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, 12, 2, 2, 2], 'aut_gens': [[805, 815, 2792, 2821, 2597], [1831, 3865, 2792, 2821, 2597], [2849, 3865, 2792, 2821, 2597], [805, 815, 349, 801, 2597], [3875, 1637, 968, 801, 2821], [805, 2859, 1004, 2821, 2597], [805, 815, 716, 2821, 2597], [805, 2827, 2792, 2821, 2597]], 'aut_group': '768.1088763', 'aut_hash': 1088763, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 768, 'aut_permdeg': 12, 'aut_perms': [167880, 127440, 40723326, 212299932, 16, 7, 90842400], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 3, 1, 2], [2, 3, 2, 1], [2, 6, 2, 1], [2, 12, 2, 1], [3, 8, 1, 1], [4, 12, 2, 3], [6, 8, 1, 1], [6, 8, 2, 1], [6, 8, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^6:D_6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '24.12', 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 3, 4], [2, 6, 2], [2, 12, 2], [3, 8, 1], [4, 12, 6], [6, 8, 7]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '48.48', 'commutator_count': 1, 'commutator_label': '24.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1488, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['96.195', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 3, 1, 4], [2, 6, 1, 2], [2, 12, 1, 2], [3, 8, 1, 1], [4, 12, 1, 6], [6, 8, 1, 3], [6, 8, 2, 2]], 'element_repr_type': 'GLZq', 'elementary': 1, 'eulerian_function': 2520, 'exponent': 12, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '96.226', 'hash': 1488, 'hyperelementary': 1, 'id': 530755, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 3, 2, 2], 'inner_gens': [[805, 2827, 2792, 2821, 2597], [2849, 815, 349, 801, 2597], [805, 2300, 2792, 2597, 801], [805, 2859, 1004, 2821, 2597], [805, 815, 716, 2821, 2597]], 'inner_hash': 48, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': False, 'inner_tex': 'C_2\\times S_4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 10], [3, 8], [6, 2]], 'label': '192.1488', 'linC_count': 24, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 5, 'linQ_degree_count': 8, 'linQ_dim': 5, 'linQ_dim_count': 8, 'linR_count': 8, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2*GL(2,Z/4)', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 16, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 28, 'number_divisions': 26, 'number_normal_subgroups': 35, 'number_subgroup_autclasses': 140, 'number_subgroup_classes': 271, 'number_subgroups': 1134, 'old_label': None, 'order': 192, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 55], [3, 8], [4, 72], [6, 56]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [513, 513, 513, 513], 'outer_gens': [[1831, 1853, 2792, 2821, 2597], [805, 815, 968, 2821, 2597], [805, 1853, 349, 801, 2597], [805, 815, 349, 801, 2597]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [288, 7, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 10, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [3, 8], [4, 2], [6, 2]], 'representations': {'PC': {'code': 18306840470777316391987088205060, 'gens': [1, 2, 4, 6, 7], 'pres': [7, -2, -2, -2, -2, -3, -2, 2, 85, 36, 570, 80, 571, 3036, 530, 411, 909, 181]}, 'GLZ': {'b': 3, 'd': 5, 'gens': [141602011816, 330663445672, 706460729520]}, 'GLFq': {'d': 4, 'q': 4, 'gens': [1075659969, 1087456257, 1074808321, 42968769, 1087603969, 1074873345, 1083196673]}, 'GLZq': {'d': 2, 'q': 8, 'gens': [1831, 2853, 1827, 523, 545, 1539, 1628]}, 'Perm': {'d': 10, 'gens': [40446, 289, 55, 288, 45360, 367920, 806400]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times \\GL(2,\\mathbb{Z}/4)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}