Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'abelian_quotient': '996.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': True, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 82, 'aut_gen_orders': [2, 2, 82], 'aut_gens': [[1], [499], [665], [457]], 'aut_group': '328.15', 'aut_hash': 15, 'aut_nilpotency_class': 1, 'aut_nilpotent': True, 'aut_order': 328, 'aut_permdeg': 86, 'aut_perms': [281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000, 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000, 469567207680536806856258472757826837538400936823261702658415069027027604555205256556750947274229421178880000000000000000000], 'aut_phi_ratio': 1.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [4, 1, 2, 1], [6, 1, 2, 1], [12, 1, 4, 1], [83, 1, 82, 1], [166, 1, 82, 1], [249, 1, 164, 1], [332, 1, 164, 1], [498, 1, 164, 1], [996, 1, 328, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^2\\times C_{82}', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 82, 'autcent_group': '328.15', 'autcent_hash': 15, 'autcent_nilpotent': True, 'autcent_order': 328, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\times C_{82}', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [4, 1, 2], [6, 1, 2], [12, 1, 4], [83, 1, 82], [166, 1, 82], [249, 1, 164], [332, 1, 164], [498, 1, 164], [996, 1, 328]], 'center_label': '996.4', 'center_order': 996, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '3.1', '83.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 4, 'cyclic': True, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['4.1', 1], ['83.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [4, 1, 2, 1], [6, 1, 2, 1], [12, 1, 4, 1], [83, 1, 82, 1], [166, 1, 82, 1], [249, 1, 164, 1], [332, 1, 164, 1], [498, 1, 164, 1], [996, 1, 328, 1]], 'element_repr_type': 'PC', 'elementary': 498, 'eulerian_function': 1, 'exponent': 996, 'exponents_of_order': [2, 1, 1], 'factors_of_aut_order': [2, 41], 'factors_of_order': [2, 3, 83], 'faithful_reps': [[1, 0, 328]], 'familial': True, 'frattini_label': '2.1', 'frattini_quotient': '498.4', 'hash': 4, 'hyperelementary': 498, 'id': 318567, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1], 'inner_gens': [[1]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': 1, 'irrQ_degree': 328, 'irrQ_dim': 328, 'irrR_degree': None, 'irrep_stats': [[1, 996]], 'label': '996.4', 'linC_count': None, 'linC_degree': 1, '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': True, 'monomial': True, 'name': 'C996', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, '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': 12, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 996, 'number_divisions': 12, 'number_normal_subgroups': 12, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 12, 'number_subgroups': 12, 'old_label': None, 'order': 996, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 2], [6, 2], [12, 4], [83, 82], [166, 82], [249, 164], [332, 164], [498, 164], [996, 328]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 82, 'outer_gen_orders': [2, 2, 82], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[499], [665], [457]], 'outer_group': '328.15', 'outer_hash': 15, 'outer_nilpotent': True, 'outer_order': 328, 'outer_permdeg': 86, 'outer_perms': [281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000, 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000, 469567207680536806856258472757826837538400936823261702658415069027027604555205256556750947274229421178880000000000000000000], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_{82}', 'pc_rank': 1, 'perfect': False, 'permutation_degree': 90, 'pgroup': 0, 'primary_abelian_invariants': [4, 3, 83], 'quasisimple': False, 'rank': 1, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 1], [82, 2], [164, 3], [328, 1]], 'representations': {'PC': {'code': 24883231028399891, 'gens': [1], 'pres': [4, -2, -2, -3, -83, 8, 21, 46]}, 'GLFp': {'d': 2, 'p': 167, 'gens': [226374894]}, 'Perm': {'d': 90, 'gens': [49894830767240180121880351478651950498279440647388424258109405285473292227503585616837937994852410991844074416032972800000000000000000000, 563420822876110055389895888452122318960113268661148412810203825505120052319591866902080572904681848036550246400000000000000000000, 38979875363505302337055332973131205624792690113575452946607196594293007568261730186266584808295291703787520000000000000000000, 16510062918206840608934132862972318699434896020234603211125843680344385688494237332573993254210837077522585117471539200000000000000000000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [996], 'solvability_type': 0, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{996}', 'transitive_degree': 996, 'wreath_data': None, 'wreath_product': False}