1, 19]], [[1, -17]], [[1, -7]], [[1, 24]], [[1, -4]], [[1, 14]], [[1, 27]], [[1, 23]], [[1, 13]], [[1, -19]], [[1, -12]], [[1, 7]], [[1, -9]], [[1, -21]], [[1, -2]], [[1, 4]], [[1, -3]], [[1, 26]], [[1, -14]], [[-1, -1]], [[-1, 8]], [[-1, -23]], [[-1, 19]], [[-1, -6]], [[-1, 14]], [[-1, 18]], [[-1, -14]], [[-1, -3]], [[-1, -27]], [[-1, 2]], [[-1, 6]], [[-1, -19]], [[-1, -24]], [[-1, 7]], [[-1, -2]], [[-1, 24]], [[-1, 27]], [[-1, -9]], [[-1, -4]], [[-1, 23]], [[-1, -8]], [[-1, 4]], [[-1, 9]], [[-1, -13]], [[-1, 3]], [[-1, 1]], [[-1, -18]], [[-1, 13]], [[-1, -7]], [[-1, 17]], [[-1, 21]], [[-1, -17]], [[-1, -21]], [[-1, -26]], [[-1, -16]], [[-1, 12]], [[-1, -12]], [[-1, 16]], [[-1, 26]]]}
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id: 5675617
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 82, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h12', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[-1, -11]], [[-1, 11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, -25]], [[1, 10]], [[1, 5]], [[1, -10]], [[1, -5]], [[1, 20]], [[1, -20]], [[1, 15]], [[1, 25]], [[1, -15]], [[1, -25]], [[1, 15]], [[1, 10]], [[1, -10]], [[1, -25]], [[1, 25]], [[1, 20]], [[1, 25]], [[1, -20]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 10]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, 5]], [[1, -5]], [[1, -15]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 20]], [[-1, -10]], [[-1, 5]], [[-1, 10]], [[-1, -5]], [[-1, -15]], [[-1, 15]], [[-1, -20]], [[-1, 25]], [[-1, -25]], [[-1, -15]], [[-1, -5]], [[-1, -20]], [[-1, 20]], [[-1, -15]], [[-1, 10]], [[-1, 25]], [[-1, 15]], [[-1, -25]], [[-1, 5]], [[-1, 25]], [[-1, -10]], [[-1, -10]], [[-1, 15]], [[-1, 5]], [[-1, 10]], [[-1, -25]], [[-1, -20]], [[-1, 20]], [[-1, -5]], [[1, 16]], [[1, -18]], [[1, 1]], [[1, 13]], [[1, -12]], [[1, 18]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -9]], [[1, -1]], [[1, 26]], [[1, -16]], [[1, 8]], [[1, 27]], [[1, -17]], [[1, 6]], [[1, -21]], [[1, -2]], [[1, 23]], [[1, 24]], [[1, -19]], [[1, 17]], [[1, 7]], [[1, -24]], [[1, 4]], [[1, -14]], [[1, -27]], [[1, -23]], [[1, -13]], [[1, 19]], [[1, 12]], [[1, -7]], [[1, 9]], [[1, 21]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, -26]], [[1, 14]], [[-1, 1]], [[-1, -8]], [[-1, 23]], [[-1, -19]], [[-1, 6]], [[-1, -14]], [[-1, -18]], [[-1, 14]], [[-1, 3]], [[-1, 27]], [[-1, -2]], [[-1, -6]], [[-1, 19]], [[-1, 24]], [[-1, -7]], [[-1, 2]], [[-1, -24]], [[-1, -27]], [[-1, 9]], [[-1, 4]], [[-1, -23]], [[-1, 8]], [[-1, -4]], [[-1, -9]], [[-1, 13]], [[-1, -3]], [[-1, -1]], [[-1, 18]], [[-1, -13]], [[-1, 7]], [[-1, -17]], [[-1, -21]], [[-1, 17]], [[-1, 21]], [[-1, 26]], [[-1, 16]], [[-1, -12]], [[-1, 12]], [[-1, -16]], [[-1, -26]]]}
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id: 5675618
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 83, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h13', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[-1, 11]], [[-1, -11]], [[-1, -22]], [[-1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -15]], [[1, -25]], [[1, 15]], [[1, -5]], [[1, 5]], [[1, 10]], [[1, -20]], [[1, -10]], [[1, 20]], [[1, 10]], [[1, 25]], [[1, -25]], [[1, 20]], [[1, -20]], [[1, -5]], [[1, -20]], [[1, 5]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 25]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -15]], [[1, 15]], [[1, -10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -5]], [[-1, -25]], [[-1, -15]], [[-1, 25]], [[-1, 15]], [[-1, -10]], [[-1, 10]], [[-1, 5]], [[-1, -20]], [[-1, 20]], [[-1, -10]], [[-1, 15]], [[-1, 5]], [[-1, -5]], [[-1, -10]], [[-1, 25]], [[-1, -20]], [[-1, 10]], [[-1, 20]], [[-1, -15]], [[-1, -20]], [[-1, -25]], [[-1, -25]], [[-1, 10]], [[-1, -15]], [[-1, 25]], [[-1, 20]], [[-1, 5]], [[-1, -5]], [[-1, 15]], [[1, -26]], [[1, -12]], [[1, 19]], [[1, 27]], [[1, -8]], [[1, 12]], [[1, 13]], [[1, -2]], [[1, -4]], [[1, -6]], [[1, -19]], [[1, -1]], [[1, 26]], [[1, -13]], [[1, 18]], [[1, 7]], [[1, 4]], [[1, -14]], [[1, 17]], [[1, -3]], [[1, 16]], [[1, 24]], [[1, -7]], [[1, 23]], [[1, -16]], [[1, 21]], [[1, 9]], [[1, -18]], [[1, 3]], [[1, -27]], [[1, -24]], [[1, 8]], [[1, -23]], [[1, 6]], [[1, 14]], [[1, -17]], [[1, -21]], [[1, 2]], [[1, 1]], [[1, -9]], [[-1, 19]], [[-1, 13]], [[-1, -3]], [[-1, 24]], [[-1, 4]], [[-1, 9]], [[-1, -12]], [[-1, -9]], [[-1, 2]], [[-1, 18]], [[-1, 17]], [[-1, -4]], [[-1, -24]], [[-1, 16]], [[-1, -23]], [[-1, -17]], [[-1, -16]], [[-1, -18]], [[-1, 6]], [[-1, 21]], [[-1, 3]], [[-1, -13]], [[-1, -21]], [[-1, -6]], [[-1, 27]], [[-1, -2]], [[-1, -19]], [[-1, 12]], [[-1, -27]], [[-1, 23]], [[-1, 7]], [[-1, -14]], [[-1, -7]], [[-1, 14]], [[-1, -1]], [[-1, -26]], [[-1, -8]], [[-1, 8]], [[-1, 26]], [[-1, 1]]]}
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id: 5675619
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id: 5675620
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 85, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h15', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[-1, 11]], [[-1, -11]], [[-1, -22]], [[-1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 10]], [[1, -20]], [[1, -25]], [[1, 15]], [[1, 25]], [[1, -15]], [[1, 5]], [[1, -5]], [[1, -10]], [[1, 20]], [[1, 10]], [[1, -20]], [[1, -10]], [[1, -25]], [[1, 25]], [[1, -20]], [[1, 20]], [[1, 5]], [[1, 20]], [[1, -5]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -25]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 15]], [[1, -15]], [[1, 10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 5]], [[-1, 25]], [[-1, 15]], [[-1, -25]], [[-1, -15]], [[-1, 10]], [[-1, -10]], [[-1, -5]], [[-1, 20]], [[-1, -20]], [[-1, 10]], [[-1, -15]], [[-1, -5]], [[-1, 5]], [[-1, 10]], [[-1, -25]], [[-1, 20]], [[-1, -10]], [[-1, -20]], [[-1, 15]], [[-1, 20]], [[-1, 25]], [[-1, 25]], [[-1, -10]], [[-1, 15]], [[-1, -25]], [[-1, -20]], [[-1, -5]], [[-1, 5]], [[-1, -15]], [[1, 4]], [[1, 23]], [[1, 14]], [[1, 17]], [[1, -3]], [[1, -23]], [[1, -2]], [[1, 13]], [[1, 26]], [[1, -16]], [[1, -14]], [[1, -21]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, -18]], [[1, -26]], [[1, -19]], [[1, 27]], [[1, -8]], [[1, 6]], [[1, 9]], [[1, 18]], [[1, -12]], [[1, -6]], [[1, 1]], [[1, 24]], [[1, 7]], [[1, 8]], [[1, -17]], [[1, -9]], [[1, 3]], [[1, 12]], [[1, 16]], [[1, 19]], [[1, -27]], [[1, -1]], [[1, -13]], [[1, 21]], [[1, -24]], [[-1, 14]], [[-1, -2]], [[-1, -8]], [[-1, 9]], [[-1, -26]], [[-1, 24]], [[-1, 23]], [[-1, -24]], [[-1, -13]], [[-1, -7]], [[-1, 27]], [[-1, 26]], [[-1, -9]], [[-1, 6]], [[-1, 12]], [[-1, -27]], [[-1, -6]], [[-1, 7]], [[-1, 16]], [[-1, 1]], [[-1, 8]], [[-1, 2]], [[-1, -1]], [[-1, -16]], [[-1, 17]], [[-1, 13]], [[-1, -14]], [[-1, -23]], [[-1, -17]], [[-1, -12]], [[-1, -18]], [[-1, -19]], [[-1, 18]], [[-1, 19]], [[-1, -21]], [[-1, 4]], [[-1, -3]], [[-1, 3]], [[-1, -4]], [[-1, 21]]]}
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id: 5675621
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 86, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h16', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[-1, -11]], [[-1, 11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -15]], [[1, -25]], [[1, 15]], [[1, -5]], [[1, 5]], [[1, 10]], [[1, -20]], [[1, -10]], [[1, 20]], [[1, 10]], [[1, 25]], [[1, -25]], [[1, 20]], [[1, -20]], [[1, -5]], [[1, -20]], [[1, 5]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 25]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -15]], [[1, 15]], [[1, -10]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -5]], [[-1, -25]], [[-1, -15]], [[-1, 25]], [[-1, 15]], [[-1, -10]], [[-1, 10]], [[-1, 5]], [[-1, -20]], [[-1, 20]], [[-1, -10]], [[-1, 15]], [[-1, 5]], [[-1, -5]], [[-1, -10]], [[-1, 25]], [[-1, -20]], [[-1, 10]], [[-1, 20]], [[-1, -15]], [[-1, -20]], [[-1, -25]], [[-1, -25]], [[-1, 10]], [[-1, -15]], [[-1, 25]], [[-1, 20]], [[-1, 5]], [[-1, -5]], [[-1, 15]], [[1, -4]], [[1, -23]], [[1, -14]], [[1, -17]], [[1, 3]], [[1, 23]], [[1, 2]], [[1, -13]], [[1, -26]], [[1, 16]], [[1, 14]], [[1, 21]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, 18]], [[1, 26]], [[1, 19]], [[1, -27]], [[1, 8]], [[1, -6]], [[1, -9]], [[1, -18]], [[1, 12]], [[1, 6]], [[1, -1]], [[1, -24]], [[1, -7]], [[1, -8]], [[1, 17]], [[1, 9]], [[1, -3]], [[1, -12]], [[1, -16]], [[1, -19]], [[1, 27]], [[1, 1]], [[1, 13]], [[1, -21]], [[1, 24]], [[-1, -14]], [[-1, 2]], [[-1, 8]], [[-1, -9]], [[-1, 26]], [[-1, -24]], [[-1, -23]], [[-1, 24]], [[-1, 13]], [[-1, 7]], [[-1, -27]], [[-1, -26]], [[-1, 9]], [[-1, -6]], [[-1, -12]], [[-1, 27]], [[-1, 6]], [[-1, -7]], [[-1, -16]], [[-1, -1]], [[-1, -8]], [[-1, -2]], [[-1, 1]], [[-1, 16]], [[-1, -17]], [[-1, -13]], [[-1, 14]], [[-1, 23]], [[-1, 17]], [[-1, 12]], [[-1, 18]], [[-1, 19]], [[-1, -18]], [[-1, -19]], [[-1, 21]], [[-1, -4]], [[-1, 3]], [[-1, -3]], [[-1, 4]], [[-1, -21]]]}
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id: 5675622
