Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 16, 'aut_gen_orders': [8, 4, 8, 4, 8, 2], 'aut_gens': [[1, 2, 4], [33, 27, 37], [1, 62, 61], [33, 58, 20], [33, 11, 60], [1, 26, 36], [33, 2, 36]], 'aut_group': '1024.dij', 'aut_hash': 598280662459352130, 'aut_nilpotency_class': 4, 'aut_nilpotent': True, 'aut_order': 1024, 'aut_permdeg': 32, 'aut_perms': [49303369196055213457667724086572906, 177008948780726963880552453850136258, 56990515217765629208286429192000164, 23641155735469361377082517203418395, 48649067522344632591201493561835228, 33169418224095037378996625162619766], 'aut_phi_ratio': 32.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 8, 4, 1], [4, 2, 1, 2], [8, 2, 2, 2], [16, 2, 8, 1]], 'aut_supersolvable': True, 'aut_tex': '(C_2^2\\times C_8).C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 8, 'autcentquo_group': '32.43', 'autcentquo_hash': 43, 'autcentquo_nilpotent': True, 'autcentquo_order': 32, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_8:C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 8, 4], [4, 2, 2], [8, 2, 4], [16, 2, 8]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '16.7', 'commutator_count': 1, 'commutator_label': '8.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 186, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['32.18', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 8, 1, 4], [4, 2, 1, 2], [8, 2, 2, 2], [16, 2, 4, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 84, 'exponent': 16, 'exponents_of_order': [6], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.1', 'frattini_quotient': '8.5', 'hash': 186, 'hyperelementary': 2, 'id': 132026, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 8, 'inner_gen_orders': [1, 2, 8], 'inner_gens': [[1, 2, 4], [1, 2, 60], [1, 10, 4]], 'inner_hash': 7, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': False, 'inner_tex': 'D_8', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 14]], 'label': '64.186', 'linC_count': 32, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 9, 'linQ_degree_count': 8, 'linQ_dim': 9, 'linQ_dim_count': 8, 'linR_count': 32, 'linR_degree': 3, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2*D16', 'ngens': 3, 'nilpotency_class': 4, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 9, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 22, 'number_divisions': 14, 'number_normal_subgroups': 25, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 49, 'number_subgroups': 137, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 35], [4, 4], [8, 8], [16, 16]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 4, 4], 'outer_gen_pows': [16, 4, 8, 0], 'outer_gens': [[33, 35, 4], [33, 6, 4], [33, 7, 5], [1, 3, 20]], 'outer_group': '64.206', 'outer_hash': 206, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 12, 'outer_perms': [90842400, 90842423, 261314649, 47991000], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 2], [8, 2]], 'representations': {'PC': {'code': 1180605043711004, 'gens': [1, 2, 3], 'pres': [6, -2, 2, 2, -2, -2, -2, 548, 50, 681, 69, 730, 88]}, 'GLZN': {'d': 2, 'p': 34, 'gens': [687293, 134603, 908763, 1297065, 39883, 39337]}, 'GLZq': {'d': 2, 'q': 16, 'gens': [12339, 4129, 36873, 39119, 4161, 4225]}, 'Perm': {'d': 18, 'gens': [361229975377207, 85740144663967, 816553097098801, 1202407402679670, 1580385119566350, 816553097098800]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [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\\times D_{16}', 'transitive_degree': 32, 'wreath_data': None, 'wreath_product': False}