Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [4, 3, 6, 3, 3, 2, 4, 2], 'aut_gens': [[41065, 41184, 1680, 11064, 87240, 3], [1561, 136824, 22584, 181440, 103080, 3], [41065, 46104, 90720, 11064, 87240, 3], [224185, 213384, 11520, 11064, 166440, 4], [212669, 212400, 167280, 11064, 87240, 3], [212665, 212400, 167280, 11064, 87240, 3], [41065, 41184, 1680, 20904, 166440, 4], [21025, 47784, 100944, 176664, 181440, 3], [138241, 133200, 22584, 20904, 166440, 3]], 'aut_group': '864.4662', 'aut_hash': 4662, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 864, 'aut_permdeg': 12, 'aut_perms': [92707344, 328786800, 254194681, 226207563, 226207560, 12541705, 185493624, 105453624], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 18, 2, 1], [3, 2, 1, 1], [3, 4, 2, 1], [3, 8, 2, 1], [4, 18, 1, 1], [6, 18, 1, 1], [6, 36, 2, 1], [12, 18, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_9:D_6', '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': 24, 'autcentquo_group': '864.4662', 'autcentquo_hash': 4662, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:D_6', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 18, 2], [3, 2, 1], [3, 4, 2], [3, 8, 2], [4, 18, 1], [6, 18, 1], [6, 36, 2], [12, 18, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '216.159', 'commutator_count': 1, 'commutator_label': '54.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 159, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 18, 1, 2], [3, 2, 1, 1], [3, 4, 1, 2], [3, 8, 1, 2], [4, 18, 1, 1], [6, 18, 1, 1], [6, 36, 1, 2], [12, 18, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 12, 'exponent': 12, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '216.159', 'hash': 159, 'hyperelementary': 1, 'id': 143530, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 4, 2, 3, 3, 3], 'inner_gens': [[41065, 42480, 1680, 87240, 11064, 4], [42745, 41184, 1680, 166440, 11064, 3], [41065, 41184, 1680, 20904, 166440, 3], [138241, 133200, 22584, 11064, 87240, 3], [212665, 212400, 167280, 11064, 87240, 3], [41069, 41184, 1680, 11064, 87240, 3]], 'inner_hash': 159, 'inner_nilpotent': False, 'inner_order': 216, 'inner_split': False, 'inner_tex': 'C_3^2:D_{12}', 'inner_used': [1, 2, 4, 6], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 4], [2, 5], [4, 4], [8, 2]], 'label': '216.159', 'linC_count': 16, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 8, 'linQ_dim': 6, 'linQ_dim_count': 8, 'linR_count': 16, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:D12', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 10, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 15, 'number_divisions': 14, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 38, 'number_subgroup_classes': 60, 'number_subgroups': 436, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 45], [3, 26], [4, 18], [6, 90], [12, 36]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [41184, 0], 'outer_gens': [[265, 41184, 1680, 181440, 176664, 3], [41065, 41184, 1680, 11064, 87240, 4]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 9, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 3], [4, 5], [8, 2]], 'representations': {'PC': {'code': 69645133748633466413840644487, 'gens': [1, 2, 5, 6], 'pres': [6, -2, -2, -2, -3, -3, 3, 265, 31, 362, 50, 387, 1450, 376, 6053, 3035, 1313]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [24970025952508372, 58301506734280708]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [14685301, 24577758, 12969598, 1305911, 26172358, 2939606]}, 'Perm': {'d': 9, 'gens': [41065, 41184, 1680, 11064, 87240, 3]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:D_{12}', 'transitive_degree': 12, 'wreath_data': None, 'wreath_product': False}