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 87, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h17', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[-1, 11]], [[-1, -11]], [[-1, -22]], [[-1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 10]], [[1, -15]], [[1, 20]], [[1, 15]], [[1, -20]], [[1, 25]], [[1, -25]], [[1, 5]], [[1, -10]], [[1, -5]], [[1, 10]], [[1, 5]], [[1, -15]], [[1, 15]], [[1, 10]], [[1, -10]], [[1, 25]], [[1, -10]], [[1, -25]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -15]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, 20]], [[1, -20]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 25]], [[-1, 15]], [[-1, 20]], [[-1, -15]], [[-1, -20]], [[-1, -5]], [[-1, 5]], [[-1, -25]], [[-1, -10]], [[-1, 10]], [[-1, -5]], [[-1, -20]], [[-1, -25]], [[-1, 25]], [[-1, -5]], [[-1, -15]], [[-1, -10]], [[-1, 5]], [[-1, 10]], [[-1, 20]], [[-1, -10]], [[-1, 15]], [[-1, 15]], [[-1, 5]], [[-1, 20]], [[-1, -15]], [[-1, 10]], [[-1, -25]], [[-1, 25]], [[-1, -20]], [[1, 9]], [[1, -17]], [[1, 4]], [[1, -3]], [[1, 7]], [[1, 17]], [[1, 23]], [[1, -12]], [[1, -24]], [[1, 19]], [[1, -4]], [[1, -6]], [[1, -9]], [[1, -23]], [[1, -2]], [[1, -13]], [[1, 24]], [[1, 26]], [[1, -8]], [[1, -18]], [[1, -14]], [[1, -21]], [[1, 13]], [[1, -27]], [[1, 14]], [[1, 16]], [[1, -1]], [[1, 2]], [[1, 18]], [[1, 3]], [[1, 21]], [[1, -7]], [[1, 27]], [[1, -19]], [[1, -26]], [[1, 8]], [[1, -16]], [[1, 12]], [[1, 6]], [[1, 1]], [[-1, 4]], [[-1, 23]], [[-1, -18]], [[-1, -21]], [[-1, 24]], [[-1, -1]], [[-1, -17]], [[-1, 1]], [[-1, 12]], [[-1, -2]], [[-1, -8]], [[-1, -24]], [[-1, 21]], [[-1, -14]], [[-1, 27]], [[-1, 8]], [[-1, 14]], [[-1, 2]], [[-1, -19]], [[-1, 16]], [[-1, 18]], [[-1, -23]], [[-1, -16]], [[-1, 19]], [[-1, -3]], [[-1, -12]], [[-1, -4]], [[-1, 17]], [[-1, 3]], [[-1, -27]], [[-1, -13]], [[-1, 26]], [[-1, 13]], [[-1, -26]], [[-1, -6]], [[-1, 9]], [[-1, 7]], [[-1, -7]], [[-1, -9]], [[-1, 6]]]}
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id: 5675623
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 88, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h18', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[-1, -11]], [[-1, 11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -10]], [[1, 15]], [[1, -20]], [[1, -15]], [[1, 20]], [[1, -25]], [[1, 25]], [[1, -5]], [[1, 10]], [[1, 5]], [[1, -10]], [[1, -5]], [[1, 15]], [[1, -15]], [[1, -10]], [[1, 10]], [[1, -25]], [[1, 10]], [[1, 25]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 15]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, -20]], [[1, 20]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -25]], [[-1, -15]], [[-1, -20]], [[-1, 15]], [[-1, 20]], [[-1, 5]], [[-1, -5]], [[-1, 25]], [[-1, 10]], [[-1, -10]], [[-1, 5]], [[-1, 20]], [[-1, 25]], [[-1, -25]], [[-1, 5]], [[-1, 15]], [[-1, 10]], [[-1, -5]], [[-1, -10]], [[-1, -20]], [[-1, 10]], [[-1, -15]], [[-1, -15]], [[-1, -5]], [[-1, -20]], [[-1, 15]], [[-1, -10]], [[-1, 25]], [[-1, -25]], [[-1, 20]], [[1, -9]], [[1, 17]], [[1, -4]], [[1, 3]], [[1, -7]], [[1, -17]], [[1, -23]], [[1, 12]], [[1, 24]], [[1, -19]], [[1, 4]], [[1, 6]], [[1, 9]], [[1, 23]], [[1, 2]], [[1, 13]], [[1, -24]], [[1, -26]], [[1, 8]], [[1, 18]], [[1, 14]], [[1, 21]], [[1, -13]], [[1, 27]], [[1, -14]], [[1, -16]], [[1, 1]], [[1, -2]], [[1, -18]], [[1, -3]], [[1, -21]], [[1, 7]], [[1, -27]], [[1, 19]], [[1, 26]], [[1, -8]], [[1, 16]], [[1, -12]], [[1, -6]], [[1, -1]], [[-1, -4]], [[-1, -23]], [[-1, 18]], [[-1, 21]], [[-1, -24]], [[-1, 1]], [[-1, 17]], [[-1, -1]], [[-1, -12]], [[-1, 2]], [[-1, 8]], [[-1, 24]], [[-1, -21]], [[-1, 14]], [[-1, -27]], [[-1, -8]], [[-1, -14]], [[-1, -2]], [[-1, 19]], [[-1, -16]], [[-1, -18]], [[-1, 23]], [[-1, 16]], [[-1, -19]], [[-1, 3]], [[-1, 12]], [[-1, 4]], [[-1, -17]], [[-1, -3]], [[-1, 27]], [[-1, 13]], [[-1, -26]], [[-1, -13]], [[-1, 26]], [[-1, 6]], [[-1, -9]], [[-1, -7]], [[-1, 7]], [[-1, 9]], [[-1, -6]]]}
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id: 5675624
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id: 5675606
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id: 5675626
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id: 5675627
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 91, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h21', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[-1, -22]], [[-1, 22]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -25]], [[1, -5]], [[1, -20]], [[1, -10]], [[1, 20]], [[1, 10]], [[1, 15]], [[1, -15]], [[1, 25]], [[1, 5]], [[1, -25]], [[1, -5]], [[1, 25]], [[1, -20]], [[1, 20]], [[1, -5]], [[1, 5]], [[1, 15]], [[1, 5]], [[1, -15]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -20]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -10]], [[1, 10]], [[1, -25]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 15]], [[-1, 20]], [[-1, -10]], [[-1, -20]], [[-1, 10]], [[-1, -25]], [[-1, 25]], [[-1, -15]], [[-1, 5]], [[-1, -5]], [[-1, -25]], [[-1, 10]], [[-1, -15]], [[-1, 15]], [[-1, -25]], [[-1, -20]], [[-1, 5]], [[-1, 25]], [[-1, -5]], [[-1, -10]], [[-1, 5]], [[-1, 20]], [[-1, 20]], [[-1, 25]], [[-1, -10]], [[-1, -20]], [[-1, -5]], [[-1, -15]], [[-1, 15]], [[-1, 10]], [[1, 12]], [[1, 14]], [[1, -13]], [[1, -4]], [[1, -9]], [[1, -14]], [[1, -6]], [[1, -16]], [[1, 23]], [[1, 7]], [[1, 13]], [[1, -8]], [[1, -12]], [[1, 6]], [[1, -21]], [[1, 1]], [[1, -23]], [[1, -2]], [[1, 26]], [[1, -24]], [[1, 18]], [[1, 27]], [[1, -1]], [[1, 19]], [[1, -18]], [[1, 3]], [[1, 17]], [[1, 21]], [[1, 24]], [[1, 4]], [[1, -27]], [[1, 9]], [[1, -19]], [[1, -7]], [[1, 2]], [[1, -26]], [[1, -3]], [[1, 16]], [[1, 8]], [[1, -17]], [[-1, -13]], [[-1, -6]], [[-1, -24]], [[-1, 27]], [[-1, -23]], [[-1, 17]], [[-1, 14]], [[-1, -17]], [[-1, 16]], [[-1, -21]], [[-1, 26]], [[-1, 23]], [[-1, -27]], [[-1, 18]], [[-1, -19]], [[-1, -26]], [[-1, -18]], [[-1, 21]], [[-1, -7]], [[-1, 3]], [[-1, 24]], [[-1, 6]], [[-1, -3]], [[-1, 7]], [[-1, -4]], [[-1, -16]], [[-1, 13]], [[-1, -14]], [[-1, 4]], [[-1, 19]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -8]], [[-1, 12]], [[-1, -9]], [[-1, 9]], [[-1, -12]], [[-1, 8]]]}
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id: 5675628
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id: 5675629
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id: 5675630
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id: 5675631
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id: 5675632
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 96, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h26', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[-1, 22]], [[-1, -22]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 20]], [[1, 15]], [[1, 5]], [[1, -25]], [[1, -5]], [[1, 25]], [[1, 10]], [[1, -10]], [[1, -20]], [[1, -15]], [[1, 20]], [[1, 15]], [[1, -20]], [[1, 5]], [[1, -5]], [[1, 15]], [[1, -15]], [[1, 10]], [[1, -15]], [[1, -10]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 5]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, -25]], [[1, 25]], [[1, 20]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[-1, -5]], [[-1, -25]], [[-1, 5]], [[-1, 25]], [[-1, 20]], [[-1, -20]], [[-1, -10]], [[-1, -15]], [[-1, 15]], [[-1, 20]], [[-1, 25]], [[-1, -10]], [[-1, 10]], [[-1, 20]], [[-1, 5]], [[-1, -15]], [[-1, -20]], [[-1, 15]], [[-1, -25]], [[-1, -15]], [[-1, -5]], [[-1, -5]], [[-1, -20]], [[-1, -25]], [[-1, 5]], [[-1, 15]], [[-1, -10]], [[-1, 10]], [[-1, 25]], [[1, 8]], [[1, -9]], [[1, -27]], [[1, -21]], [[1, -6]], [[1, 9]], [[1, -4]], [[1, 26]], [[1, -3]], [[1, 23]], [[1, 27]], [[1, 13]], [[1, -8]], [[1, 4]], [[1, -14]], [[1, 19]], [[1, 3]], [[1, 17]], [[1, -1]], [[1, -16]], [[1, 12]], [[1, 18]], [[1, -19]], [[1, -24]], [[1, -12]], [[1, 2]], [[1, -7]], [[1, 14]], [[1, 16]], [[1, 21]], [[1, -18]], [[1, 6]], [[1, 24]], [[1, -23]], [[1, -17]], [[1, 1]], [[1, -2]], [[1, -26]], [[1, -13]], [[1, 7]], [[-1, -27]], [[-1, -4]], [[-1, -16]], [[-1, 18]], [[-1, 3]], [[-1, -7]], [[-1, -9]], [[-1, 7]], [[-1, -26]], [[-1, -14]], [[-1, -1]], [[-1, -3]], [[-1, -18]], [[-1, 12]], [[-1, 24]], [[-1, 1]], [[-1, -12]], [[-1, 14]], [[-1, -23]], [[-1, 2]], [[-1, 16]], [[-1, 4]], [[-1, -2]], [[-1, 23]], [[-1, -21]], [[-1, 26]], [[-1, 27]], [[-1, 9]], [[-1, 21]], [[-1, -24]], [[-1, 19]], [[-1, 17]], [[-1, -19]], [[-1, -17]], [[-1, 13]], [[-1, 8]], [[-1, -6]], [[-1, 6]], [[-1, -8]], [[-1, -13]]]}
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id: 5675633
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id: 5675634
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id: 5675635
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id: 5675607
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id: 5675436
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id: 5675437
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id: 5675438
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id: 5675439
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id: 5675440
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id: 5675441
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id: 5675442
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id: 5675443
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id: 5675444
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id: 5675445
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id: 5675608
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id: 5675447
