Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 36, 'aut_gen_orders': [18, 6, 18, 6, 18], 'aut_gens': [[1, 6, 36, 324], [2819, 1230, 1008, 2844], [157, 642, 1044, 1620], [2341, 2274, 2772, 2268], [1949, 690, 1260, 648], [2141, 1326, 720, 2268]], 'aut_group': None, 'aut_hash': 1249186706886976504, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 69984, 'aut_permdeg': 56, 'aut_perms': [595313946404826687836482579772046030831083284389470183867898552897092899088, 91989649423148334292441325244703948303253981717375150061691811554214007437, 142858848746378582053066277178640193660989132043895470084810790996993399681, 207076722672689613260598364796631960356476492431243358961747509597262368097, 169127992650292587463745331385311068795519651420624329843789619304698631286], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 27, 2, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 2], [3, 2, 4, 1], [3, 4, 1, 1], [3, 4, 2, 3], [3, 4, 4, 2], [6, 27, 4, 1], [6, 54, 2, 1], [6, 54, 4, 1], [6, 81, 2, 1], [6, 162, 1, 1], [6, 162, 2, 1], [9, 2, 6, 1], [9, 2, 12, 1], [9, 4, 6, 2], [9, 4, 9, 1], [9, 4, 12, 3], [9, 4, 18, 2], [9, 4, 24, 1], [9, 4, 36, 1], [18, 54, 6, 1], [18, 54, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_9^2.C_6^2.C_2^2', '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': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '34992.li', 'autcentquo_hash': 4446374507520423236, 'autcentquo_nilpotent': False, 'autcentquo_order': 34992, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'D_9^2:(C_3\\times S_3^2)', 'cc_stats': [[1, 1, 1], [2, 27, 2], [2, 81, 1], [3, 1, 2], [3, 2, 9], [3, 4, 15], [6, 27, 4], [6, 54, 6], [6, 81, 2], [6, 162, 3], [9, 2, 18], [9, 4, 153], [18, 54, 18]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '972.470', 'commutator_count': 1, 'commutator_label': '243.31', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 239, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['972.470', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 27, 1, 2], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 1, 3], [3, 2, 2, 3], [3, 4, 1, 3], [3, 4, 2, 6], [6, 27, 2, 2], [6, 54, 1, 2], [6, 54, 2, 2], [6, 81, 2, 1], [6, 162, 1, 1], [6, 162, 2, 1], [9, 2, 3, 2], [9, 2, 6, 2], [9, 4, 3, 7], [9, 4, 6, 22], [18, 54, 3, 2], [18, 54, 6, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 18, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 36]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '324.167', 'hash': 3092247734040758204, 'hyperelementary': 1, 'id': 415971, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [18, 6, 9, 9], 'inner_gens': [[1, 1362, 2880, 324], [1921, 6, 288, 2592], [397, 78, 36, 324], [1, 654, 36, 324]], 'inner_hash': 470, 'inner_nilpotent': False, 'inner_order': 972, 'inner_split': True, 'inner_tex': 'C_3:D_9^2', 'inner_used': [1, 2], 'irrC_degree': 4, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 8, 'irrep_stats': [[1, 12], [2, 54], [4, 168]], 'label': '2916.je', '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': 'C3^2:D9^2', 'ngens': 8, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 234, 'number_divisions': 66, 'number_normal_subgroups': 54, 'number_subgroup_autclasses': 290, 'number_subgroup_classes': 610, 'number_subgroups': 5852, 'old_label': None, 'order': 2916, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 135], [3, 80], [6, 1080], [9, 648], [18, 972]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 6, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 30, 36, 324], [595, 6, 2016, 2448], [1157, 6, 2664, 1296]], 'outer_group': '72.48', 'outer_hash': 48, 'outer_nilpotent': False, 'outer_order': 72, 'outer_permdeg': 10, 'outer_perms': [367920, 1174465, 806404], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6\\times D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 9], [6, 4], [8, 6], [12, 11], [24, 22]], 'representations': {'PC': {'code': '9711181385477133432286650916623342129888384236438873397087', 'gens': [1, 3, 5, 7], 'pres': [8, -2, -3, -2, -3, -3, -3, -3, -3, 16, 15561, 32690, 27298, 66, 771, 115204, 1940, 156, 103685, 1749, 24214, 222, 20759]}, 'Perm': {'d': 24, 'gens': [2401762745797069495991, 27085890093897047943757]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:D_9^2', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}