Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.36', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 4, 'aut_gen_orders': [4, 2, 4, 2, 2], 'aut_gens': [[1, 2, 16], [41, 15, 25], [1, 6, 24], [33, 55, 48], [1, 22, 48], [1, 39, 49]], 'aut_group': '1024.dia', 'aut_hash': 5313781939793747337, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 1024, 'aut_permdeg': 18, 'aut_perms': [106015508518024, 106015987504578, 1825868876854073, 359890667504209, 1090601421211222], 'aut_phi_ratio': 32.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 4, 1], [4, 1, 2, 2], [4, 1, 4, 1], [4, 2, 4, 2], [8, 2, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^7:D_4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '512.517075', 'autcent_hash': 4817036966848599930, 'autcent_nilpotent': True, 'autcent_order': 512, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4.C_2^5', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 7], [4, 1, 8], [4, 2, 8], [8, 2, 16]], 'center_label': '16.10', 'center_order': 16, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', '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': 103, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['32.12', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [4, 1, 2, 4], [4, 2, 1, 4], [4, 2, 2, 2], [8, 2, 4, 4]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 84, 'exponent': 8, 'exponents_of_order': [6], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '8.5', 'hash': 103, 'hyperelementary': 2, 'id': 131951, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 2, 2], 'inner_gens': [[1, 2, 16], [1, 2, 48], [1, 34, 16]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 8]], 'label': '64.103', 'linC_count': 1536, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 7, 'linQ_degree_count': 96, 'linQ_dim': 7, 'linQ_dim_count': 48, 'linR_count': 64, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C4^2.C4', 'ngens': 3, 'nilpotency_class': 2, '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': 11, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 40, 'number_divisions': 22, 'number_normal_subgroups': 57, 'number_subgroup_autclasses': 35, 'number_subgroup_classes': 69, 'number_subgroups': 81, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 7], [4, 24], [8, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 2, 2, 2], 'outer_gen_pows': [18, 16, 16, 0, 0, 0, 0, 0], 'outer_gens': [[33, 39, 49], [1, 26, 16], [41, 26, 16], [33, 2, 16], [1, 6, 16], [1, 3, 16], [1, 3, 24], [1, 10, 16]], 'outer_group': '256.53380', 'outer_hash': 53380, 'outer_nilpotent': True, 'outer_order': 256, 'outer_permdeg': 12, 'outer_perms': [1583, 167450520, 212340383, 90842407, 16, 127440, 83463960, 90842400], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5:D_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 14, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 6]], 'representations': {'PC': {'code': 279449702422, 'gens': [1, 2, 5], 'pres': [6, 2, 2, 2, 2, 2, 2, 31, 50, 730, 88]}, 'GLZN': {'d': 2, 'p': 12, 'gens': [12417, 8645, 8995, 9889, 2043, 1801]}, 'GLZq': {'d': 2, 'q': 16, 'gens': [12299, 28679, 36873, 4161, 13497, 4225]}, 'Perm': {'d': 14, 'gens': [7272886325, 13902013569, 13902013560, 16, 20765162880, 13902013440]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4^2.C_4', 'transitive_degree': 64, 'wreath_data': None, 'wreath_product': False}