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id: 5675609
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id: 5675610
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id: 5675611
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id: 5675612
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 78, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.q.1h8', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[-1, -11]], [[-1, 11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -20]], [[1, -15]], [[1, -5]], [[1, 25]], [[1, 5]], [[1, -25]], [[1, -10]], [[1, 10]], [[1, 20]], [[1, 15]], [[1, -20]], [[1, -15]], [[1, 20]], [[1, -5]], [[1, 5]], [[1, -15]], [[1, 15]], [[1, -10]], [[1, 15]], [[1, 10]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -5]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, 25]], [[1, -25]], [[1, -20]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -10]], [[-1, 5]], [[-1, 25]], [[-1, -5]], [[-1, -25]], [[-1, -20]], [[-1, 20]], [[-1, 10]], [[-1, 15]], [[-1, -15]], [[-1, -20]], [[-1, -25]], [[-1, 10]], [[-1, -10]], [[-1, -20]], [[-1, -5]], [[-1, 15]], [[-1, 20]], [[-1, -15]], [[-1, 25]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[-1, 20]], [[-1, 25]], [[-1, -5]], [[-1, -15]], [[-1, 10]], [[-1, -10]], [[-1, -25]], [[1, -19]], [[1, -13]], [[1, 16]], [[1, -12]], [[1, -27]], [[1, 13]], [[1, -18]], [[1, 7]], [[1, 14]], [[1, 21]], [[1, -16]], [[1, -24]], [[1, 19]], [[1, 18]], [[1, -8]], [[1, 3]], [[1, -14]], [[1, -6]], [[1, 23]], [[1, -17]], [[1, -1]], [[1, 26]], [[1, -3]], [[1, 2]], [[1, 1]], [[1, 9]], [[1, -4]], [[1, 8]], [[1, 17]], [[1, 12]], [[1, -26]], [[1, 27]], [[1, -2]], [[1, -21]], [[1, 6]], [[1, -23]], [[1, -9]], [[1, -7]], [[1, 24]], [[1, 4]], [[-1, 16]], [[-1, -18]], [[-1, -17]], [[-1, 26]], [[-1, -14]], [[-1, -4]], [[-1, -13]], [[-1, 4]], [[-1, -7]], [[-1, -8]], [[-1, 23]], [[-1, 14]], [[-1, -26]], [[-1, -1]], [[-1, -2]], [[-1, -23]], [[-1, 1]], [[-1, 8]], [[-1, -21]], [[-1, 9]], [[-1, 17]], [[-1, 18]], [[-1, -9]], [[-1, 21]], [[-1, -12]], [[-1, 7]], [[-1, -16]], [[-1, 13]], [[-1, 12]], [[-1, 2]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, -24]], [[-1, -19]], [[-1, -27]], [[-1, 27]], [[-1, 19]], [[-1, 24]]]}
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id: 5675613
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id: 5675448
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id: 5675449
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id: 5675450
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id: 5675451
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id: 5675452
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id: 5675462
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id: 5675453
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id: 5675454
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id: 5675455
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id: 5675456
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id: 5675458
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id: 5675459
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id: 5675460
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id: 5675461
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id: 5675463
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id: 5675473
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id: 5675464
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id: 5675465
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id: 5675466
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id: 5675467
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id: 5675469
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id: 5675470
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id: 5675471
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id: 5675472
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id: 5675474
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id: 5675484
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id: 5675475
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id: 5675476
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id: 5675477
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id: 5675478
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id: 5675480
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id: 5675481
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id: 5675482
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id: 5675483
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id: 5675485
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id: 5675495
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id: 5675486
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id: 5675487
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id: 5675488
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id: 5675489
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id: 5675491
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id: 5675492
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id: 5675493
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id: 5675494
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id: 5675496
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id: 5675497
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id: 5675498
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id: 5675499
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id: 5675500
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id: 5675502
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id: 5675503
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id: 5675504
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id: 5675505
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id: 5675506
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id: 5675507
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id: 5675508
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id: 5675509
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id: 5675510
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id: 5675511
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id: 5675513
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id: 5675514
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id: 5675515
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id: 5675516
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id: 5675517
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id: 5675518
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id: 5675519
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id: 5675520
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id: 5675521
{'center': '6655.a1', 'center_index': 6655, 'center_order': 22, 'counter': 178, 'cyclotomic_n': 11, 'dim': 55, 'faithful': False, 'field': [3, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '6655.23', 'image_order': 6655, 'indicator': 0, 'kernel': '6655.a1', 'kernel_order': 22, 'label': '146410.q.55l2', 'nt': [121, 2], 'q_character': None, 'values': [[[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0], [-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0], [-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5675522
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id: 5675524
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id: 5675525
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id: 5675526
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id: 5675527
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id: 5675528
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id: 5675529
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id: 5675530
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id: 5675531
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id: 5675532
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id: 5675533
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id: 5675535
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id: 5675536
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id: 5675537
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id: 5675538
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id: 5675539
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id: 5675540
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id: 5675541
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id: 5675542
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id: 5675543
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id: 5675544
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id: 5675547
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id: 5675548
{'center': '6655.a1', 'center_index': 6655, 'center_order': 22, 'counter': 201, 'cyclotomic_n': 11, 'dim': 55, 'faithful': False, 'field': [3, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '13310.bt', 'image_order': 13310, 'indicator': 0, 'kernel': '13310.a1', 'kernel_order': 11, 'label': '146410.q.55x1', 'nt': [242, 0], 'q_character': None, 'values': [[[55, 0]], [[-55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0], [-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[-55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0], [11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5675549
