Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.51', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 42, 'aut_gen_orders': [6, 14], 'aut_gens': [[16784385, 101521990, 16979969, 68817028, 1938688, 16849409, 16880641, 84383621], [16881153, 118592839, 16948225, 51844803, 101585478, 16849409, 16912897, 68852868], [16945153, 51745987, 16817665, 84153221, 34182594, 16979969, 16948225, 101453894]], 'aut_group': '688128.bi', 'aut_hash': 3039706533391825331, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 688128, 'aut_permdeg': 80, 'aut_perms': [13396347712416937746516208439108090430173680860182257005289956640941011959428386309747026007831966668024381263186405874, 54426467517091005268294851063997407059167849746613838974953759665683943551652706638820937482634295484722310693916301406], 'aut_phi_ratio': 5376.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 7, 1], [2, 4, 14, 1], [2, 8, 3, 1], [4, 8, 21, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^{12}.C_{14}:A_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': None, 'autcent_hash': 3946057693156513511, 'autcent_nilpotent': True, 'autcent_order': 32768, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{15}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 21, 'autcentquo_group': '21.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 21, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_7:C_3', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 4, 14], [2, 8, 3], [4, 8, 21]], 'center_label': '8.5', 'center_order': 8, 'central_product': False, 'central_quotient': '32.51', 'commutator_count': 1, 'commutator_label': '8.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 46157, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 4, 1, 14], [2, 8, 1, 3], [4, 8, 1, 21]], 'element_repr_type': 'GLFq', 'elementary': 2, 'eulerian_function': 476160, 'exponent': 4, 'exponents_of_order': [8], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '32.51', 'hash': 46157, 'hyperelementary': 2, 'id': 93634, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 1, 2, 2, 1, 1, 2], 'inner_gens': [[16784385, 101585478, 16979969, 68785796, 2038016, 16849409, 16880641, 84319621], [16978945, 101521990, 16979969, 68853380, 1938688, 16849409, 16880641, 84383621], [16784385, 101521990, 16979969, 68817028, 1938688, 16849409, 16880641, 84383621], [17013249, 101553222, 16979969, 68817028, 2070272, 16849409, 16880641, 84189061], [16945153, 101521990, 16979969, 68686468, 1938688, 16849409, 16880641, 84383621], [16784385, 101521990, 16979969, 68817028, 1938688, 16849409, 16880641, 84383621], [16784385, 101521990, 16979969, 68817028, 1938688, 16849409, 16880641, 84383621], [16848385, 101521990, 16979969, 68753540, 1938688, 16849409, 16880641, 84383621]], 'inner_hash': 51, 'inner_nilpotent': True, 'inner_order': 32, 'inner_split': True, 'inner_tex': 'C_2^5', 'inner_used': [1, 2, 4, 5, 8], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [4, 14]], 'label': '256.46157', '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': 'C2^5:C2^3', 'ngens': 8, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 5, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 46, 'number_divisions': 46, 'number_normal_subgroups': 403, 'number_subgroup_autclasses': 73, 'number_subgroup_classes': 1648, 'number_subgroups': 5063, 'old_label': None, 'order': 256, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 87], [4, 168]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 42, 'outer_gen_orders': [7, 6], 'outer_gen_pows': [16784385, 16781313], 'outer_gens': [[16978945, 118529863, 16880641, 101553734, 68852868, 16817665, 16912897, 51646659], [16784897, 68754052, 16948225, 51679939, 34182594, 16817665, 16979969, 1938688]], 'outer_group': '21504.bp', 'outer_hash': 5385334024956809412, 'outer_nilpotent': False, 'outer_order': 21504, 'outer_permdeg': 22, 'outer_perms': [211798041582424527351, 512164798383892555593], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^{10}:C_7:C_3', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 24, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 32], [4, 14]], 'representations': {'PC': {'code': 12389868118267742598268785744, 'gens': [1, 2, 3, 4, 5, 7], 'pres': [8, 2, 2, 2, 2, 2, 2, 2, 2, 1924, 1132, 1460, 116, 11206, 6510, 3158, 166]}, 'GLFq': {'d': 3, 'q': 8, 'gens': [16784385, 101521990, 16979969, 68817028, 1938688, 16849409, 16880641, 84383621]}, 'Perm': {'d': 24, 'gens': [29645551604542253553919, 57551323693113285247793, 79140122006718417926400, 110261561163181339162247, 136525096875771419561436, 111745636804617587229499, 84811344950403599633280, 138824189357015259820800]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^5:C_2^3', 'transitive_degree': 32, 'wreath_data': None, 'wreath_product': False}