Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [3, 6, 3, 6, 2, 2, 2, 4, 4], 'aut_gens': [[1, 8, 24, 72], [49, 8, 24, 72], [63, 40, 24, 144], [41, 8, 24, 72], [117, 8, 24, 72], [13, 16, 48, 72], [5, 8, 24, 72], [5, 16, 48, 144], [47, 64, 40, 72], [31, 24, 16, 72]], 'aut_group': '1728.47860', 'aut_hash': 47860, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1728, 'aut_permdeg': 14, 'aut_perms': [46464692400, 52336085767, 27942572160, 27942572191, 40364311681, 1, 2127212647, 40016319841, 34228419841], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [3, 4, 2, 1], [3, 4, 4, 1], [4, 9, 2, 1], [6, 2, 1, 1], [6, 4, 2, 1], [6, 4, 4, 1], [8, 27, 4, 1], [12, 18, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times F_9:D_6', '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': '864.4662', 'autcentquo_hash': 4662, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 2, 1], [3, 4, 6], [4, 9, 2], [6, 2, 1], [6, 4, 6], [8, 27, 4], [12, 18, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '108.37', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 118, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [3, 4, 1, 2], [3, 4, 2, 2], [4, 9, 2, 1], [6, 2, 1, 1], [6, 4, 1, 2], [6, 4, 2, 2], [8, 27, 4, 1], [12, 18, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 12, 'exponent': 24, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '108.37', 'hash': 118, 'hyperelementary': 1, 'id': 143513, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 3, 3, 3], 'inner_gens': [[1, 40, 32, 144], [65, 8, 24, 72], [17, 8, 24, 72], [145, 8, 24, 72]], 'inner_hash': 37, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': False, 'inner_tex': 'C_3^3:C_4', 'inner_used': [1, 2, 4], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 4], [4, 12]], 'label': '216.118', 'linC_count': 4, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 4, 'linQ_dim': 8, 'linQ_dim_count': 4, 'linR_count': 8, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^3:C8', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 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': 11, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 24, 'number_divisions': 15, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 26, 'number_subgroup_classes': 36, 'number_subgroups': 140, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 1], [3, 26], [4, 18], [6, 26], [8, 108], [12, 36]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 2, 2, 0], 'outer_gens': [[3, 56, 48, 144], [3, 64, 40, 144], [5, 56, 64, 72], [1, 8, 24, 144]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [6, 289, 1, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 6], [8, 4]], 'representations': {'PC': {'code': 20730854387464337285319, 'gens': [1, 4, 5, 6], 'pres': [6, -2, -2, -2, -3, 3, -3, 12, 31, 963, 201, 964, 730, 5189]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [10461591, 23411674, 23379622, 28816400, 21503846, 7503015]}, 'Perm': {'d': 17, 'gens': [21097629555265, 274476360480, 12501360, 2708754048000, 44735396428800, 3]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [8], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:C_8', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}