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gps_subgroup_search • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '935336160.a', 'ambient_counter': 1, 'ambient_order': 935336160, 'ambient_tex': 'C_3^{10}.C_2.M_{11}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 59049, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '935336160.a.15840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '15840.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '15840.q', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 15840, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times M_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^{10}', 'supersolvable': True, 'sylow': 0}
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gps_subgroup_data • Show schema
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{'ambient': '935336160.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26978572725320426112240, 2555258657841792000, 9146650338356281619061473280148, 271362822238209809266939246774809600, 4865804016433194483, 17683942790150574557083656192144, 80643, 711374899737748, 43591204, 43545604], 'label': '935336160.a.15840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15840._.A', 'subgroup_fusion': None, 'weyl_group': None}
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label None does not appear in gps_groups
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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[1349359287099581475037078986092646986, 8411854050688479996015253781299468205], [1349359287099529766138508493727296826, 3794159221164173526983038166775217679], [534658193779781741380454211187466425, 2452866134638012039148528669985107132], [3267695442718167068788127972403160319, 2707764990041778819168694106201915999], [8411781418154088565646013077016679535, 2164380908148372866050686184517594636], [1638129022955361924117438318010726445, 534612400228407850364370758190842189], [6238655697860346415329658352773376491, 4082754323832438380857001845482585451], [2979082647718272481289416555518909835, 5712458110458062830078697523117722189], [4897409021373039088557100173284753401, 4082680446627649375250422246214593775], [1349359286292998550229320525424192681, 8411836367164492518922266837276901946], [1349359287099581475037078986092646986, 8411844904038141644599103971621013069], [1077996464861371670636320459374246986, 8683198579626013102449851563014328589], [1349359287099581475037078986092646986, 8411844904038116918894349691068590765], [823079929708155228711420370858087085, 8156928368884976909261852244787422746], [1349359287099529768449765575851687085, 8156936905758626039560868430108901946], [1077996464442517292879070240682087082, 8411836367552272770005541486797068201], [1349359287099581475037079079534246989, 8156946052408964388665761332099301802], [1349359287099554496465776508907529785, 8683198580432571296687051645782264345], [1349359287099554499019612323508281866, 8411854051076260251964332447252667469], [1349359287099554499019612323508327225, 8683207726276351453866001372692748105]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 935336160, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 13365, 1, 1], [2, 59049, 1, 1], [2, 120285, 1, 1], [3, 22, 1, 1], [3, 110, 1, 2], [3, 132, 1, 1], [3, 330, 1, 1], [3, 660, 1, 2], [3, 792, 1, 2], [3, 990, 1, 2], [3, 1320, 1, 2], [3, 1980, 1, 3], [3, 2640, 1, 2], [3, 3960, 1, 2], [3, 7920, 1, 4], [3, 320760, 1, 1], [3, 641520, 1, 1], [4, 721710, 1, 1], [4, 6495390, 1, 1], [5, 10392624, 1, 1], [6, 26730, 1, 1], [6, 80190, 1, 5], [6, 106920, 1, 3], [6, 160380, 1, 6], [6, 320760, 1, 15], [6, 641520, 1, 5], [6, 962280, 1, 2], [6, 1924560, 1, 1], [6, 2886840, 1, 2], [6, 8660520, 1, 2], [6, 17321040, 1, 1], [6, 25981560, 1, 1], [8, 6495390, 1, 4], [9, 641520, 1, 1], [9, 1283040, 1, 1], [9, 1924560, 1, 6], [9, 3849120, 1, 3], [10, 93533616, 1, 1], [11, 42515280, 1, 2], [12, 1443420, 1, 8], [12, 2886840, 1, 16], [12, 25981560, 1, 2], [15, 20785248, 1, 4], [18, 17321040, 1, 7], [22, 42515280, 1, 2], [24, 12990780, 1, 16]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 13365, 1], [2, 59049, 1], [2, 120285, 1], [3, 22, 1], [3, 110, 2], [3, 132, 1], [3, 330, 1], [3, 660, 2], [3, 792, 2], [3, 990, 2], [3, 1320, 2], [3, 1980, 3], [3, 2640, 2], [3, 3960, 2], [3, 7920, 4], [3, 320760, 1], [3, 641520, 1], [4, 721710, 1], [4, 6495390, 1], [5, 10392624, 1], [6, 26730, 1], [6, 