Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 2, 3, 2, 2], 'aut_gens': [[25643242, 26410912, 8753784, 28816400, 22871412, 6594086, 12299789], [12299789, 23689732, 12703935, 28816400, 22871412, 6594086, 25643242], [25643242, 26410912, 8753784, 28816400, 22871412, 13129120, 12299789], [25643242, 26410912, 12703935, 28816400, 40930695, 13129120, 12299789], [3796085, 26410912, 26791228, 28816400, 40930695, 6594086, 26640425], [36739748, 26410912, 12703935, 28816400, 22871412, 6594086, 8630074], [26791228, 980237, 37336888, 28816400, 22871412, 30745094, 36739748], [36739748, 13577103, 12703935, 28816400, 22871412, 33433269, 12299789], [25643242, 980237, 12703935, 28816400, 22871412, 16726638, 8630074]], 'aut_group': '384.20051', 'aut_hash': 20051, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 384, 'aut_permdeg': 10, 'aut_perms': [5040, 127, 6, 288, 126, 80640, 1174320, 806400], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 2, 1], [2, 6, 1, 1], [2, 12, 1, 1], [2, 12, 2, 1], [3, 8, 1, 1], [4, 2, 1, 1], [4, 6, 1, 1], [4, 6, 2, 1], [4, 12, 1, 1], [6, 8, 1, 1], [6, 16, 2, 1], [8, 6, 2, 1], [8, 12, 1, 1], [8, 12, 2, 1], [12, 16, 1, 1]], 'aut_supersolvable': False, 'aut_tex': '\\GL(2,\\mathbb{Z}/4):C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '48.48', 'autcentquo_hash': 48, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times S_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 2], [2, 6, 1], [2, 12, 3], [3, 8, 1], [4, 2, 1], [4, 6, 3], [4, 12, 1], [6, 8, 1], [6, 16, 2], [8, 6, 2], [8, 12, 3], [12, 16, 1]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '96.226', 'commutator_count': 1, 'commutator_label': '24.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1485, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 2], [2, 6, 1, 1], [2, 12, 1, 3], [3, 8, 1, 1], [4, 2, 1, 1], [4, 6, 1, 3], [4, 12, 1, 1], [6, 8, 1, 1], [6, 16, 1, 2], [8, 6, 2, 1], [8, 12, 1, 3], [12, 16, 1, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 5040, 'exponent': 24, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 2], [8, 1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '96.226', 'hash': 1485, 'hyperelementary': 1, 'id': 142315, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 3, 2, 1, 2, 2, 2], 'inner_gens': [[25643242, 980237, 8753784, 28816400, 40930695, 16726638, 8630074], [37579826, 26410912, 26640425, 28816400, 22871412, 11092568, 36739748], [25643242, 9861502, 8753784, 28816400, 40930695, 13129120, 12299789], [25643242, 26410912, 8753784, 28816400, 22871412, 6594086, 12299789], [36739748, 26410912, 12703935, 28816400, 22871412, 6594086, 8630074], [12299789, 23689732, 12703935, 28816400, 22871412, 6594086, 25643242], [36739748, 13577103, 8753784, 28816400, 40930695, 33433269, 12299789]], 'inner_hash': 226, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': True, 'inner_tex': 'C_2^2\\times S_4', 'inner_used': [1, 2, 3, 6], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 4], [3, 8], [4, 2], [8, 1]], 'label': '192.1485', 'linC_count': 2, 'linC_degree': 4, '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': 8, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'GL(2,3):C2^2', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 15, 'number_conjugacy_classes': 23, 'number_divisions': 22, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 106, 'number_subgroup_classes': 152, 'number_subgroups': 615, 'old_label': None, 'order': 192, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 47], [3, 8], [4, 32], [6, 40], [8, 48], [12, 16]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [14408200, 14408200], 'outer_gens': [[3796085, 26410912, 26791228, 28816400, 40930695, 6594086, 26640425], [25643242, 26410912, 8753784, 28816400, 22871412, 13129120, 12299789]], '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': 5, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [3, 8], [8, 2]], 'representations': {'PC': {'code': 44022081919709796522040264181006490120, 'gens': [1, 2, 3, 5, 6], 'pres': [7, -2, -2, -2, -3, -2, 2, -2, 2102, 219, 58, 234, 2531, 1488, 235, 172, 2532, 271, 908, 285, 124]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [25643242, 26410912, 8753784, 28816400, 22871412, 6594086, 12299789]}, 'Perm': {'d': 16, 'gens': [1327353355854, 5167, 11212821043200, 26864369863, 6920136143976, 4097467157057, 1313941673647]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\GL(2,3):C_2^2', 'transitive_degree': 16, 'wreath_data': None, 'wreath_product': False}