{'center': '6655.a1', 'center_index': 6655, 'center_order': 22, 'counter': 202, 'cyclotomic_n': 11, 'dim': 55, 'faithful': False, 'field': [3, -1, 1], 'group': '146410.q', 'group_counter': 17, 'group_order': 146410, 'image': None, 'image_isoclass': '13310.bt', 'image_order': 13310, 'indicator': 0, 'kernel': '13310.a1', 'kernel_order': 11, 'label': '146410.q.55x2', 'nt': [242, 2], 'q_character': None, 'values': [[[55, 0]], [[-55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0], [-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[-55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0], [11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 61899823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 146410, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '146410.q.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '146410.q', 'subgroup_hash': 1390524005171205627, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
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id: 61899834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': True, 'centralizer_order': 2, 'characteristic': True, 'core_order': 73205, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 55, 'label': '146410.q.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '73205.h', 'subgroup_hash': 2062898170576824880, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 61899845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 29282, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '146410.q.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': ['F', 'F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '29282.l', 'subgroup_hash': 7263890197984197094, 'subgroup_order': 29282, 'subgroup_tex': 'C_{11}^3:C_{22}', 'supersolvable': True, 'sylow': 0}
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id: 61899856
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 14641, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '146410.q.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14641.7', 'subgroup_hash': 7, 'subgroup_order': 14641, 'subgroup_tex': 'C_{11}^3:C_{11}', 'supersolvable': True, 'sylow': 11}
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id: 61899867
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 13310, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.11.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '11.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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}
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id: 61899873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2662, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.11.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '13310.bt', 'subgroup_hash': 120410468062978314, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
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id: 61899874
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 6655, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.22.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '22.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '22.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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}
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id: 61899875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1331, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.22.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, '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': '6655.23', 'subgroup_hash': 23, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 61899876
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 2662, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.55.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '55.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '55.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{55}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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}
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id: 61899824
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 2662, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.55.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '55.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '55.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662.4', 'subgroup_hash': 4, 'subgroup_order': 2662, 'subgroup_tex': 'C_2\\times \\He_{11}', 'supersolvable': True, 'sylow': 0}
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id: 61899825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.55.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, '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': '2662.4', 'subgroup_hash': 4, 'subgroup_order': 2662, 'subgroup_tex': 'C_2\\times \\He_{11}', 'supersolvable': True, 'sylow': 0}
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id: 61899826
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 1331, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.110.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.6', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3', 'D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': 5, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 0}
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id: 61899827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': True, 'core_order': 1331, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.110.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 121, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.110.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, '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': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899829
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 22, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.121.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.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': 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': '1210.18', 'subgroup_hash': 18, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 61899830
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 22, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.121.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1210.19', 'subgroup_hash': 19, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899831
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.121.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1210.19', 'subgroup_hash': 19, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899832
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.121.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1210.19', 'subgroup_hash': 19, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899833
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 11, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.242.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.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': 242, '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': '605.3', 'subgroup_hash': 3, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 61899835
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 11, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.242.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899836
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 121, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.242.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899837
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.242.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899838
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 242, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.605.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '605.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '605.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 605, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{55}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 61899839
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 22, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.605.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899840
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 22, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.605.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899841
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 22, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.605.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899842
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 2, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.605.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899843
