Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 18, 'aut_gen_orders': [6, 3, 3, 6, 9, 3], 'aut_gens': [[1, 2, 6], [21, 2, 30], [23, 2, 28], [39, 2, 24], [31, 40, 30], [27, 2, 6], [5, 2, 6]], 'aut_group': '2916.fs', 'aut_hash': 5014850949365468175, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2916, 'aut_permdeg': 27, 'aut_perms': [7868647335558924443384488741, 8315302877703001449901035885, 475450078092826555817483378, 5868774321689208087377229142, 7879598544369110823299021256, 2017788122521841209995571504], 'aut_phi_ratio': 162.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 1, 1], [3, 2, 3, 1], [9, 2, 9, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^4.S_3^2', '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': 18, 'autcentquo_group': '2916.fs', 'autcentquo_hash': 5014850949365468175, 'autcentquo_nilpotent': False, 'autcentquo_order': 2916, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^4.S_3^2', 'cc_stats': [[1, 1, 1], [2, 27, 1], [3, 2, 4], [9, 2, 9]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '54.7', 'commutator_count': 1, 'commutator_label': '27.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 7, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 1, 4], [9, 2, 3, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 28, 'exponent': 18, 'exponents_of_order': [3, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '18.4', 'hash': 7, 'hyperelementary': 1, 'id': 131888, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 3, 9], 'inner_gens': [[1, 4, 48], [5, 2, 6], [13, 2, 6]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 54, 'inner_split': True, 'inner_tex': 'C_3:D_9', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 2], [2, 13]], 'label': '54.7', 'linC_count': 54, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 9, 'linQ_dim': 8, 'linQ_dim_count': 9, 'linR_count': 54, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3:D9', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 5, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 15, 'number_divisions': 9, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 20, 'number_subgroups': 86, 'old_label': None, 'order': 54, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 27], [3, 8], [9, 18]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [3, 3, 3, 2], 'outer_gen_pows': [1, 0, 0, 0], 'outer_gens': [[1, 4, 14], [1, 38, 42], [1, 2, 24], [1, 4, 6]], 'outer_group': '54.8', 'outer_hash': 8, 'outer_nilpotent': False, 'outer_order': 54, 'outer_permdeg': 9, 'outer_perms': [135335, 222105, 98499, 10882], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^2:S_3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 4], [6, 3]], 'representations': {'PC': {'code': 1413374919, 'gens': [1, 2, 3], 'pres': [4, -2, -3, -3, -3, 33, 578, 46, 579]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [5869, 61399, 6083, 5941]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [19765, 203896, 20384, 19927]}, 'Perm': {'d': 12, 'gens': [8719945, 51902880, 3, 95973864]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3:D_9', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}