Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 8], 'aut_gens': [[15714083, 1305911, 38117705, 38113169, 11244463, 8356981, 16299070, 22055597], [15900059, 29656017, 8173273, 38113169, 32653668, 37933997, 24549894, 32939436], [838296, 29656017, 38117705, 22885032, 5713299, 8352445, 18059035, 10032697], [15714083, 29656017, 8352445, 38113169, 4651295, 22889568, 20572157, 2853341]], 'aut_group': '2592.fv', 'aut_hash': 9019849488891309561, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2592, 'aut_permdeg': 27, 'aut_perms': [9561404380856857747979598417, 3463020874287736633086888207, 2688277323962699814852333917], '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, 1], [3, 8, 1, 1], [3, 12, 2, 1], [3, 16, 1, 1], [3, 24, 2, 2], [3, 48, 2, 1], [4, 54, 1, 1], [4, 162, 1, 1], [6, 18, 1, 1], [6, 24, 1, 1], [6, 36, 2, 2], [6, 72, 2, 2], [6, 108, 2, 1], [12, 108, 1, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_3^2:\\GL(2,3)', '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': 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, 2, 1], [3, 8, 1], [3, 12, 2], [3, 16, 1], [3, 24, 4], [3, 48, 2], [4, 54, 1], [4, 162, 1], [6, 18, 1], [6, 24, 1], [6, 36, 4], [6, 72, 4], [6, 108, 2], [12, 108, 1]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '1296.3489', 'commutator_count': 1, 'commutator_label': '216.160', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3489, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['216.153', 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, 1], [3, 8, 1, 1], [3, 12, 2, 1], [3, 16, 1, 1], [3, 24, 2, 2], [3, 48, 2, 1], [4, 54, 1, 1], [4, 162, 1, 1], [6, 18, 1, 1], [6, 24, 1, 1], [6, 36, 2, 2], [6, 72, 2, 2], [6, 108, 2, 1], [12, 108, 1, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 192, 'exponent': 12, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[16, 0, 2], [16, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3489', 'hash': 3489, 'hyperelementary': 1, 'id': 318807, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 3, 6, 2, 6, 6, 12, 4], 'inner_gens': [[15714083, 29656017, 38115437, 38113169, 11240170, 23235033, 16301338, 7356714], [1017468, 1305911, 22889568, 22885032, 11244463, 37769972, 16299070, 22055597], [28820989, 29656017, 38117705, 22885032, 26124783, 37769972, 30834006, 6991566], [15714083, 29656017, 8173273, 38113169, 41188895, 8356981, 2665340, 22055597], [29000161, 1305911, 8004712, 22885032, 11244463, 8173273, 13237870, 9853282], [29004697, 29656017, 8173273, 38113169, 11240170, 8356981, 31179471, 21869621], [15530375, 1305911, 23049057, 22885032, 20589329, 23051325, 16299070, 5689809], [836028, 1305911, 37931729, 38113169, 12945379, 22889568, 24547626, 22055597]], 'inner_hash': 3489, 'inner_nilpotent': False, 'inner_order': 1296, 'inner_split': True, 'inner_tex': 'S_3\\times \\PU(3,2)', 'inner_used': [1, 2, 3, 5, 7], 'irrC_degree': 16, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 6], [2, 9], [3, 2], [4, 3], [6, 1], [8, 6], [16, 3]], 'label': '1296.3489', 'linC_count': 18, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 2, 'linQ_dim': 10, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'S3*PU(3,2)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 21, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 30, 'number_divisions': 21, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 120, 'number_subgroups': 2160, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 39], [3, 242], [4, 216], [6, 690], [12, 108]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [14408200], 'outer_gens': [[650052, 1305911, 23053593, 38113169, 11297356, 22889568, 32589678, 20408132]], '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': 5, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 3], [16, 3], [32, 1]], 'representations': {'PC': {'code': 937962082399981840178500752352107835058117169445101615077725560577351, 'gens': [1, 3, 4, 7, 8], 'pres': [8, -2, -3, -2, 2, -2, -3, -3, 3, 16, 1010, 1306, 306, 3267, 1451, 467, 91, 4804, 116, 4613, 56454, 16142, 5398, 4062, 710, 10775, 799, 2343]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [15714083, 1305911, 38117705, 38113169, 11244463, 8356981, 16299070, 22055597]}, 'Perm': {'d': 12, 'gens': [1, 7752960, 12752664, 8086440, 3, 16914504, 56024880, 100212624]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times \\PU(3,2)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}