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': True, 'core_order': 121, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.q.1210.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1210.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1210.18', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1210, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{110}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C4', 'Phi', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 61899844
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 11, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1210.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 61899846
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 11, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1210.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 61899847
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 11, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1210.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 61899848
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1210.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 61899849
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 2, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.1331.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1331.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': 1331, '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': '110.6', 'subgroup_hash': 6, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 61899850
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 22, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1331.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899851
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1331.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899852
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.1331.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 61899853
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.2662.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2662.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': 2662, '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': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 61899854
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 11, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.2662.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899855
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.2662.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899857
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.q.2662.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 61899858
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 29282, 'characteristic': True, 'core_order': 22, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '146410.q.6655.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6655.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6655.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6655, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_{55}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899859
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 2, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.6655.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899860
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 2, 'counter': 43, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.6655.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899861
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1210, 'characteristic': False, 'core_order': 2, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.6655.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899862
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 2, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.6655.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 61899863
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 29282, 'characteristic': True, 'core_order': 11, 'counter': 46, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '146410.q.13310.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '13310.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '13310.bt', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 120410468062978314, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 13310, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_{110}', 'simple': True, 'solvable': True, 'special_labels': ['C5', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899864
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.13310.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899865
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 2662, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.13310.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899866
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1210, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.13310.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 61899868
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 242, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.q.13310.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 61899869
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 10, 'label': '146410.q.14641.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14641.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': 14641, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 61899870
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '146410.q.29282.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29282.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': 29282, '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': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 61899871
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': True, 'central_factor': False, 'centralizer_order': 146410, 'characteristic': True, 'core_order': 2, 'counter': 53, 'cyclic': True, 'direct': True, 'hall': 2, 'label': '146410.q.73205.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '73205.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '73205.h', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2062898170576824880, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 73205, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^3:C_{55}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U0', 'Z', 'U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
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id: 61899872
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.q', 'ambient_counter': 17, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': True, 'central_factor': False, 'centralizer_order': 146410, 'characteristic': True, 'core_order': 1, 'counter': 54, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '146410.q.146410.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '146410.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '146410.q', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1390524005171205627, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 146410, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^3:C_{110}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C6', 'PC', 'U1', 'D2', 'C6'], '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: 61899829
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.b1'], 'contains': ['242.a1', '605.c1', '1331.a1', '1331.b1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9456, -1, 3474, -1], 'generators': [55, 10, 82390, 22], 'label': '146410.q.121.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '121.a1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
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id: 61899830
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '121.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1'], 'contains': ['242.b1', '605.b1', '1331.b1', '1331.c1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2266, -1, 6639, -1], 'generators': [55, 110, 41140, 22], 'label': '146410.q.121.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1', 'old_label': '121.b1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.b1', 'subgroup_fusion': None, 'weyl_group': '605.4'}
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id: 61899831
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '121.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1', '11.b1'], 'contains': ['242.c1', '605.a1', '1331.b1', '1331.d1'], 'core': '605.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5160, -1, 4904, -1], 'generators': [55, 26730, 27830, 22], 'label': '146410.q.121.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '121.c1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.c1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
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id: 61899832
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '121.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['11.a1'], 'contains': ['242.d1', '605.e1', '1331.c1', '1331.d1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [738, -1, 8359, -1], 'generators': [55, 79970, 81070, 22], 'label': '146410.q.121.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.d1', 'old_label': '121.d1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.d1', 'subgroup_fusion': None, 'weyl_group': '605.4'}
