Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 6, 'aut_gen_orders': [6, 6, 6, 6, 6, 2, 2, 6, 2], 'aut_gens': [[1, 2, 8, 96], [17, 2, 156, 96], [65, 54, 136, 96], [69, 54, 280, 96], [65, 54, 8, 96], [17, 2, 108, 192], [69, 6, 280, 192], [69, 2, 184, 192], [81, 54, 204, 96], [81, 2, 184, 192]], 'aut_group': None, 'aut_hash': 6573854338112168884, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2304, 'aut_permdeg': 28, 'aut_perms': [159279137609443049402252094855, 184559422254841706623707419324, 36366499835261711959185346931, 1738635347985453902025599484, 203236666012061831376746292279, 251217460169721972569757575053, 127185206687583838911083274332, 131604119976836632004372822155, 126534367914520949510928277955], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 6, 2, 1], [2, 18, 2, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 2, 1], [4, 6, 2, 3], [4, 9, 4, 1], [6, 2, 1, 6], [6, 4, 1, 3], [6, 12, 2, 1], [12, 4, 2, 2], [12, 4, 4, 1], [12, 12, 2, 3]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times D_6^2.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '36.10', 'autcentquo_hash': 10, 'autcentquo_nilpotent': False, 'autcentquo_order': 36, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3^2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 6, 2], [2, 18, 2], [3, 2, 2], [3, 4, 1], [4, 2, 2], [4, 6, 6], [4, 9, 4], [6, 2, 6], [6, 4, 3], [6, 12, 2], [12, 4, 8], [12, 12, 6]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '72.46', 'commutator_count': 1, 'commutator_label': '18.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 529, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 6, 1, 2], [2, 18, 1, 2], [3, 2, 1, 2], [3, 4, 1, 1], [4, 2, 2, 1], [4, 6, 1, 2], [4, 6, 2, 2], [4, 9, 2, 2], [6, 2, 1, 6], [6, 4, 1, 3], [6, 12, 1, 2], [12, 4, 2, 4], [12, 12, 1, 2], [12, 12, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2688, 'exponent': 12, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '72.46', 'hash': 529, 'hyperelementary': 1, 'id': 107407, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 6, 3], 'inner_gens': [[1, 50, 88, 96], [49, 2, 56, 96], [17, 50, 8, 192], [1, 2, 200, 96]], 'inner_hash': 46, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': True, 'inner_tex': 'S_3\\times D_6', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 20], [4, 12]], 'label': '288.529', 'linC_count': 32, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 8, 'linQ_dim': 6, 'linQ_dim_count': 8, 'linR_count': 8, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6^2.C2^3', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 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': 30, 'number_characteristic_subgroups': 44, 'number_conjugacy_classes': 48, 'number_divisions': 37, 'number_normal_subgroups': 60, 'number_subgroup_autclasses': 160, 'number_subgroup_classes': 215, 'number_subgroups': 850, 'old_label': None, 'order': 288, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 51], [3, 8], [4, 76], [6, 48], [12, 104]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[5, 2, 8, 96], [49, 2, 40, 192], [1, 6, 40, 96], [1, 50, 40, 192], [1, 2, 12, 192]], 'outer_group': '32.51', 'outer_hash': 51, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 10, 'outer_perms': [362880, 5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 14], [4, 13], [8, 2]], 'representations': {'PC': {'code': 847039584615424044655749344515, 'gens': [1, 2, 4, 7], 'pres': [7, -2, -2, -2, -2, -2, -3, -3, 701, 36, 2467, 794, 80, 2804, 102, 2693, 1203]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101732571169127, 125101740314276878, 91655872448018248]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [351637, 40966, 297011, 482473, 513019, 32773, 535529]}, 'Perm': {'d': 14, 'gens': [6314113560, 6354393250, 5173, 11520, 23, 13971242880, 20122058880]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6^2.C_2^3', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}