Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 72, 'aut_gen_orders': [6, 6, 36, 12], 'aut_gens': [[1, 3, 18], [2, 3, 36], [7, 3, 144], [13, 34, 18], [7, 125, 18]], 'aut_group': '2592.pr', 'aut_hash': 6401439262861832264, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2592, 'aut_permdeg': 17, 'aut_perms': [2890814940743, 8227857663336, 90779465180873, 113798805506503], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 8, 1], [3, 2, 1, 1], [3, 2, 8, 1], [6, 9, 8, 1], [9, 2, 3, 1], [9, 2, 24, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9:C_6\\times \\GL(2,3)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '48.29', 'autcent_hash': 29, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 18, 'autcentquo_group': '54.6', 'autcentquo_hash': 6, 'autcentquo_nilpotent': False, 'autcentquo_order': 54, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_9:C_6', 'cc_stats': [[1, 1, 1], [2, 9, 1], [3, 1, 8], [3, 2, 9], [6, 9, 8], [9, 2, 27]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '18.1', 'commutator_count': 1, 'commutator_label': '9.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 32, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.1', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 4], [3, 2, 1, 1], [3, 2, 2, 4], [6, 9, 2, 4], [9, 2, 3, 1], [9, 2, 6, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 18, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '54.12', 'hash': 32, 'hyperelementary': 1, 'id': 31825, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [1, 2, 9], 'inner_gens': [[1, 3, 18], [1, 3, 144], [1, 39, 18]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': True, 'inner_tex': 'D_9', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 36]], 'label': '162.32', 'linC_count': 288, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 24, 'linQ_dim': 10, 'linQ_dim_count': 24, 'linR_count': 144, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2*D9', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 54, 'number_divisions': 20, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 22, 'number_subgroup_classes': 52, 'number_subgroups': 128, 'old_label': None, 'order': 162, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 9], [3, 26], [6, 72], [9, 54]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 24, 'outer_gen_orders': [6, 24, 3], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[2, 15, 36], [13, 5, 90], [1, 5, 18]], 'outer_group': '144.122', 'outer_hash': 122, 'outer_nilpotent': False, 'outer_order': 144, 'outer_permdeg': 11, 'outer_perms': [27762027, 19802404, 23236824], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3\\times \\GL(2,3)', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 9], [4, 4], [6, 1], [12, 4]], 'representations': {'PC': {'code': 2297911886167, 'gens': [1, 2, 4], 'pres': [5, -3, -2, -3, -3, -3, 26, 968, 78, 909]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [10015, 40831, 99325, 5941, 96397]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [196840, 19765, 19693, 511759, 19927]}, 'Perm': {'d': 15, 'gens': [14377673520, 147, 243, 107304059520, 201348690480]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 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\\times D_9', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}