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id: 61899833
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.b1', '121.a1'], 'contains': ['1210.c1', '2662.a1', '2662.b1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8095, -1, 2649, -1], 'generators': [22, 82390, 10], 'label': '146410.q.242.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.a1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
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id: 61899823
{'ambient': '146410.q', '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': '73205.a1', 'complements': ['146410.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '5.a1', '11.a1', '11.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5944, 3075, 4029, 4066], 'generators': [55, 13310, 10, 110, 22, 67760], 'label': '146410.q.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '5.a1', '11.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '73205.h', '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': '73205.h'}
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id: 61899824
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '55.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': ['2662.c1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '11.b1'], 'contains': ['110.b1', '605.a1', '605.c1'], 'core': '55.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8247, 8660, 1958, 8662], 'generators': [55, 27830, 82390, 10], 'label': '146410.q.55.b1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '55.b1', 'normal_contained_in': ['5.a1'], 'normal_contains': ['110.b1', '605.a1'], 'normalizer': '1.a1', 'old_label': '55.b1', 'projective_image': '73205.h', 'quotient_action_image': '55.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '55.b1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
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id: 61899825
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '55.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['5.a1'], 'contains': ['110.c1', '605.a1', '605.d1'], 'core': '605.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [6499, -1, 1032, -1], 'generators': [55, 27830, 82390, 13320], 'label': '146410.q.55.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '55.c1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.c1', 'subgroup_fusion': None, 'weyl_group': '1331.3'}
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id: 61899826
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': ['1331.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '22.a1', '55.a1'], 'contains': ['1210.a1', '1210.b1', '1210.e1'], 'core': '110.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4108, 3667, 7226, 3298], 'generators': [110, 13310, 67760], 'label': '146410.q.110.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '110.a1', 'normal_contained_in': ['10.a1', '22.a1', '55.a1'], 'normal_contains': ['1210.a1'], 'normalizer': '1.a1', 'old_label': '110.a1', 'projective_image': '146410.q', 'quotient_action_image': '55.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '110.a1', 'subgroup_fusion': None, 'weyl_group': '55.2'}
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id: 61899827
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': ['1331.c1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '22.b1', '55.b1'], 'contains': ['1210.a1', '1210.c1'], 'core': '110.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7217, 6841, 2024, 4676], 'generators': [10, 27830], 'label': '146410.q.110.b1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.b1', 'normal_contained_in': ['10.a1', '55.b1'], 'normal_contains': ['1210.a1'], 'normalizer': '1.a1', 'old_label': '110.b1', 'projective_image': '146410.q', 'quotient_action_image': '55.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '110.b1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
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id: 61899828
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '110.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['10.a1', '55.c1'], 'contains': ['1210.a1', '1210.d1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [6243, -1, 899, -1], 'generators': [13320, 27830], 'label': '146410.q.110.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '110.c1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.c1', 'subgroup_fusion': None, 'weyl_group': '1331.3'}
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id: 61899834
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': ['73205.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '22.a1', '22.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5579, 1340, 4478, 1258], 'generators': [22, 110, 67760, 10, 13310], 'label': '146410.q.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '22.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '146410.q', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '73205.h'}
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id: 61899835
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '242.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1', '121.b1'], 'contains': ['1210.b1', '2662.b1', '2662.c1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3254, -1, 7714, -1], 'generators': [22, 41140, 110], 'label': '146410.q.242.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1', 'old_label': '242.b1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.b1', 'subgroup_fusion': None, 'weyl_group': '605.4'}
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id: 61899836
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '242.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1', '22.b1', '121.c1'], 'contains': ['1210.a1', '2662.b1', '2662.d1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4950, -1, 5236, -1], 'generators': [22, 27830, 26730], 'label': '146410.q.242.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '242.c1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.c1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
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id: 61899837
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['22.a1', '121.d1'], 'contains': ['1210.e1', '2662.c1', '2662.d1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [440, -1, 9761, -1], 'generators': [22, 121000, 110], 'label': '146410.q.242.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.d1', 'old_label': '242.d1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1', 'subgroup_fusion': None, 'weyl_group': '605.4'}
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id: 61899838
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['55.a1', '55.b1', '55.c1', '121.c1'], 'contains': ['1210.a1', '6655.a1', '6655.c1'], 'core': '605.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6076, 7137, 3833, 6583], 'generators': [55, 27830, 26730], 'label': '146410.q.605.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '605.a1', 'normal_contained_in': ['55.a1', '55.b1'], 'normal_contains': ['1210.a1', '6655.a1'], 'normalizer': '1.a1', 'old_label': '605.a1', 'projective_image': '73205.h', 'quotient_action_image': '55.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '605.a1', 'subgroup_fusion': None, 'weyl_group': '55.2'}
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id: 61899839
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '605.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1', '121.b1'], 'contains': ['1210.b1', '6655.a1', '6655.b1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3093, -1, 6639, -1], 'generators': [55, 41140, 110], 'label': '146410.q.605.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '605.b1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.b1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899840
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '605.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.b1', '121.a1'], 'contains': ['1210.c1', '6655.a1', '6655.d1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9456, -1, 1461, -1], 'generators': [55, 82390, 10], 'label': '146410.q.605.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '605.c1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.c1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899841
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '605.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['55.c1'], 'contains': ['1210.d1', '6655.a1', '6655.e1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [7865, -1, 336, -1], 'generators': [55, 82390, 26630], 'label': '146410.q.605.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.c1', 'old_label': '605.d1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.d1', 'subgroup_fusion': None, 'weyl_group': '11.1'}
-
id: 61899842
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '605.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['55.a1', '121.d1'], 'contains': ['1210.e1', '6655.b1', '6655.c1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1701, -1, 8359, -1], 'generators': [55, 121000, 110], 'label': '146410.q.605.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '605.e1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.e1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899843
