Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [3, 6, 4, 4, 2, 2, 3, 3, 4, 2], 'aut_gens': [[1, 2, 6], [53, 2, 6], [97, 48, 94], [51, 50, 106], [101, 48, 56], [49, 98, 30], [1, 4, 6], [51, 96, 106], [49, 2, 6], [25, 48, 56], [49, 4, 102]], 'aut_group': '3456.ks', 'aut_hash': 1031439394736209624, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3456, 'aut_permdeg': 15, 'aut_perms': [276595567920, 526107133855, 475369619760, 638201133360, 180595659007, 19239902640, 443650999680, 201348690480, 525548666161, 186814257840], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 2, 1], [3, 2, 4, 1], [4, 1, 2, 1], [4, 9, 2, 1], [6, 2, 4, 1], [8, 1, 4, 1], [8, 9, 4, 1], [12, 2, 8, 1], [24, 2, 16, 1]], 'aut_supersolvable': False, 'aut_tex': '\\GL(2,3).C_2^6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 2, 4], [4, 1, 2], [4, 9, 2], [6, 2, 4], [8, 1, 4], [8, 9, 4], [12, 2, 8], [24, 2, 16]], 'center_label': '8.1', 'center_order': 8, 'central_product': True, 'central_quotient': '18.4', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 85, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['8.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 2, 1, 4], [4, 1, 2, 1], [4, 9, 2, 1], [6, 2, 1, 4], [8, 1, 4, 1], [8, 9, 4, 1], [12, 2, 2, 4], [24, 2, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 336, 'exponent': 24, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '36.13', 'hash': 85, 'hyperelementary': 1, 'id': 27373, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3], 'inner_gens': [[1, 4, 102], [5, 2, 6], [49, 2, 6]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': False, 'inner_tex': 'C_3:S_3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 32]], 'label': '144.85', 'linC_count': 288, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 48, 'linQ_dim': 8, 'linQ_dim_count': 48, 'linR_count': 144, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C24:S3', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 13, 'number_conjugacy_classes': 48, 'number_divisions': 24, 'number_normal_subgroups': 31, 'number_subgroup_autclasses': 30, 'number_subgroup_classes': 66, 'number_subgroups': 178, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 8], [4, 20], [6, 8], [8, 40], [12, 16], [24, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 2, 3, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 1, 1], 'outer_gens': [[1, 2, 70], [73, 2, 78], [73, 2, 42], [73, 2, 6], [1, 52, 56], [1, 96, 58], [1, 52, 10]], 'outer_group': '192.1537', 'outer_hash': 1537, 'outer_nilpotent': False, 'outer_order': 192, 'outer_permdeg': 10, 'outer_perms': [40447, 1, 289, 127, 45360, 367920, 806400], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^3\\times S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 6], [8, 4]], 'representations': {'PC': {'code': 87363226095109326044945, 'gens': [1, 2, 3], 'pres': [6, -2, -3, -2, -2, -2, -3, 49, 1838, 50, 1443, 69, 3604, 88, 3461]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [38250489, 36827620, 5904789, 42948719, 28816400, 40902480]}, 'Perm': {'d': 14, 'gens': [479364480, 6057, 12568, 18498, 6710014080, 3991680]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{24}:S_3', 'transitive_degree': 72, 'wreath_data': None, 'wreath_product': False}