Query:
/api/gps_groups/?_offset=0
{'Agroup': False, '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': 6, 'aut_gen_orders': [3, 6, 3, 3, 3, 2, 2], 'aut_gens': [[1, 6, 18, 108], [7, 6, 18, 108], [41, 48, 18, 216], [79, 6, 126, 108], [49, 6, 18, 108], [79, 42, 18, 108], [37, 12, 90, 216], [1, 12, 90, 108]], 'aut_group': '648.555', 'aut_hash': 555, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 648, 'aut_permdeg': 18, 'aut_perms': [4294835596657382, 5013567591149507, 3384869039994996, 2524925312394339, 3222542592714871, 1813501594690674, 5012074582414896], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 9, 1, 1], [2, 27, 1, 1], [3, 2, 1, 2], [3, 3, 2, 1], [3, 4, 1, 1], [3, 6, 1, 1], [3, 6, 2, 2], [3, 12, 1, 1], [3, 12, 2, 1], [6, 6, 1, 1], [6, 9, 2, 2], [6, 18, 1, 2], [6, 18, 2, 2], [6, 27, 2, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3.S_3^3', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '648.555', 'autcentquo_hash': 555, 'autcentquo_nilpotent': False, 'autcentquo_order': 648, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3.S_3^3', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 9, 1], [2, 27, 1], [3, 2, 2], [3, 3, 2], [3, 4, 1], [3, 6, 5], [3, 12, 3], [6, 6, 1], [6, 9, 4], [6, 18, 6], [6, 27, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '324.116', 'commutator_count': 1, 'commutator_label': '27.5', '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': 116, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['54.5', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 9, 1, 1], [2, 27, 1, 1], [3, 2, 1, 2], [3, 3, 2, 1], [3, 4, 1, 1], [3, 6, 1, 1], [3, 6, 2, 2], [3, 12, 1, 1], [3, 12, 2, 1], [6, 6, 1, 1], [6, 9, 2, 2], [6, 18, 1, 2], [6, 18, 2, 2], [6, 27, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 6, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 1]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '108.38', 'hash': 116, 'hyperelementary': 1, 'id': 148625, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 3, 6, 3], 'inner_gens': [[1, 48, 90, 108], [85, 6, 18, 108], [37, 6, 18, 216], [1, 6, 234, 108]], 'inner_hash': 116, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_3^2:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 12], [2, 12], [4, 3], [6, 2], [12, 1]], 'label': '324.116', 'linC_count': 12, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 4, 'linQ_dim': 8, 'linQ_dim_count': 4, 'linR_count': 4, 'linR_degree': 8, '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': 21, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 30, 'number_divisions': 21, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': 100, 'number_subgroup_classes': 100, 'number_subgroups': 676, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 39], [3, 80], [6, 204]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [0], 'outer_gens': [[5, 48, 18, 216]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 5], [6, 2], [8, 1], [12, 1]], 'representations': {'PC': {'code': 78354702299892394586715, 'gens': [1, 3, 4, 6], 'pres': [6, -2, -3, -3, -2, -3, -3, 12, 866, 386, 2163, 69, 2164, 455]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [15477644, 9861463, 11495158, 36731395, 32319731, 35376673]}, 'Perm': {'d': 12, 'gens': [1, 1502664, 48285480, 11420784, 3, 95968104]}}, 'schur_multiplier': [6], '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:S_3^2', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}