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['110.a1', '110.b1', '110.c1', '242.c1', '605.a1'], 'contains': ['13310.a1', '13310.c1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5468, 5670, 4193, 4967], 'generators': [26730, 27830], 'label': '146410.q.1210.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '1210.a1', 'normal_contained_in': ['110.a1', '110.b1', '605.a1'], 'normal_contains': ['13310.a1'], 'normalizer': '1.a1', 'old_label': '1210.a1', 'projective_image': '146410.q', 'quotient_action_image': '55.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '1210.a1', 'subgroup_fusion': None, 'weyl_group': '55.2'}
-
id: 61899844
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1210.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.a1', '242.b1', '605.b1'], 'contains': ['13310.a1', '13310.b1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3684, -1, 6639, -1], 'generators': [110, 41140], 'label': '146410.q.1210.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1210.b1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.b1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899845
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': ['29282.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '55.a1', '55.b1', '55.c1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6285, 6149, 2614, 7099], 'generators': [55, 13310, 27830, 10, 82390], 'label': '146410.q.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '55.a1', '55.b1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '73205.h', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
-
id: 61899846
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1210.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.b1', '242.a1', '605.c1'], 'contains': ['13310.a1', '13310.d1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8462, -1, 2649, -1], 'generators': [10, 82390], 'label': '146410.q.1210.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '1210.c1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.c1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899847
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1210.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['110.c1', '605.d1'], 'contains': ['13310.a1', '13310.e1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [7436, -1, 1387, -1], 'generators': [26630, 82390], 'label': '146410.q.1210.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.c1', 'old_label': '1210.d1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.d1', 'subgroup_fusion': None, 'weyl_group': '11.1'}
-
id: 61899848
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1210.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['110.a1', '242.d1', '605.e1'], 'contains': ['13310.b1', '13310.c1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1293, -1, 7413, -1], 'generators': [93280, 94380], 'label': '146410.q.1210.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1210.e1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.e1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899849
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1331.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1'], 'contains': ['2662.a1', '6655.d1', '14641.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [9560, -1, 3271, -1], 'generators': [55, 10, 22], 'label': '146410.q.1331.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '1331.a1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 61899850
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1331.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1', '121.b1', '121.c1'], 'contains': ['2662.b1', '6655.a1', '14641.a1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5473, -1, 4584, -1], 'generators': [55, 82390, 22], 'label': '146410.q.1331.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1331.b1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.b1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899851
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1331.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['121.b1', '121.d1'], 'contains': ['2662.c1', '6655.b1', '14641.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 14641, 'diagramx': [460, -1, 9109, -1], 'generators': [55, 13420, 22], 'label': '146410.q.1331.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.c1', 'old_label': '1331.c1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.c1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899852
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '1331.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.c1', '121.d1'], 'contains': ['2662.d1', '6655.c1', '14641.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [2668, -1, 5889, -1], 'generators': [55, 12210, 22], 'label': '146410.q.1331.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.d1', 'old_label': '1331.d1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.d1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899853
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '2662.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.a1', '1331.a1'], 'contains': ['13310.d1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [8854, -1, 3408, -1], 'generators': [22, 10], 'label': '146410.q.2662.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '2662.a1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 61899854
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '2662.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.a1', '242.b1', '242.c1', '1331.b1'], 'contains': ['13310.a1', '29282.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5228, -1, 4638, -1], 'generators': [22, 82390], 'label': '146410.q.2662.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2662.b1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.b1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899855
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '2662.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['242.b1', '242.d1', '1331.c1'], 'contains': ['13310.b1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 14641, 'diagramx': [618, -1, 7859, -1], 'generators': [22, 98120], 'label': '146410.q.2662.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.c1', 'old_label': '2662.c1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.c1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899856
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1', 'complements': ['14641.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['110.a1', '110.b1', '110.c1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5553, 4725, 2716, 3298], 'generators': [10, 13310], 'label': '146410.q.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['110.a1', '110.b1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '146410.q', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
-
id: 61899857
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '2662.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.c1', '242.d1', '1331.d1'], 'contains': ['13310.c1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [1644, -1, 5795, -1], 'generators': [22, 12210], 'label': '146410.q.2662.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.d1', 'old_label': '2662.d1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.d1', 'subgroup_fusion': None, 'weyl_group': '55.1'}
-
id: 61899858
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '6655.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['605.a1', '605.b1', '605.c1', '605.d1', '1331.b1'], 'contains': ['13310.a1', '73205.a1'], 'core': '6655.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6479, 6785, 3806, 6424], 'generators': [55, 82390], 'label': '146410.q.6655.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '6655.a1', 'normal_contained_in': ['605.a1'], 'normal_contains': ['13310.a1', '73205.a1'], 'normalizer': '1.a1', 'old_label': '6655.a1', 'projective_image': '73205.h', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1331.3', 'quotient_action_kernel_order': 1331, 'quotient_fusion': None, 'short_label': '6655.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899859
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '6655.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['605.b1', '605.e1', '1331.c1'], 'contains': ['13310.b1', '73205.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2931, -1, 7026, -1], 'generators': [55, 119900], 'label': '146410.q.6655.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '6655.b1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.b1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899860
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '6655.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.a1', '605.e1', '1331.d1'], 'contains': ['13310.c1', '73205.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2470, -1, 5389, -1], 'generators': [55, 12210], 'label': '146410.q.6655.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '605.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '6655.c1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.c1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
