Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '21.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 84, 'aut_gen_orders': [12, 6], 'aut_gens': [[3, 12383400, 40723320, 90882840, 136095240, 7, 16], [8, 9239160, 302376360, 263265840, 136095240, 23, 16], [4, 131772360, 136095240, 40723320, 90882840, 7, 23]], 'aut_group': '4032.cm', 'aut_hash': 2502652231657456920, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 4032, 'aut_permdeg': 32, 'aut_perms': [139056523826564719141505888362728723, 20091471883849703234366046068276192], 'aut_phi_ratio': 21.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 7, 1, 1], [2, 21, 1, 1], [3, 4, 2, 1], [6, 28, 2, 1], [7, 8, 3, 2], [14, 24, 3, 2], [21, 32, 6, 2]], 'aut_supersolvable': False, 'aut_tex': 'F_8:C_3\\times S_4', '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': 84, 'autcentquo_group': '4032.cm', 'autcentquo_hash': 2502652231657456920, 'autcentquo_nilpotent': False, 'autcentquo_order': 4032, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_8:C_3\\times S_4', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 7, 1], [2, 21, 1], [3, 4, 2], [6, 28, 2], [7, 8, 6], [14, 24, 6], [21, 32, 12]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '672.1258', 'commutator_count': 1, 'commutator_label': '32.51', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1258, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.3', 1], ['56.11', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 7, 1, 1], [2, 21, 1, 1], [3, 4, 2, 1], [6, 28, 2, 1], [7, 8, 6, 1], [14, 24, 6, 1], [21, 32, 12, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 64, 'exponent': 42, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[21, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '672.1258', 'hash': 1258, 'hyperelementary': 1, 'id': 320015, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 42, 'inner_gen_orders': [3, 7, 2, 2, 2, 2, 2], 'inner_gens': [[3, 12383400, 40723320, 90882840, 136095240, 16, 23], [3, 12383400, 167410080, 263265840, 90882840, 7, 16], [3, 84566880, 40723320, 90882840, 136095240, 7, 16], [3, 222249720, 40723320, 90882840, 136095240, 7, 16], [3, 298011600, 40723320, 90882840, 136095240, 7, 16], [20, 12383400, 40723320, 90882840, 136095240, 7, 16], [11, 12383400, 40723320, 90882840, 136095240, 7, 16]], 'inner_hash': 1258, 'inner_nilpotent': False, 'inner_order': 672, 'inner_split': True, 'inner_tex': 'A_4\\times F_8', 'inner_used': [1, 2, 3, 6], 'irrC_degree': 21, 'irrQ_degree': 21, 'irrQ_dim': 21, 'irrR_degree': 21, 'irrep_stats': [[1, 21], [3, 7], [7, 3], [21, 1]], 'label': '672.1258', 'linC_count': 21, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 1, 'linQ_dim': 10, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'A4*F8', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 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': 12, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 32, 'number_divisions': 9, 'number_normal_subgroups': 9, 'number_subgroup_autclasses': 38, 'number_subgroup_classes': 44, 'number_subgroups': 544, 'old_label': None, 'order': 672, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 31], [3, 8], [6, 56], [7, 48], [14, 144], [21, 384]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [6], 'outer_gen_pows': [0], 'outer_gens': [[4, 18280200, 263265840, 136095240, 302376360, 7, 23]], 'outer_group': '6.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 6, 'outer_permdeg': 5, 'outer_perms': [28], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_6', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [3, 7], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 1], [3, 1], [6, 1], [7, 1], [12, 1], [14, 1], [18, 1], [21, 1]], 'representations': {'PC': {'code': 3141317026963080766777681601564955552, 'gens': [1, 3, 4, 5, 6, 7], 'pres': [7, -3, -7, -2, 2, -2, 2, 2, 21, 1325, 591, 8824, 1971, 24701, 5892, 8238, 8245]}, 'Perm': {'d': 12, 'gens': [3, 12383400, 40723320, 90882840, 136095240, 7, 16]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [21], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_4\\times F_8', 'transitive_degree': 32, 'wreath_data': None, 'wreath_product': False}