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gps_subgroup_search • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1584.67', 'ambient_counter': 67, 'ambient_order': 1584, 'ambient_tex': 'D_{792}', 'central': False, 'central_factor': False, 'centralizer_order': 792, 'characteristic': True, 'core_order': 6, 'counter': 56, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1584.67.264.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '264.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '264.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 264, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{132}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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gps_subgroup_data • Show schema
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{'ambient': '1584.67', 'aut_centralizer_order': 95040, 'aut_label': '264.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 95040, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1', '132.b1.a1', '132.b1.b1'], 'contains': ['528.a1.a1', '792.a1.a1'], 'core': '264.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4342, 3950, 6427, 3124, 4345, 4232, 4382, 4232], 'generators': [792, 1056], 'label': '1584.67.264.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '264.a1.a1', 'normal_contained_in': ['24.a1.a1', '88.a1.a1', '132.a1.a1'], 'normal_contains': ['528.a1.a1', '792.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '264.a1.a1', 'projective_image': '792.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '132.4', 'quotient_action_kernel_order': 132, 'quotient_fusion': None, 'short_label': '264.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': True, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': True, 'aut_cyclic': True, 'aut_derived_length': 1, 'aut_exponent': 2, 'aut_gen_orders': [2], 'aut_gens': [[1], [5]], 'aut_group': '2.1', 'aut_hash': 1, 'aut_nilpotency_class': 1, 'aut_nilpotent': True, 'aut_order': 2, 'aut_permdeg': 2, 'aut_perms': [1], 'aut_phi_ratio': 1.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [6, 1, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [6, 1, 2]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1'], 'composition_length': 2, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': True, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [6, 1, 2, 1]], 'element_repr_type': 'PC', 'elementary': 6, 'eulerian_function': 1, 'exponent': 6, 'exponents_of_order': [1, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3], 'faithful_reps': [[1, 0, 2]], 'familial': True, 'frattini_label': '1.1', 'frattini_quotient': '6.2', 'hash': 2, 'hyperelementary': 6, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1], 'inner_gens': [[1]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': 1, 'irrQ_degree': 2, 'irrQ_dim': 2, 'irrR_degree': 2, 'irrep_stats': [[1, 6]], 'label': '6.2', 'linC_count': 2, 'linC_degree': 1, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 2, 'linQ_degree_count': 1, 'linQ_dim': 2, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 2, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C6', 'ngens': 2, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 4, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 6, 'number_divisions': 4, 'number_normal_subgroups': 4, 'number_subgroup_autclasses': 4, 'number_subgroup_classes': 4, 'number_subgroups': 4, 'old_label': None, 'order': 6, 'order_factorization_type': 11, 'order_stats': [[1, 1], [2, 1], [3, 2], [6, 2]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [0], 'outer_gens': [[5]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': 1, 'perfect': False, 'permutation_degree': 5, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 1, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 2]], 'representations': {'PC': {'code': 21, 'gens': [1], 'pres': [2, -2, -3, 4]}, 'GLZ': {'b': 3, 'd': 2, 'gens': [73]}, 'GLFp': {'d': 2, 'p': 3, 'gens': [31, 56]}, 'Perm': {'d': 5, 'gens': [24, 4]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 0, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6', 'transitive_degree': 6, 'wreath_data': None, 'wreath_product': False}
