Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [2, 6, 12, 12, 3, 3, 3, 3, 3, 3], 'aut_gens': [[24577758, 24507118, 1305911, 2939606, 36731395, 14159168], [43014227, 42578137, 1305911, 32864349, 36731395, 26018967], [32864349, 11296512, 4514243, 43014227, 11225629, 14201240], [43014227, 42578137, 41439590, 37043725, 14633333, 21377773], [11495158, 42803756, 5504967, 43014227, 11444201, 29044214], [24577758, 24507118, 31289712, 2939606, 36731395, 34559316], [24577758, 24507118, 9861463, 2939606, 36731395, 8261709], [24577758, 32793736, 1305911, 2939606, 32552046, 8188666], [24577758, 11444201, 1305911, 2939606, 3158825, 21271266], [24577758, 24507118, 1305911, 2939606, 36731395, 17072210], [24577758, 24507118, 1305911, 2939606, 36731395, 39300942]], 'aut_group': '629856.le', 'aut_hash': 4095539607023997171, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 629856, 'aut_permdeg': 99, 'aut_perms': [66552576316545305676588122180264224852539928887643423847572569612114416853791789016840753027518966525951262084408516545927091919930891130993657770161870, 114509784116640130390791828025368300770676563414994360087731633874451598011012685586820963115115899922325590636321910651119732408412697430337263060119938847, 301919057001927604551692287087506498878201227169687392859536337989850039274844222330427122339301873226369300793582980589467235891527721513038718173433970730, 658897209693887083221781733704608662856681298162662755402719878325668727850032937574691041968256561897299985039611492767088691662334209338972710589163663090, 430933403696484711511210104516611215061913843999013373724905329266779632925175805475824224812008646904256899466804826913012748875161576396457397901205268306, 688540607637666249858224333031360205313531372761581037298359384967844526814769419481141267979612296084794604767302557847080188348119029826862338952169789795, 13393631877966240740568162804237944635479714579738740631347359503550597412044020337235849805796500597435259556539252179530617226895487323647290975238765670, 758437307748169785768130976425925445954785574440810485479679877701322684201435030749633400587548374696544384011886833063672305592324402232573846627628370790, 13435760249547508828714082045883567944377983566699752521378590501136172868449349004914530102607800848762514203249346147292823706723580555504034008122362846, 758415549878511324383600685924115684583637722257147666496814724301386142308918694689376321079441303802452759473639259077217350215330207060450718113688125950], 'aut_phi_ratio': 3888.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 4, 1], [3, 6, 12, 1], [3, 9, 2, 1], [3, 18, 8, 1], [6, 81, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^5.(S_3\\times C_3^2:\\GL(2,3))', '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': 72, 'autcentquo_group': '629856.le', 'autcentquo_hash': 4095539607023997171, 'autcentquo_nilpotent': False, 'autcentquo_order': 629856, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.(S_3\\times C_3^2:\\GL(2,3))', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 4], [3, 6, 12], [3, 9, 2], [3, 18, 8], [6, 81, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.146', 'commutator_count': 1, 'commutator_label': '81.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 146, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 4], [3, 6, 1, 12], [3, 9, 2, 1], [3, 18, 2, 4], [6, 81, 2, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 91, 'exponent': 6, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.13', 'hash': 146, 'hyperelementary': 1, 'id': 129703, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 3, 3, 3, 3, 2], 'inner_gens': [[24577758, 24507118, 1305911, 2939606, 36731395, 8188666], [24577758, 24507118, 5504967, 2939606, 36731395, 8314856], [24577758, 20327769, 1305911, 2939606, 11537230, 39300942], [24577758, 24507118, 1305911, 2939606, 36731395, 39300942], [24577758, 24507118, 41439590, 2939606, 36731395, 17350487], [20201582, 20254942, 31289712, 32864349, 11225629, 14159168]], 'inner_hash': 146, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': False, 'inner_tex': 'C_3^4:C_6', 'inner_used': [1, 2, 3, 4, 5, 6], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 12], [6, 12]], 'label': '486.146', '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': 'C3^4:C6', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 7, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 30, 'number_divisions': 24, 'number_normal_subgroups': 31, 'number_subgroup_autclasses': 38, 'number_subgroup_classes': 258, 'number_subgroups': 3302, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 242], [6, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 36, 'outer_gen_orders': [2, 2, 3, 2, 2, 3, 3, 3], 'outer_gen_pows': [14408200, 14408200, 14408200, 14159168, 14159168, 14159168, 14408200, 14408200], 'outer_gens': [[24577758, 37116768, 4514243, 2939606, 7046280, 14159168], [20201582, 20327769, 8713299, 7138662, 14729278, 14159168], [24577758, 20327769, 5504967, 7138662, 32479219, 14159168], [37043725, 20479832, 5504967, 7138662, 32917739, 14159168], [43014227, 42578137, 35469088, 37043725, 32479219, 14159168], [20201582, 2992993, 31289712, 32864349, 42803756, 14159168], [24577758, 37169915, 1305911, 2939606, 20479832, 14159168], [24577758, 37169915, 1305911, 2939606, 7357854, 14159168]], 'outer_group': '1296.3490', 'outer_hash': 3490, 'outer_nilpotent': False, 'outer_order': 1296, 'outer_permdeg': 9, 'outer_perms': [26869, 15976, 224824, 26149, 26790, 21030, 86400, 81], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_3\\wr S_3', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 6], [4, 4], [6, 12]], 'representations': {'PC': {'code': 1801346832144273154371679, 'gens': [1, 3, 4, 5, 6], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 866, 386, 867, 12964, 5680, 11669]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 24507118, 1305911, 2939606, 36731395, 14159168]}, 'Perm': {'d': 18, 'gens': [1308157017019, 422641876213640, 85105654963324, 797707230670627, 1171782136762535, 135335]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:C_6', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}