Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '36.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [3, 2, 2, 4, 6, 2, 4, 6, 4, 6], 'aut_gens': [[1, 6, 18, 108], [15, 16, 18, 108], [5, 12, 18, 108], [5, 10, 90, 108], [13, 14, 18, 108], [89, 6, 18, 108], [9, 4, 18, 108], [17, 8, 198, 216], [66, 10, 219, 36], [17, 8, 18, 108], [9, 8, 126, 108]], 'aut_group': '3456.kh', 'aut_hash': 3547983885452372277, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3456, 'aut_permdeg': 14, 'aut_perms': [356439910, 4098140881, 5338793866, 5632715147, 4578271464, 233059846, 70363671583, 39038107292, 1383394037, 35120916523], 'aut_phi_ratio': 32.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 2, 1], [2, 9, 1, 1], [3, 1, 8, 1], [3, 2, 2, 1], [3, 2, 16, 1], [3, 4, 1, 1], [3, 4, 8, 1], [6, 3, 16, 1], [6, 6, 2, 1], [6, 6, 16, 1], [6, 9, 8, 1]], 'aut_supersolvable': False, 'aut_tex': '\\GL(2,3)\\times \\SOPlus(4,2)', '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': 12, 'autcentquo_group': '72.40', 'autcentquo_hash': 40, 'autcentquo_nilpotent': False, 'autcentquo_order': 72, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\SOPlus(4,2)', 'cc_stats': [[1, 1, 1], [2, 3, 2], [2, 9, 1], [3, 1, 8], [3, 2, 18], [3, 4, 9], [6, 3, 16], [6, 6, 18], [6, 9, 8]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '36.10', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 165, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 2], ['6.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 2], [2, 9, 1, 1], [3, 1, 2, 4], [3, 2, 1, 2], [3, 2, 2, 8], [3, 4, 1, 1], [3, 4, 2, 4], [6, 3, 2, 8], [6, 6, 1, 2], [6, 6, 2, 8], [6, 9, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 6, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '324.165', 'hash': 165, 'hyperelementary': 1, 'id': 109182, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 1, 6, 3], 'inner_gens': [[1, 6, 90, 108], [1, 6, 18, 108], [37, 6, 18, 216], [1, 6, 234, 108]], 'inner_hash': 10, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': True, 'inner_tex': 'S_3^2', 'inner_used': [1, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 36], [2, 36], [4, 9]], 'label': '324.165', '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*S3^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 12, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 81, 'number_divisions': 45, 'number_normal_subgroups': 60, 'number_subgroup_autclasses': 58, 'number_subgroup_classes': 224, 'number_subgroups': 664, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 15], [3, 80], [6, 228]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [3, 2, 2, 2, 4, 4], 'outer_gen_pows': [1, 0, 55, 55, 0, 0], 'outer_gens': [[17, 4, 90, 108], [7, 12, 18, 216], [58, 6, 219, 72], [56, 12, 219, 72], [66, 4, 219, 36], [13, 14, 18, 108]], 'outer_group': '96.189', 'outer_hash': 189, 'outer_nilpotent': False, 'outer_order': 96, 'outer_permdeg': 10, 'outer_perms': [45504, 2672094, 1, 2805415, 2189071, 1217880], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times \\GL(2,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 20], [4, 17], [8, 4]], 'representations': {'PC': {'code': 746426938515546715, 'gens': [1, 3, 4, 6], 'pres': [6, -2, -3, -3, -2, -3, -3, 12, 2163, 69, 2164, 455]}, 'GLFq': {'d': 4, 'q': 4, 'gens': [1074840769, 1074734081, 3223324931, 2149582850, 3223652611, 34596033]}, 'Perm': {'d': 12, 'gens': [40723200, 136, 91450800, 325, 435, 130682160]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 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 S_3^2', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}