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id: 61899861
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '6655.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.c1', '1331.a1'], 'contains': ['13310.d1', '73205.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9184, -1, 3064, -1], 'generators': [55, 10], 'label': '146410.q.6655.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '6655.d1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 61899862
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '6655.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['605.d1'], 'contains': ['13310.e1', '73205.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [8126, -1, 2020, -1], 'generators': [55, 13320], 'label': '146410.q.6655.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '605.d1', 'old_label': '6655.e1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 61899863
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '13310.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1210.a1', '1210.b1', '1210.c1', '1210.d1', '2662.b1', '6655.a1'], 'contains': ['146410.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6080, 5896, 4193, 5364], 'generators': [82390], 'label': '146410.q.13310.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '13310.a1', 'normal_contained_in': ['1210.a1', '6655.a1'], 'normal_contains': ['146410.a1'], 'normalizer': '1.a1', 'old_label': '13310.a1', 'projective_image': '146410.q', 'quotient_action_image': '5.1', 'quotient_action_kernel': '2662.4', 'quotient_action_kernel_order': 2662, 'quotient_fusion': None, 'short_label': '13310.a1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
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id: 61899864
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '13310.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['1210.b1', '1210.e1', '2662.c1', '6655.b1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2250, -1, 7026, -1], 'generators': [98120], 'label': '146410.q.13310.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '13310.b1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.b1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
-
id: 61899865
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '13310.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.a1', '1210.e1', '2662.d1', '6655.c1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1790, -1, 5389, -1], 'generators': [12210], 'label': '146410.q.13310.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1210.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '13310.c1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.c1', 'subgroup_fusion': None, 'weyl_group': '5.1'}
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id: 61899866
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '13310.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.c1', '2662.a1', '6655.d1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8755, -1, 3236, -1], 'generators': [10], 'label': '146410.q.13310.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '13310.d1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 61899867
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': ['13310.d1', '13310.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['22.a1', '55.a1', '121.b1', '121.c1', '121.d1'], 'core': '11.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3883, 2863, 6221, 4066], 'generators': [55, 110, 67760, 22, 13310], 'label': '146410.q.11.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['22.a1', '55.a1'], 'normalizer': '1.a1', 'old_label': '11.a1', 'projective_image': '73205.h', 'quotient_action_image': '11.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '11.a1', 'subgroup_fusion': None, 'weyl_group': '73205.h'}
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id: 61899868
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '13310.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1210.d1', '6655.e1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [7698, -1, 2020, -1], 'generators': [26630], 'label': '146410.q.13310.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '605.d1', 'old_label': '13310.e1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 61899869
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '14641.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1331.a1', '1331.b1', '1331.c1', '1331.d1'], 'contains': ['29282.a1', '73205.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [4538, -1, 5045, -1], 'generators': [55, 22], 'label': '146410.q.14641.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '14641.a1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14641.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 61899870
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '29282.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2662.a1', '2662.b1', '2662.c1', '2662.d1', '14641.a1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [4699, -1, 4978, -1], 'generators': [22], 'label': '146410.q.29282.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '29282.a1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29282.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 61899871
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '73205.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6655.a1', '6655.b1', '6655.c1', '6655.d1', '6655.e1', '14641.a1'], 'contains': ['146410.a1'], 'core': '73205.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5228, 6728, 4635, 6424], 'generators': [55], 'label': '146410.q.73205.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '73205.a1', 'normal_contained_in': ['6655.a1'], 'normal_contains': ['146410.a1'], 'normalizer': '1.a1', 'old_label': '73205.a1', 'projective_image': '73205.h', 'quotient_action_image': '1.1', 'quotient_action_kernel': '73205.h', 'quotient_action_kernel_order': 73205, 'quotient_fusion': None, 'short_label': '73205.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 61899872
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '146410.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['13310.a1', '13310.b1', '13310.c1', '13310.d1', '13310.e1', '29282.a1', '73205.a1'], 'contains': [], 'core': '146410.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5228, 6333, 4635, 5894], 'generators': [], 'label': '146410.q.146410.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '146410.a1', 'normal_contained_in': ['13310.a1', '73205.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '146410.a1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 61899873
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '11.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['22.b1', '55.b1', '121.a1', '121.c1'], 'core': '55.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [8289, -1, 3579, -1], 'generators': [55, 10, 26730, 22, 27830], 'label': '146410.q.11.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '11.b1', 'projective_image': '73205.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.b1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
-
id: 61899874
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': ['6655.d1', '6655.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '11.a1'], 'contains': ['110.a1', '242.b1', '242.c1', '242.d1'], 'core': '22.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3564, 2779, 7335, 1258], 'generators': [22, 67760, 13310, 110], 'label': '146410.q.22.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '22.a1', 'normal_contained_in': ['2.a1', '11.a1'], 'normal_contains': ['110.a1'], 'normalizer': '1.a1', 'old_label': '22.a1', 'projective_image': '146410.q', 'quotient_action_image': '11.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '22.a1', 'subgroup_fusion': None, 'weyl_group': '73205.h'}
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id: 61899875
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '73205.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '11.b1'], 'contains': ['110.b1', '242.a1', '242.c1'], 'core': '110.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [7133, -1, 4158, -1], 'generators': [22, 26730, 27830, 10], 'label': '146410.q.22.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '22.b1', 'projective_image': '146410.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1', 'subgroup_fusion': None, 'weyl_group': '6655.23'}
-
id: 61899876
{'ambient': '146410.q', 'aut_centralizer_order': None, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1', 'complements': ['2662.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '11.a1'], 'contains': ['110.a1', '605.a1', '605.b1', '605.e1'], 'core': '55.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4375, 5077, 5807, 5801], 'generators': [55, 67760, 13310, 110], 'label': '146410.q.55.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '55.a1', 'normal_contained_in': ['5.a1', '11.a1'], 'normal_contains': ['110.a1', '605.a1'], 'normalizer': '1.a1', 'old_label': '55.a1', 'projective_image': '73205.h', 'quotient_action_image': '55.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '55.a1', 'subgroup_fusion': None, 'weyl_group': '55.2'}
