Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '27.5', '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], [20201582, 20254942, 1305911, 2939606, 32428289], [37043725, 7046280, 4733462, 32864349, 2794104], [32864349, 14633333, 5611474, 24577758, 6973453], [11495158, 24898809, 1359298, 43014227, 20327769], [24577758, 24507118, 27715450, 2939606, 36731395], [24577758, 24507118, 23854965, 2939606, 36731395], [24577758, 20327769, 31289712, 2939606, 14686477], [24577758, 37169915, 5504967, 2939606, 7357854], [24577758, 24507118, 31289712, 2939606, 36731395], [24577758, 24507118, 5504967, 2939606, 36731395]], 'aut_group': '629856.le', 'aut_hash': 4095539607023997171, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 629856, 'aut_permdeg': 81, 'aut_perms': [4438536991289698901915356563578909183685878414777360979229137984440562671025735739767449666153971292096149085749967681875, 5085518333382388263346035390932792195270973485023344467110358527419924912953707193938958285813220878302567044794628062233, 615942507436528910147344144006332404692093156457902348345707795575727499063546661619958579594708483908970627531721902613, 4482997165595264759074241758044633386017280260732316528643563563025087387260588873608186815592099148501517411354784642529, 4024520134362269993714032188676026536797626722731017805488974739124359354432590639057130287787761841182626808004736515913, 3325857953924182723175397805874612611501147124510928170903577887831533295019948625398266304766588382118821791141330690354, 1296506529179032578018496511803457939280506031162943861893353101904474499555905162850885385519383886642327827600413510400, 237255623980108845294249274947844995836080539069233676444411718834230511741354698245078772909072741519348245496537004800, 1525721429271618225767633086240326656933682267939565599704719719427575010368014799997970628638076167504919330048541348976, 366952014894226021163661737201074106392785377583120419939421282090602069362024653547293263214687824294495674043901625277], 'aut_phi_ratio': 3888.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 8, 1], [3, 3, 24, 1], [3, 9, 18, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^5.(S_3\\times C_3^2:\\GL(2,3))', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 3, 'autcent_group': '729.504', 'autcent_hash': 504, 'autcent_nilpotent': True, 'autcent_order': 729, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '864.4661', 'autcentquo_hash': 4661, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [3, 1, 8], [3, 3, 24], [3, 9, 18]], 'center_label': '9.2', 'center_order': 9, 'central_product': False, 'central_quotient': '27.5', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 37, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 4], [3, 3, 2, 12], [3, 9, 2, 9]], 'element_repr_type': 'GLFp', 'elementary': 3, 'eulerian_function': 13, 'exponent': 3, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '27.5', 'hash': 37, 'hyperelementary': 3, 'id': 50412, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [1, 3, 3, 1, 3], 'inner_gens': [[24577758, 24507118, 1305911, 2939606, 36731395], [24577758, 24507118, 5504967, 2939606, 36731395], [24577758, 20327769, 1305911, 2939606, 11537230], [24577758, 24507118, 1305911, 2939606, 36731395], [24577758, 24507118, 41439590, 2939606, 36731395]], 'inner_hash': 5, 'inner_nilpotent': True, 'inner_order': 27, 'inner_split': False, 'inner_tex': 'C_3^3', 'inner_used': [2, 3, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 27], [3, 24]], 'label': '243.37', '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:C3', 'ngens': 5, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 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': 51, 'number_divisions': 26, 'number_normal_subgroups': 45, 'number_subgroup_autclasses': 16, 'number_subgroup_classes': 189, 'number_subgroups': 531, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 242]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [6, 6], 'outer_gen_pows': [14408200, 14408200], 'outer_gens': [[11495158, 20699780, 17565602, 32864349, 7192025], [20201582, 24507118, 8679975, 43014227, 24783208]], 'outer_group': '23328.cj', 'outer_hash': 2313055496293256831, 'outer_nilpotent': False, 'outer_order': 23328, 'outer_permdeg': 18, 'outer_perms': [47270795755726, 1570542346920740], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^5:(C_2\\times \\GL(2,3))', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 18, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 13], [6, 12]], 'representations': {'PC': {'code': 4079888, 'gens': [1, 2, 3, 4, 5], 'pres': [5, -3, 3, 3, -3, 3, 571, 457]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 24507118, 1305911, 2939606, 36731395]}, 'Perm': {'d': 18, 'gens': [26259825726468, 422466042758176, 801967071628800, 1114594614698113, 1114594614604800]}}, 'schur_multiplier': [3, 3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:C_3', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}