Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [8, 4, 8], 'aut_gens': [[6210625, 5484311, 32746561, 5128257, 4572257, 10625677, 10024001, 32085027], [10625677, 7640717, 17779341, 6912475, 12133051, 32746561, 6558349, 5535779], [10752791, 20510487, 30362391, 11487707, 10733304, 8375361, 6431511, 29556216], [11487707, 12570075, 6912475, 17779341, 8327867, 19208257, 16916955, 11815598]], 'aut_group': '3072.bgb', 'aut_hash': 7983714371117797868, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3072, 'aut_permdeg': 24, 'aut_perms': [213354243682994391041122, 497197691147596011620008, 527443102910431391045928], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 12, 2, 1], [2, 24, 1, 1], [3, 128, 1, 1], [4, 12, 1, 1], [4, 24, 1, 2], [4, 48, 2, 1], [8, 48, 1, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4^3:(C_2\\times S_4)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '3072.bgb', 'autcentquo_hash': 7983714371117797868, 'autcentquo_nilpotent': False, 'autcentquo_order': 3072, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_4^3:(C_2\\times S_4)', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 12, 2], [2, 24, 1], [3, 128, 1], [4, 12, 1], [4, 24, 2], [4, 48, 2], [8, 48, 1]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '384.18135', 'commutator_count': 1, 'commutator_label': '192.1023', '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', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 18135, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 12, 1, 2], [2, 24, 1, 1], [3, 128, 1, 1], [4, 12, 1, 1], [4, 24, 1, 2], [4, 48, 1, 2], [8, 48, 1, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 9, 'exponent': 24, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 2]], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '96.227', 'hash': 18135, 'hyperelementary': 1, 'id': 150596, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 4, 2, 2, 4, 2, 2, 3], 'inner_gens': [[6210625, 9805591, 32746561, 5128257, 5587041, 17779341, 10024001, 20914211], [10024001, 5484311, 20290625, 31664193, 33040481, 17779341, 6210625, 5837685], [6210625, 9805591, 32746561, 5128257, 20846689, 17779341, 10024001, 5535779], [6210625, 33474327, 32746561, 5128257, 5587041, 29981325, 10024001, 18753571], [5128257, 32391959, 8941633, 6210625, 4572257, 16916955, 31664193, 19133538], [32746561, 33474327, 6210625, 19208257, 4453879, 10625677, 20290625, 31641327], [6210625, 9805591, 32746561, 5128257, 20846689, 17779341, 10024001, 9586723], [8941633, 32010893, 5128257, 12188737, 19201058, 16916955, 31664193, 32085027]], 'inner_hash': 18135, 'inner_nilpotent': False, 'inner_order': 384, 'inner_split': True, 'inner_tex': 'C_4^2:S_4', 'inner_used': [1, 2, 3, 4, 5, 6, 8], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 2], [2, 1], [3, 6], [6, 1], [12, 2]], 'label': '384.18135', 'linC_count': 2, 'linC_degree': 12, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 2, 'linQ_dim': 12, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C4^2:S4', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 12, 'number_divisions': 12, 'number_normal_subgroups': 8, 'number_subgroup_autclasses': 80, 'number_subgroup_classes': 120, 'number_subgroups': 1200, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 51], [3, 128], [4, 156], [8, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [17043521, 17043521], 'outer_gens': [[32746561, 33474327, 6210625, 8941633, 32025697, 10625677, 20290625, 4520995], [10625677, 7640717, 17779341, 29626843, 29556411, 32746561, 6558349, 32085027]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [1, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [3, 6], [6, 1], [12, 2]], 'representations': {'PC': {'code': 1991679335709088258385818832688287937798566951163646016, 'gens': [1, 2, 3, 4, 5, 7], 'pres': [8, 2, 3, 2, 2, 2, 2, 2, 2, 65, 434, 226, 107, 4804, 1932, 1460, 908, 116, 11525, 4621, 16134, 10094, 1366, 1374, 166, 7695]}, 'GLFp': {'d': 5, 'p': 2, 'gens': [6210625, 5484311, 32746561, 5128257, 4572257, 10625677, 10024001, 32085027]}, 'Perm': {'d': 16, 'gens': [6403179001, 174539660260, 4103606718727, 2789832689287, 11212821043200, 5606234750016, 2789792421136, 1313941673647]}}, 'schur_multiplier': [2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_4^2:S_4', 'transitive_degree': 16, 'wreath_data': None, 'wreath_product': False}