Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [2, 3, 6, 4, 4, 3, 4, 4, 3, 2], 'aut_gens': [[1, 6, 18, 108], [79, 12, 90, 108], [73, 6, 18, 108], [49, 12, 198, 108], [85, 84, 24, 108], [37, 48, 30, 108], [49, 6, 18, 108], [13, 72, 66, 216], [5, 78, 96, 108], [7, 6, 24, 108], [73, 6, 90, 108]], 'aut_group': '5184.qr', 'aut_hash': 8627901162325749137, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5184, 'aut_permdeg': 14, 'aut_perms': [56567888771, 25517330398, 34180400329, 69023093998, 50338967290, 81717529188, 25391078837, 81848719572, 2546461, 3237814], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 9, 1, 1], [2, 27, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [3, 4, 4, 1], [3, 4, 8, 1], [6, 3, 2, 1], [6, 6, 4, 1], [6, 6, 8, 1], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 27, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^2:\\GL(2,3)\\times D_6', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '2592.fv', 'autcentquo_hash': 9019849488891309561, 'autcentquo_nilpotent': False, 'autcentquo_order': 2592, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 9, 1], [2, 27, 1], [3, 1, 2], [3, 2, 15], [3, 4, 12], [6, 3, 2], [6, 6, 12], [6, 9, 2], [6, 18, 3], [6, 27, 2]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '108.39', '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': 166, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['3.1', 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, 1, 2, 1], [3, 2, 1, 5], [3, 2, 2, 5], [3, 4, 1, 4], [3, 4, 2, 4], [6, 3, 2, 1], [6, 6, 1, 4], [6, 6, 2, 4], [6, 9, 2, 1], [6, 18, 1, 1], [6, 18, 2, 1], [6, 27, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2184, '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': '324.166', 'hash': 166, 'hyperelementary': 1, 'id': 109183, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 6, 3], 'inner_gens': [[1, 12, 90, 108], [13, 6, 18, 108], [37, 6, 18, 216], [1, 6, 234, 108]], 'inner_hash': 39, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': False, 'inner_tex': 'C_3:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 12], [2, 30], [4, 12]], 'label': '324.166', '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': 18, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 54, 'number_divisions': 36, 'number_normal_subgroups': 44, 'number_subgroup_autclasses': 87, 'number_subgroup_classes': 224, 'number_subgroups': 1000, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 39], [3, 80], [6, 204]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2], 'outer_gen_pows': [0, 0, 1, 1, 1], 'outer_gens': [[1, 78, 90, 108], [5, 12, 90, 108], [1, 48, 90, 108], [1, 36, 60, 108], [1, 42, 102, 108]], 'outer_group': '48.48', 'outer_hash': 48, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 6, 'outer_perms': [598, 719, 373, 639, 86], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 14], [4, 14], [8, 4]], 'representations': {'PC': {'code': 241842432640628585051, 'gens': [1, 3, 4, 6], 'pres': [6, -2, -3, -3, -2, -3, -3, 12, 218, 2163, 69, 2164, 455]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [24505, 40831, 6083, 5941, 96397, 5995]}, 'Perm': {'d': 12, 'gens': [136, 3633840, 325, 43590960, 45360, 435]}}, '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': 36, 'wreath_data': None, 'wreath_product': False}