Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '64.260', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 420, 'aut_gen_orders': [12, 70, 12], 'aut_gens': [[297011, 27451, 27311, 27013, 783149], [297011, 513469, 783319, 783737, 27511], [297461, 783479, 513479, 513637, 513589], [783029, 513469, 27761, 513817, 783539]], 'aut_group': None, 'aut_hash': 2599079116499701836, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1290240, 'aut_permdeg': 64, 'aut_perms': [40417275602318616534353664770512953089635897522803820529930392908177784695757393220538397, 7739040962335637502667124071744488660917718133358536406598724472024535905165323540840532, 123879998036930808577088311703415295591188216362487670861013833190712899656484487251388260], 'aut_phi_ratio': 5040.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 7, 1], [2, 3, 8, 1], [2, 5, 1, 1], [2, 5, 7, 1], [2, 15, 8, 1], [3, 2, 1, 1], [4, 5, 8, 2], [4, 15, 8, 2], [5, 4, 1, 1], [6, 2, 7, 1], [6, 10, 1, 1], [6, 10, 7, 1], [10, 4, 7, 1], [10, 12, 8, 1], [12, 10, 8, 2], [15, 8, 1, 1], [30, 8, 7, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_2^6.\\PSL(2,7)\\times F_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 84, 'autcent_group': '10752.bb', 'autcent_hash': 6417384533392091029, 'autcent_nilpotent': False, 'autcent_order': 10752, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^6:\\GL(3,2)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.36', 'autcentquo_hash': 36, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 3, 8], [2, 5, 8], [2, 15, 8], [3, 2, 1], [4, 5, 16], [4, 15, 16], [5, 4, 1], [6, 2, 7], [6, 10, 8], [10, 4, 7], [10, 12, 8], [12, 10, 16], [15, 8, 1], [30, 8, 7]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '120.36', 'commutator_count': 1, 'commutator_label': '15.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 11377, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 3], ['20.3', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 3, 1, 8], [2, 5, 1, 8], [2, 15, 1, 8], [3, 2, 1, 1], [4, 5, 2, 8], [4, 15, 2, 8], [5, 4, 1, 1], [6, 2, 1, 7], [6, 10, 1, 8], [10, 4, 1, 7], [10, 12, 1, 8], [12, 10, 2, 8], [15, 8, 1, 1], [30, 8, 1, 7]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 185702400, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '960.11377', 'hash': 11377, 'hyperelementary': 2, 'id': 544594, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [1, 1, 2, 4, 15], 'inner_gens': [[297011, 27451, 27311, 27013, 783149], [297011, 27451, 27311, 27013, 783149], [297011, 27451, 27311, 27013, 783449], [297011, 27451, 27311, 27013, 783869], [297011, 27451, 27011, 27373, 783149]], 'inner_hash': 36, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'S_3\\times F_5', 'inner_used': [3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 64], [2, 32], [4, 16], [8, 8]], 'label': '960.11377', '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': 'C2^2*D6*F5', 'ngens': 8, '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, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 21, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 120, 'number_divisions': 96, 'number_normal_subgroups': 882, 'number_subgroup_autclasses': 152, 'number_subgroup_classes': 2724, 'number_subgroups': 13984, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 191], [3, 2], [4, 320], [5, 4], [6, 94], [10, 124], [12, 160], [15, 8], [30, 56]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 84, 'outer_gen_orders': [7, 7], 'outer_gen_pows': [27001, 27001], 'outer_gens': [[513469, 513019, 783169, 513007, 297491], [783479, 783029, 783619, 513007, 513889]], 'outer_group': '10752.bb', 'outer_hash': 6417384533392091029, 'outer_nilpotent': False, 'outer_order': 10752, 'outer_permdeg': 16, 'outer_perms': [7073899272447, 5666632857298], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^6:\\GL(3,2)', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 4], 'quasisimple': False, 'rank': 5, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 32], [2, 32], [4, 24], [8, 8]], 'representations': {'PC': {'code': 4492774340465766361790246732158368577990688775, 'gens': [1, 2, 3, 4, 6], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 91, 4245, 1373, 1861, 141, 9878, 3166, 934, 222, 3103, 3111]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [27301, 27007, 27019, 297011, 27451, 783619, 27181, 513019]}, 'Perm': {'d': 14, 'gens': [522587527, 136, 40327, 7, 40336, 1037836800, 840, 6785856000]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^2\\times D_6\\times F_5', 'transitive_degree': 120, 'wreath_data': None, 'wreath_product': False}