80190, 5], [6, 106920, 3], [6, 160380, 6], [6, 320760, 15], [6, 641520, 5], [6, 962280, 2], [6, 1924560, 1], [6, 2886840, 2], [6, 8660520, 2], [6, 17321040, 1], [6, 25981560, 1], [8, 6495390, 4], [9, 641520, 1], [9, 1283040, 1], [9, 1924560, 6], [9, 3849120, 3], [10, 93533616, 1], [11, 42515280, 2], [12, 1443420, 8], [12, 2886840, 16], [12, 25981560, 2], [15, 20785248, 4], [18, 17321040, 7], [22, 42515280, 2], [24, 12990780, 16]], 'center_label': '1.1', 'center_order': None, 'central_product': False, 'central_quotient': '935336160.a', 'commutator_count': 1, 'commutator_label': '467668080.a', 'complements_known': False, 'complete': True, 'complex_characters_known': False, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '7920.a'], 'composition_length': 12, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 13365, 1, 1], [2, 59049, 1, 1], [2, 120285, 1, 1], [3, 22, 1, 1], [3, 110, 1, 2], [3, 132, 1, 1], [3, 330, 1, 1], [3, 660, 1, 2], [3, 792, 1, 2], [3, 990, 1, 2], [3, 1320, 1, 2], [3, 1980, 1, 3], [3, 2640, 1, 2], [3, 3960, 1, 2], [3, 7920, 1, 4], [3, 320760, 1, 1], [3, 641520, 1, 1], [4, 721710, 1, 1], [4, 6495390, 1, 1], [5, 10392624, 1, 1], [6, 26730, 1, 1], [6, 80190, 1, 5], [6, 106920, 1, 3], [6, 160380, 1, 6], [6, 320760, 1, 15], [6, 641520, 1, 5], [6, 962280, 1, 2], [6, 1924560, 1, 1], [6, 2886840, 1, 2], [6, 8660520, 1, 2], [6, 17321040, 1, 1], [6, 25981560, 1, 1], [8, 6495390, 2, 2], [9, 641520, 1, 1], [9, 1283040, 1, 1], [9, 1924560, 1, 4], [9, 1924560, 2, 1], [9, 3849120, 1, 3], [10, 93533616, 1, 1], [11, 42515280, 2, 1], [12, 1443420, 1, 6], [12, 1443420, 2, 1], [12, 2886840, 1, 8], [12, 2886840, 2, 4], [12, 25981560, 1, 2], [15, 20785248, 1, 4], [18, 17321040, 1, 5], [18, 17321040, 2, 1], [22, 42515280, 2, 1], [24, 12990780, 2, 6], [24, 12990780, 4, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 3960, 'exponents_of_order': [12, 5, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': [[22, 1, 2], [110, 1, 8], [132, 1, 2], [198, 1, 2], [220, 0, 6], [220, 1, 3], [330, 1, 2], [352, 1, 1], [528, 1, 2], [660, 0, 2], [660, 1, 7], [792, 0, 4], [792, 1, 5], [880, 1, 4], [990, 1, 10], [1320, 1, 11], [1980, 0, 10], [1980, 1, 16], [2640, 0, 4], [2640, 1, 8], [3168, 1, 2], [3960, 0, 4], [3960, 1, 6], [5280, 1, 1], [7920, 1, 8]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '935336160.a', 'hash': 4800531160999436525, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'C_3^{10}.C_2.M_{11}', 'inner_used': None, 'irrC_degree': 22, 'irrQ_degree': 22, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 2], [10, 6], [11, 2], [16, 4], [22, 2], [44, 2], [45, 2], [55, 2], [110, 8], [132, 2], [198, 2], [220, 9], [330, 2], [352, 1], [528, 2], [660, 9], [792, 9], [880, 4], [990, 10], [1320, 11], [1980, 26], [2640, 12], [3168, 2], [3960, 10], [5280, 1], [7920, 8]], 'label': '935336160.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C3^10.C2.M11', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 150, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 150, 'number_divisions': 130, 'number_normal_subgroups': 5, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 935336160, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 192699], [3, 1021328], [4, 7217100], [5, 10392624], [6, 79976160], [8, 25981560], [9, 25019280], [10, 93533616], [11, 85030560], [12, 109699920], [15, 83140992], [18, 121247280], [22, 85030560], [24, 207852480]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '1.1', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 1, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_1', 'pc_rank': None, 'perfect': False, 'permutation_degree': 33, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 2], [10, 2], [11, 2], [20, 2], [22, 2], [32, 2], [44, 2], [45, 2], [55, 2], [110, 8], [132, 2], [198, 2], [220, 3], [330, 2], [352, 1], [440, 3], [528, 2], [660, 7], [792, 5], [880, 4], [990, 10], [1320, 12], [1584, 2], [1980, 16], [2640, 8], [3168, 2], [3960, 9], [5280, 3], [7920, 11]], 'representations': {'Perm': {'d': 33, 'gens': [1349359287099581475037078986092646986, 8411854050688479996015253781299468205]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 11664, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_3^{10}.C_2.M_{11}', 'transitive_degree': 33, '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': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 0, 'aut_exponent': 1320, 'aut_gen_orders': [11, 