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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 3960, 'aut_gen_orders': [18, 120, 180, 30, 30, 18], 'aut_gens': [[1, 2], [1257, 746], [679, 1570], [53, 314], [793, 562], [325, 1270], [731, 878]], 'aut_group': None, 'aut_hash': 2750653646408301733, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 190080, 'aut_permdeg': 792, 'aut_perms': 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'aut_phi_ratio': 396.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 396, 2, 1], [3, 2, 1, 1], [4, 2, 1, 1], [6, 2, 1, 1], [8, 2, 2, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 2, 2, 1], [18, 2, 3, 1], [22, 2, 5, 1], [24, 2, 4, 1], [33, 2, 10, 1], [36, 2, 6, 1], [44, 2, 10, 1], [66, 2, 10, 1], [72, 2, 12, 1], [88, 2, 20, 1], [99, 2, 30, 1], [132, 2, 20, 1], [198, 2, 30, 1], [264, 2, 40, 1], [396, 2, 60, 1], [792, 2, 120, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{99}.C_{60}.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 1980, 'autcentquo_group': None, 'autcentquo_hash': 7697546556299087385, 'autcentquo_nilpotent': False, 'autcentquo_order': 47520, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{99}.C_{30}.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 396, 2], [3, 2, 1], [4, 2, 1], [6, 2, 1], [8, 2, 2], [9, 2, 3], [11, 2, 5], [12, 2, 2], [18, 2, 3], [22, 2, 5], [24, 2, 4], [33, 2, 10], [36, 2, 6], [44, 2, 10], [66, 2, 10], [72, 2, 12], [88, 2, 20], [99, 2, 30], [132, 2, 20], [198, 2, 30], [264, 2, 40], [396, 2, 60], [792, 2, 120]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '792.25', 'commutator_count': 1, 'commutator_label': '396.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 67, 'cyclic': False, 'derived_length': 2, 'dihedral': True, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 396, 1, 2], [3, 2, 1, 1], [4, 2, 1, 1], [6, 2, 1, 1], [8, 2, 2, 1], [9, 2, 3, 1], [11, 2, 5, 1], [12, 2, 2, 1], [18, 2, 3, 1], [22, 2, 5, 1], [24, 2, 4, 1], [33, 2, 10, 1], [36, 2, 6, 1], [44, 2, 10, 1], [66, 2, 10, 1], [72, 2, 12, 1], [88, 2, 20, 1], [99, 2, 30, 1], [132, 2, 20, 1], [198, 2, 30, 1], [264, 2, 40, 1], [396, 2, 60, 1], [792, 2, 120, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 792, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[2, 1, 120]], 'familial': True, 'frattini_label': '12.2', 'frattini_quotient': '132.9', 'hash': 67, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 396, 'inner_gen_orders': [2, 396], 'inner_gens': [[1, 1582], [5, 2]], 'inner_hash': 25, 'inner_nilpotent': False, 'inner_order': 792, 'inner_split': False, 'inner_tex': 'D_{396}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 240, 'irrQ_dim': 240, 'irrR_degree': 2, 'irrep_stats': [[1, 4], [2, 395]], 'label': '1584.67', 'linC_count': 120, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 4, 'linQ_dim': 20, 'linQ_dim_count': 4, 'linR_count': 120, 'linR_degree': 2, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'D792', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 25, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': 399, 'number_divisions': 26, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 66, 'number_subgroups': 2364, 'old_label': None, 'order': 1584, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 793], [3, 2], [4, 2], [6, 2], [8, 4], [9, 6], [11, 10], [12, 4], [18, 6], [22, 10], [24, 8], [33, 20], [36, 12], [44, 20], [66, 20], [72, 24], [88, 40], [99, 60], [132, 40], [198, 60], [264, 80], [396, 120], [792, 240]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 2, 2, 30], 'outer_gen_pows': [1408, 1408, 0, 330], 'outer_gens': [[1409, 1010], [1409, 398], [1, 218], [551, 1202]], 'outer_group': '240.208', 'outer_hash': 208, 'outer_nilpotent': True, 'outer_order': 240, 'outer_permdeg': 16, 'outer_perms': [40279680, 362880, 1307674368000, 6227026593], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_{30}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2], [12, 1], [20, 3], [24, 1], [40, 2], [60, 2], [80, 1], [120, 1], [240, 1]], 'representations': {'PC': {'code': 1202941996938997147046784599807845591982060000119, 'gens': [1, 2], 'pres': [7, -2, -2, -2, -2, -3, -3, -11, 22149, 36, 33182, 58, 44131, 80, 54884, 137, 64517, 166, 70566]}, 'Perm': {'d': 28, 'gens': [868708690480067649339017647, 7891827264921600, 13916445459840000, 21069517179110400, 12145280938112229701713920000, 4364893, 23454917710790789398855680000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{792}', 'transitive_degree': 792, 'wreath_data': None, 'wreath_product': False}
-
