Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '54.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 312, 'aut_gen_orders': [2, 13, 2, 2], 'aut_gens': [[1, 3, 9, 54], [39, 3, 34, 54], [40, 25, 50, 54], [1, 3, 117, 108], [1, 3, 9, 108]], 'aut_group': '67392.a', 'aut_hash': 8434267375346804523, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 67392, 'aut_permdeg': 18, 'aut_perms': [3946750177275361, 1620315566922240, 7, 25], 'aut_phi_ratio': 1248.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [3, 1, 26, 1], [3, 2, 1, 1], [3, 2, 26, 1], [6, 3, 26, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times \\GL(3,3)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 312, 'autcent_group': '11232.a', 'autcent_hash': 778507202365856770, 'autcent_nilpotent': False, 'autcent_order': 11232, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(3,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 3, 1], [3, 1, 26], [3, 2, 27], [6, 3, 26]], 'center_label': '27.5', 'center_order': 27, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', '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': 51, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 3], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [3, 1, 2, 13], [3, 2, 1, 1], [3, 2, 2, 13], [6, 3, 2, 13]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 28, 'exponent': 6, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '162.51', 'hash': 51, 'hyperelementary': 1, 'id': 31836, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 1, 2, 3], 'inner_gens': [[1, 3, 9, 54], [1, 3, 9, 54], [1, 3, 9, 108], [1, 3, 117, 54]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 54], [2, 27]], 'label': '162.51', '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': 'S3*C3^3', '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': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 81, 'number_divisions': 42, 'number_normal_subgroups': 84, 'number_subgroup_autclasses': 19, 'number_subgroup_classes': 190, 'number_subgroups': 324, 'old_label': None, 'order': 162, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 3], [3, 80], [6, 78]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 312, 'outer_gen_orders': [2, 13], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 36, 30, 54], [36, 5, 13, 54]], 'outer_group': '11232.a', 'outer_hash': 778507202365856770, 'outer_nilpotent': False, 'outer_order': 11232, 'outer_permdeg': 15, 'outer_perms': [25909809961, 218691555384], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '\\GL(3,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 27], [4, 13]], 'representations': {'PC': {'code': 86638747, 'gens': [1, 2, 3, 5], 'pres': [5, -3, -3, -2, -3, -3, 42, 314]}, 'GLFq': {'d': 4, 'q': 4, 'gens': [3136608633, 3255846145, 2149582850, 3641761627, 3022005493]}, 'Perm': {'d': 12, 'gens': [1, 43591104, 43545600, 43590960, 3]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times C_3^3', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}