5, 4], 'aut_gens': [[487127904, 1046351545], [340072008, 4112779255], [261497160, 2737270831], [1522120728, 4451102689]], 'aut_group': '7920.a', 'aut_hash': 3986485404724135366, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7920, 'aut_permdeg': 165, 'aut_perms': [47907267265481101173971549131888055024170340835276204336620451611739360841579006112653262080552815204272619187295379055451158685508512858668699319091564993972770582068119488084100172746282288487961469192940998529314010267016800647142452742566187967368099082404696019935100129094498029468492873627, 48158751562725333351363769146438536282587738777483267801417619937264176889077831424375438477704235650918907367418575536960185709123835668006147095304827012640919166207187393411462519491268281239514017559803859625458531921114524159698583306919194175304195821142288771979200604681416988347185789895, 42260074587349889336386068922998332105058046044980170769717583796681836057761873331767813969192665436114016968793016683371430918116917685520291904376257469210570026627100743268344407053657177692528716523498845640016550904045831050849674263296458388165412655609328422544323403831852435139424199380], 'aut_phi_ratio': 2.0625, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 165, 1, 2], [3, 440, 1, 1], [4, 990, 1, 2], [5, 1584, 1, 1], [6, 440, 1, 1], [6, 1320, 1, 2], [8, 990, 1, 4], [10, 1584, 1, 1], [11, 720, 1, 2], [22, 720, 1, 2]], 'aut_supersolvable': False, 'aut_tex': 'M_{11}', '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': 1320, 'autcentquo_group': '7920.a', 'autcentquo_hash': 3986485404724135366, 'autcentquo_nilpotent': False, 'autcentquo_order': 7920, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'M_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 165, 2], [3, 440, 1], [4, 990, 2], [5, 1584, 1], [6, 440, 1], [6, 1320, 2], [8, 990, 4], [10, 1584, 1], [11, 720, 2], [22, 720, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '7920.a', 'commutator_count': 1, 'commutator_label': '7920.a', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '7920.a'], 'composition_length': 2, 'conjugacy_classes_known': True, 'counter': 17, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['7920.a', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 165, 1, 2], [3, 440, 1, 1], [4, 990, 1, 2], [5, 1584, 1, 1], [6, 440, 1, 1], [6, 1320, 1, 2], [8, 990, 2, 2], [10, 1584, 1, 1], [11, 720, 2, 1], [22, 720, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 19434, 'exponent': 1320, 'exponents_of_order': [5, 2, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 5, 11], 'faithful_reps': [[10, 0, 2], [10, 1, 1], [11, 1, 1], [16, 0, 2], [44, 1, 1], [45, 1, 1], [55, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '15840.q', 'hash': 8034936889538388295, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 1320, 'inner_gen_orders': [8, 5], 'inner_gens': [[487127904, 2582840449], [5001424686, 1046351545]], 'inner_hash': 3986485404724135366, 'inner_nilpotent': False, 'inner_order': 7920, 'inner_split': True, 'inner_tex': 'M_{11}', 'inner_used': [1, 2], 'irrC_degree': 10, 'irrQ_degree': 10, 'irrQ_dim': 10, 'irrR_degree': 10, 'irrep_stats': [[1, 2], [10, 6], [11, 2], [16, 4], [44, 2], [45, 2], [55, 2]], 'label': '15840.q', 'linC_count': 3, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 1, 'linQ_dim': 10, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2*M11', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 20, 'number_divisions': 16, 'number_normal_subgroups': 4, 'number_subgroup_autclasses': 114, 'number_subgroup_classes': 114, 'number_subgroups': 29116, 'old_label': None, 'order': 15840, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 331], [3, 440], [4, 1980], [5, 1584], [6, 3080], [8, 3960], [10, 1584], [11, 1440], [22, 1440]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 1, 'outer_gen_orders': [], 'outer_gen_pows': [], 'outer_gens': [], 'outer_group': '1.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 1, 'outer_permdeg': 1, 'outer_perms': [], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_1', 'pc_rank': None, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [10, 2], [11, 2], [20, 2], [32, 2], [44, 2], [45, 2], [55, 2]], 'representations': {'Perm': {'d': 13, 'gens': [487127904, 1046351545]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times M_{11}', 'transitive_degree': 22, 'wreath_data': None, 'wreath_product': False}
