Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [2, 2, 12, 2, 10], 'aut_gens': [[1, 2, 60, 120], [31, 2, 60, 120], [31, 22, 180, 120], [41, 26, 180, 60], [121, 122, 60, 120], [37, 182, 60, 120]], 'aut_group': '960.11361', 'aut_hash': 11361, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 960, 'aut_permdeg': 11, 'aut_perms': [120, 5, 730803, 23, 11975056], 'aut_phi_ratio': 15.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 30, 2, 1], [3, 8, 1, 1], [4, 30, 2, 1], [5, 2, 2, 1], [6, 8, 1, 1], [10, 2, 2, 1], [10, 6, 2, 2], [15, 8, 4, 1], [30, 8, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times F_5\\times S_4', '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': 60, 'autcentquo_group': '480.1189', 'autcentquo_hash': 1189, 'autcentquo_nilpotent': False, 'autcentquo_order': 480, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_5\\times S_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 3, 2], [2, 30, 2], [3, 8, 1], [4, 30, 2], [5, 2, 2], [6, 8, 1], [10, 2, 2], [10, 6, 4], [15, 8, 4], [30, 8, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '120.38', 'commutator_count': 1, 'commutator_label': '60.9', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 197, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['120.38', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 30, 1, 2], [3, 8, 1, 1], [4, 30, 1, 2], [5, 2, 2, 1], [6, 8, 1, 1], [10, 2, 2, 1], [10, 6, 2, 2], [15, 8, 4, 1], [30, 8, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 9, 'exponent': 60, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[6, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '240.197', 'hash': 197, 'hyperelementary': 1, 'id': 144433, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [2, 15, 2, 2], 'inner_gens': [[1, 58, 180, 120], [5, 2, 180, 60], [121, 122, 60, 120], [1, 182, 60, 120]], 'inner_hash': 38, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'C_5:S_4', 'inner_used': [1, 2, 3], 'irrC_degree': 6, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 6, 'irrep_stats': [[1, 4], [2, 14], [3, 4], [6, 4]], 'label': '240.197', 'linC_count': 36, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 7, 'linQ_degree_count': 6, 'linQ_dim': 7, 'linQ_dim_count': 6, 'linR_count': 36, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C10:S4', '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, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 14, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 26, 'number_divisions': 16, 'number_normal_subgroups': 15, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 66, 'number_subgroups': 484, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 67], [3, 8], [4, 60], [5, 4], [6, 8], [10, 28], [15, 32], [30, 32]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 0], 'outer_gens': [[31, 22, 180, 120], [1, 26, 60, 120]], 'outer_group': '8.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [120, 9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [3, 4], [4, 2], [8, 2], [12, 2]], 'representations': {'PC': {'code': 22835376724238626553841439367280, 'gens': [1, 2, 5, 6], 'pres': [6, -2, -2, -3, -5, -2, 2, 697, 31, 1010, 68, 1155, 5404, 2710, 916, 1091, 1637]}, 'GLZN': {'d': 2, 'p': 20, 'gens': [72209, 92011, 8081, 130311, 50274, 12201]}, 'Perm': {'d': 11, 'gens': [363006, 1, 403200, 966, 3669120, 7983360]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}:S_4', 'transitive_degree': 30, 'wreath_data': None, 'wreath_product': False}