Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [4, 42], 'aut_gens': [[1, 2, 4, 24], [84, 135, 88, 121], [84, 122, 93, 108]], 'aut_group': '16128.bn', 'aut_hash': 4884145202955954088, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16128, 'aut_permdeg': 13, 'aut_perms': [2159256984, 247968031], 'aut_phi_ratio': 336.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 7, 1], [2, 3, 8, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [6, 1, 14, 1], [6, 2, 7, 1], [6, 2, 14, 1], [6, 3, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_2^4:\\GL(3,2)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 84, 'autcent_group': '2688.cd', 'autcent_hash': 8270626938983654557, 'autcent_nilpotent': False, 'autcent_order': 2688, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^4:\\GL(3,2)', '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, 3, 8], [3, 1, 2], [3, 2, 3], [6, 1, 14], [6, 2, 21], [6, 3, 16]], 'center_label': '24.15', 'center_order': 24, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 195, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 3], ['3.1', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 3, 1, 8], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [6, 1, 2, 7], [6, 2, 1, 7], [6, 2, 2, 7], [6, 3, 2, 8]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 7800, 'exponent': 6, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '144.195', 'hash': 195, 'hyperelementary': 1, 'id': 27344, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 2, 1, 3], 'inner_gens': [[1, 2, 4, 24], [1, 2, 4, 120], [1, 2, 4, 24], [1, 50, 4, 24]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 24]], 'label': '144.195', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 5, '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': 'C6^2:C2^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 10, 'number_conjugacy_classes': 72, 'number_divisions': 48, 'number_normal_subgroups': 166, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 284, 'number_subgroups': 504, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 31], [3, 8], [6, 104]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 84, 'outer_gen_orders': [3, 2, 2, 7], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[1, 15, 77, 108], [1, 3, 20, 24], [1, 74, 77, 24], [85, 15, 76, 25]], 'outer_group': '2688.cd', 'outer_hash': 8270626938983654557, 'outer_nilpotent': False, 'outer_order': 2688, 'outer_permdeg': 10, 'outer_perms': [2311446, 2805415, 1305528, 2026494], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^4:\\GL(3,2)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 24], [4, 8]], 'representations': {'PC': {'code': 203179200087301, 'gens': [1, 2, 3, 5], 'pres': [6, -2, -2, -2, -3, -2, -3, 50, 1810, 88, 1739]}, 'GLZ': {'b': 3, 'd': 5, 'gens': [141602720900, 705557812721, 706200855362, 706589871143]}, 'GLZN': {'d': 2, 'p': 12, 'gens': [19949, 8645, 18685, 1777, 1733, 9587]}, 'Perm': {'d': 12, 'gens': [40723326, 127, 288, 414, 91450800, 130682160]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 6], '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_2^2', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}