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 660, 'aut_gen_orders': [10, 10, 60, 60, 10], 'aut_gens': [[1, 2], [235, 230], [103, 206], [123, 122], [83, 74], [83, 166]], 'aut_group': None, 'aut_hash': 3017774860523347021, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5280, 'aut_permdeg': 132, 'aut_perms': [107193211887973241168378482912163273658269524712591141982834084325970826631611552469357529531259474232151949856425464430468385765383113043320309496393636203749373195653322154311184381593771559112418398809112195630946729448852, 35608989479681840833528056364627364557833736761934596187339699039667702731882345236997816371492523934549957629496001620703247559455187785066810753321569868182521532037262077066318847914712877259257924021008720288292729732259, 1869220984879501327835826382989393768231778799810077581113388551164236429216016368195590225735257656865881490429043533715690716973835797411288593209941244038126517364274093370955221760014544438751141190292518467357871544258, 66641386088763871708786201436381333547254227287915622422301580936596975810718255069625062171876257048203572960491787335368445811995072800355200833769358986008398014437211260548498443038977106761407556501178463987466246696018, 66220129147337597479542351775440745233128183465714563182568324061156825093355787971915145300474487287083697698452709944670218590049877516153620980438745529658139746534317412248313131120339105285965286620951800146456733349612], 'aut_phi_ratio': 66.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 66, 2, 1], [3, 2, 1, 1], [4, 2, 1, 1], [6, 2, 1, 1], [11, 2, 5, 1], [12, 2, 2, 1], [22, 2, 5, 1], [33, 2, 10, 1], [44, 2, 10, 1], [66, 2, 10, 1], [132, 2, 20, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{66}.C_{10}.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 330, 'autcentquo_group': '1320.142', 'autcentquo_hash': 142, 'autcentquo_nilpotent': False, 'autcentquo_order': 1320, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 66, 2], [3, 2, 1], [4, 2, 1], [6, 2, 1], [11, 2, 5], [12, 2, 2], [22, 2, 5], [33, 2, 10], [44, 2, 10], [66, 2, 10], [132, 2, 20]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '132.9', 'commutator_count': 1, 'commutator_label': '66.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 25, 'cyclic': False, 'derived_length': 2, 'dihedral': True, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 66, 1, 2], [3, 2, 1, 1], [4, 2, 1, 1], [6, 2, 1, 1], [11, 2, 5, 1], [12, 2, 2, 1], [22, 2, 5, 1], [33, 2, 10, 1], [44, 2, 10, 1], [66, 2, 10, 1], [132, 2, 20, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 132, 'exponents_of_order': [3, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[2, 1, 20]], 'familial': True, 'frattini_label': '2.1', 'frattini_quotient': '132.9', 'hash': 25, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 66, 'inner_gen_orders': [2, 66], 'inner_gens': [[1, 262], [5, 2]], 'inner_hash': 9, 'inner_nilpotent': False, 'inner_order': 132, 'inner_split': True, 'inner_tex': 'D_{66}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 2, 'irrep_stats': [[1, 4], [2, 65]], 'label': '264.25', 'linC_count': 20, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 6, 'linQ_dim': 14, 'linQ_dim_count': 6, 'linR_count': 20, 'linR_degree': 2, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'D132', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 13, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 69, 'number_divisions': 14, 'number_normal_subgroups': 15, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 32, 'number_subgroups': 348, 'old_label': None, 'order': 264, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 133], [3, 2], [4, 2], [6, 2], [11, 10], [12, 4], [22, 10], [33, 20], [44, 20], [66, 20], [132, 40]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 2, 10], 'outer_gen_pows': [44, 0, 22], 'outer_gens': [[177, 218], [1, 130], [243, 170]], 'outer_group': '40.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 40, 'outer_permdeg': 11, 'outer_perms': [720, 3628800, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{10}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 3], [4, 1], [10, 2], [20, 3], [40, 1]], 'representations': {'PC': {'code': 5036510429507474252600019, 'gens': [1, 2], 'pres': [5, -2, -2, -2, -3, -11, 2621, 26, 3902, 42, 5123, 78, 6004]}, 'GLFp': {'d': 2, 'p': 131, 'gens': [292251831, 108134915]}, 'Perm': {'d': 18, 'gens': [356995581833647, 712682530560000, 1110215538432000, 6706022400, 4364893]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{132}', 'transitive_degree': 132, 'wreath_data': None, 'wreath_product': False}
