Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 24], 'aut_gens': [[1, 6, 18, 54], [355, 24, 18, 112], [19, 12, 42, 112], [373, 24, 30, 272]], 'aut_group': None, 'aut_hash': 5872433001225383538, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 23328, 'aut_permdeg': 27, 'aut_perms': [9923717562173550191676350116, 2369452021758587520461921476, 4240808460568927251134348229], 'aut_phi_ratio': 144.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [3, 3, 1, 2], [3, 6, 4, 2], [6, 9, 2, 1], [6, 27, 1, 2], [9, 3, 6, 1], [9, 6, 24, 1], [18, 27, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3:S_3.(C_3^2\\times A_4).D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 3, 'autcent_group': '9.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 9, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '2592.fv', 'autcentquo_hash': 9019849488891309561, 'autcentquo_nilpotent': False, 'autcentquo_order': 2592, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 9, 1], [3, 1, 2], [3, 2, 12], [3, 3, 2], [3, 6, 8], [6, 9, 2], [6, 27, 2], [9, 3, 6], [9, 6, 24], [18, 27, 6]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '162.52', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 233, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['27.4', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [3, 3, 2, 1], [3, 6, 2, 4], [6, 9, 2, 1], [6, 27, 2, 1], [9, 3, 2, 3], [9, 6, 2, 12], [18, 27, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2184, 'exponent': 18, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '162.52', 'hash': 233, 'hyperelementary': 1, 'id': 129746, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 3, 3, 3], 'inner_gens': [[1, 12, 36, 216], [13, 6, 18, 54], [37, 6, 18, 54], [325, 6, 18, 54]], 'inner_hash': 52, 'inner_nilpotent': False, 'inner_order': 162, 'inner_split': False, 'inner_tex': 'C_3^2\\wr C_2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 36], [3, 4], [6, 8]], 'label': '486.233', 'linC_count': None, 'linC_degree': None, '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': False, 'monomial': True, 'name': 'C3^4.C6', 'ngens': 6, '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': 15, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 66, 'number_divisions': 36, 'number_normal_subgroups': 49, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 216, 'number_subgroups': 616, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 9], [3, 80], [6, 72], [9, 162], [18, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 3, 2, 2], 'outer_gen_pows': [0, 0, 3, 0, 3, 3], 'outer_gens': [[1, 6, 18, 112], [1, 42, 36, 54], [1, 30, 36, 54], [1, 6, 18, 56], [1, 36, 6, 54], [1, 48, 30, 54]], 'outer_group': '144.183', 'outer_hash': 183, 'outer_nilpotent': False, 'outer_order': 144, 'outer_permdeg': 7, 'outer_perms': [1, 120, 144, 3, 744, 1680], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_3\\times S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 12], [4, 16], [6, 2], [12, 4]], 'representations': {'PC': {'code': 3642890533681584436319, 'gens': [1, 3, 4, 5], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 218, 867, 6484, 5680, 118]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [44469001, 44962231, 65099771, 879733, 1097596, 731701]}, 'Perm': {'d': 15, 'gens': [25, 13068034560, 106981464240, 188378270640, 144, 3]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4.C_6', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}