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': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 2, 2, 6, 4, 2, 2, 2], 'aut_gens': [[527, 2613, 2565, 651], [1597, 3607, 2565, 2703], [2603, 2613, 2565, 651], [2603, 1587, 2565, 1945], [1565, 529, 2565, 3997], [527, 3639, 2565, 683], [3641, 2581, 2565, 3997], [1581, 2715, 2565, 1555], [1925, 1965, 2565, 683], [1565, 2613, 2565, 4029], [527, 529, 2565, 3997], [1565, 2581, 2565, 1977]], 'aut_group': '3072.zy', 'aut_hash': 2650167446359451931, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3072, 'aut_permdeg': 18, 'aut_perms': [21, 1133753677056000, 1091914324312322, 23, 16680, 40279703, 756010188839522, 1424057426685370, 1132446130058901, 66865749367103, 127370903], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 3, 2], [2, 4, 6, 1], [4, 4, 2, 1], [4, 4, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5:\\GL(2,\\mathbb{Z}/4)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '512.10494213', 'autcent_hash': 1718285292446712970, 'autcent_nilpotent': True, 'autcent_order': 512, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^9', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 4, 6], [4, 4, 8]], 'center_label': '8.5', 'center_order': 8, 'central_product': False, 'central_quotient': '8.5', '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'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 73, '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, 6], [4, 4, 1, 6], [4, 4, 2, 1]], 'element_repr_type': 'GLZq', 'elementary': 2, 'eulerian_function': 28, 'exponent': 4, 'exponents_of_order': [6], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '8.5', 'hash': 73, 'hyperelementary': 2, 'id': 542645, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 1, 2], 'inner_gens': [[527, 2581, 2565, 1977], [559, 2613, 2565, 2735], [527, 2613, 2565, 651], [1597, 561, 2565, 651]], 'inner_hash': 5, 'inner_nilpotent': True, 'inner_order': 8, 'inner_split': False, 'inner_tex': 'C_2^3', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 14]], 'label': '64.73', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, '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': 'C2^3:D4', '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': 7, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 22, 'number_divisions': 21, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 35, 'number_subgroup_classes': 161, 'number_subgroups': 317, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 31], [4, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 3, 2, 2, 2, 2], 'outer_gen_pows': [2711, 513, 513, 2711, 513, 513, 513, 513], 'outer_gens': [[1597, 683, 2565, 1555], [2603, 2613, 2565, 651], [1565, 3639, 2565, 1945], [2723, 651, 2565, 2747], [2603, 2613, 2565, 2735], [2603, 561, 2565, 651], [1597, 3639, 2565, 651], [559, 2613, 2565, 683]], 'outer_group': '384.20163', 'outer_hash': 20163, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 12, 'outer_perms': [436482448, 136105819, 40723489, 311096608, 136105446, 1881979, 766369, 40723254], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^2\\wr S_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 1]], 'representations': {'PC': {'code': 70678057324850, 'gens': [1, 2, 4, 5], 'pres': [6, 2, 2, 2, 2, 2, 2, 73, 31, 1444, 370, 88]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101743041088268, 91793119260397026, 25038638886382394]}, 'GLZN': {'d': 2, 'p': 12, 'gens': [15963, 19991, 5601, 8645, 2597, 1801]}, 'GLZq': {'d': 2, 'q': 8, 'gens': [529, 2565, 651, 545, 659, 1539]}, 'Perm': {'d': 12, 'gens': [7622045, 5167, 40281247, 11536, 87091216, 11520]}}, 'schur_multiplier': [2, 2, 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_2^3:D_4', 'transitive_degree': 32, 'wreath_data': None, 'wreath_product': False}