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': 12, 'aut_gen_orders': [2, 6, 6, 12], 'aut_gens': [[1, 6, 18], [113, 150, 90], [109, 84, 90], [43, 6, 126], [127, 6, 18]], 'aut_group': '864.2470', 'aut_hash': 2470, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 864, 'aut_permdeg': 13, 'aut_perms': [139356720, 99244207, 2527233983, 1137679937], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 2, 1], [3, 2, 1, 1], [3, 3, 2, 1], [3, 6, 1, 1], [3, 6, 2, 1], [4, 2, 1, 1], [6, 2, 1, 1], [6, 3, 2, 1], [6, 6, 1, 1], [6, 6, 2, 1], [6, 18, 4, 1], [12, 2, 2, 1], [12, 6, 2, 2], [12, 6, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_6.D_6^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '216.102', 'autcentquo_hash': 102, 'autcentquo_nilpotent': False, 'autcentquo_order': 216, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_6.S_3^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 18, 2], [3, 2, 1], [3, 3, 2], [3, 6, 3], [4, 2, 1], [6, 2, 1], [6, 3, 2], [6, 6, 3], [6, 18, 4], [12, 2, 2], [12, 6, 8]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '108.25', 'commutator_count': 1, 'commutator_label': '18.5', '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': 51, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 1, 2], [3, 2, 1, 1], [3, 3, 2, 1], [3, 6, 1, 1], [3, 6, 2, 1], [4, 2, 1, 1], [6, 2, 1, 1], [6, 3, 2, 1], [6, 6, 1, 1], [6, 6, 2, 1], [6, 18, 2, 2], [12, 2, 2, 1], [12, 6, 2, 2], [12, 6, 4, 1]], 'element_repr_type': 'PC', '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': [[6, 1, 2]], 'familial': False, 'frattini_label': '6.2', 'frattini_quotient': '36.12', 'hash': 51, 'hyperelementary': 1, 'id': 143574, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 3, 6], 'inner_gens': [[1, 84, 198], [157, 6, 18], [37, 6, 18]], 'inner_hash': 25, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': True, 'inner_tex': 'C_3^2:D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 6, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 6, 'irrep_stats': [[1, 12], [2, 15], [6, 4]], 'label': '216.51', 'linC_count': 2, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 2, 'linQ_dim': 8, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, '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': 17, 'number_characteristic_subgroups': 17, 'number_conjugacy_classes': 31, 'number_divisions': 19, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 62, 'number_subgroups': 302, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 37], [3, 26], [4, 2], [6, 98], [12, 52]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [56, 0, 2], 'outer_gens': [[55, 150, 18], [5, 84, 18], [109, 84, 90]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 7], [4, 4], [6, 2], [8, 1], [12, 1]], 'representations': {'PC': {'code': 1479043256782167723865689, 'gens': [1, 3, 4], 'pres': [6, -2, -3, -3, -2, -2, -3, 12, 1514, 710, 4755, 69, 5404, 88, 5189]}, 'GLZN': {'d': 2, 'p': 36, 'gens': [47089, 1104817, 46681, 47305, 638209, 46981]}, 'Perm': {'d': 13, 'gens': [14963887, 13, 569898720, 23, 124912200, 1133687640]}}, '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:D_{12}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}