Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '27.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 6, 'aut_gen_orders': [2, 6, 3, 3, 3, 3, 3, 3], 'aut_gens': [[1, 3, 9, 27], [169, 87, 93, 227], [86, 168, 174, 214], [82, 3, 171, 189], [16, 3, 171, 42], [91, 84, 9, 120], [163, 3, 9, 189], [184, 3, 171, 132], [97, 3, 90, 39]], 'aut_group': '8748.nx', 'aut_hash': 1826824646456304358, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 8748, 'aut_permdeg': 54, 'aut_perms': [78923015574267723025357481002290415816112078994664730302494565768417087, 213670179628649514086831949202284991574364994913047021468665928394190144, 118528973732709235412643865355095268458143696440463167892864991493258767, 32426199607711302062807792646150292131770309220624856622307073463623404, 161388647746167169176430173451630979756325756808994797555859591340431824, 143653912797807790235992581814576874188133261963180524941880211900530936, 35108551901739376193525196994417450164948249337782201980651772797312383, 59174989272044381821163487350625986845554302191593684514585738120580652], 'aut_phi_ratio': 54.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 3, 1, 2], [3, 3, 2, 3], [3, 9, 6, 2], [9, 9, 12, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^5:S_3^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 3, 'autcent_group': '27.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 27, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '324.169', 'autcentquo_hash': 169, 'autcentquo_nilpotent': False, 'autcentquo_order': 324, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^2:S_3^2', 'cc_stats': [[1, 1, 1], [3, 1, 2], [3, 3, 8], [3, 9, 12], [9, 9, 12]], 'center_label': '3.1', 'center_order': 3, 'central_product': False, 'central_quotient': '81.12', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 56, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 3, 2, 4], [3, 9, 2, 6], [9, 9, 2, 6]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 936, 'exponent': 9, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [[9, 0, 2]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '27.5', 'hash': 56, 'hyperelementary': 3, 'id': 144683, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [3, 3, 3, 3], 'inner_gens': [[1, 3, 90, 111], [1, 3, 9, 108], [163, 3, 9, 27], [7, 165, 9, 27]], 'inner_hash': 12, 'inner_nilpotent': True, 'inner_order': 81, 'inner_split': True, 'inner_tex': 'C_3\\times \\He_3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 9, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 18, 'irrep_stats': [[1, 27], [3, 6], [9, 2]], 'label': '243.56', 'linC_count': 2, 'linC_degree': 9, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 1, 'linQ_dim': 18, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 18, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^3:C3^2', 'ngens': 3, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 35, 'number_divisions': 18, 'number_normal_subgroups': 33, 'number_subgroup_autclasses': 32, 'number_subgroup_classes': 74, 'number_subgroups': 234, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 134], [9, 108]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 3, 3, 3], 'outer_gen_pows': [2, 0, 0, 0, 0], 'outer_gens': [[1, 168, 12, 140], [2, 6, 12, 28], [97, 3, 90, 42], [16, 3, 9, 204], [1, 165, 171, 129]], 'outer_group': '108.39', 'outer_hash': 39, 'outer_nilpotent': False, 'outer_order': 108, 'outer_permdeg': 9, 'outer_perms': [1, 5064, 144, 45360, 3], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3:S_3^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 27, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 13], [6, 3], [18, 1]], 'representations': {'PC': {'code': 261217878632, 'gens': [1, 2, 3, 4], 'pres': [5, 3, 3, 3, 3, 3, 1352, 2223, 728, 78]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 1305911, 2939606, 36731395, 2794152]}, 'Perm': {'d': 27, 'gens': [26980884404807753019028, 7550102686338507196661760000, 806634631152869761141401600, 2516538717432286673398548480, 806634631153204606767248884]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:C_3^2', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}