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': 5, 'aut_exponent': 24, 'aut_gen_orders': [2, 4, 2, 4, 3, 2, 6, 6], 'aut_gens': [[7426, 8101, 13286, 13259, 15473], [7426, 8101, 13286, 6751, 15473], [10315, 8101, 13286, 11098, 16985], [7399, 8101, 13286, 13259, 18389], [11044, 8101, 13286, 8911, 16229], [6697, 8101, 13286, 19091, 15473], [8155, 7372, 13286, 13259, 18443], [8155, 8101, 13286, 11881, 16202], [8128, 8101, 13286, 10423, 17687]], 'aut_group': '864.4661', 'aut_hash': 4661, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 864, 'aut_permdeg': 11, 'aut_perms': [1, 29083801, 8719926, 27297007, 11007408, 1514929, 28008751, 13317145], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 2, 1], [3, 1, 2, 1], [3, 6, 4, 1], [6, 1, 2, 1], [6, 6, 4, 1], [6, 9, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times C_3^2:\\GL(2,3)', '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': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 1, 2], [3, 6, 4], [6, 1, 2], [6, 6, 4], [6, 9, 4]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '18.4', 'commutator_count': 1, 'commutator_label': '27.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 28, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['54.8', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 1, 2, 1], [3, 6, 1, 4], [6, 1, 2, 1], [6, 6, 1, 4], [6, 9, 2, 2]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 567, 'exponent': 6, 'exponents_of_order': [3, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[3, 0, 4]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '36.13', 'hash': 28, 'hyperelementary': 1, 'id': 136698, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 1, 1, 2, 3], 'inner_gens': [[7426, 8101, 13286, 13205, 16931], [7426, 8101, 13286, 13259, 15473], [7426, 8101, 13286, 13259, 15473], [7399, 8101, 13286, 13259, 18389], [6697, 8101, 13286, 19091, 15473]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': False, 'inner_tex': 'C_3:S_3', 'inner_used': [1, 4, 5], 'irrC_degree': 3, 'irrQ_degree': 6, 'irrQ_dim': 6, 'irrR_degree': 6, 'irrep_stats': [[1, 4], [2, 8], [3, 8]], 'label': '108.28', 'linC_count': 4, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 2, 'linQ_dim': 6, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:D6', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 8, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 20, 'number_divisions': 16, 'number_normal_subgroups': 17, 'number_subgroup_autclasses': 20, 'number_subgroup_classes': 55, 'number_subgroups': 167, 'old_label': None, 'order': 108, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 26], [6, 62]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2], 'outer_gen_pows': [6643, 6643, 6643, 13934, 13934], 'outer_gens': [[10288, 7372, 13286, 17579, 13340], [7426, 8101, 13286, 6751, 15473], [8857, 8101, 13286, 18335, 13313], [11071, 8101, 13286, 16175, 19145], [12502, 8101, 13286, 16877, 16229]], 'outer_group': '48.48', 'outer_hash': 48, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 6, 'outer_perms': [143, 127, 576, 126, 121], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [6, 4]], 'representations': {'PC': {'code': 47077684069063437, 'gens': [1, 2, 3, 4], 'pres': [5, 2, 3, 3, 2, 3, 41, 1803, 308, 58, 1804, 534]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [78750878879449598, 41624316883886018, 74635755094754554]}, 'GLFp': {'d': 3, 'p': 3, 'gens': [7426, 8101, 13286, 13259, 15473]}, 'Perm': {'d': 11, 'gens': [769375, 1, 4478784, 1150590, 8891526]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:D_6', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}