Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [3, 4, 6, 8, 2, 4, 2, 3, 3, 6, 2, 12], 'aut_gens': [[1, 6, 36], [169, 6, 36], [1, 150, 204], [11, 90, 120], [203, 78, 120], [1, 30, 36], [1, 78, 192], [113, 6, 192], [1, 150, 36], [13, 6, 36], [97, 162, 210], [1, 30, 180], [85, 204, 210]], 'aut_group': '20736.mt', 'aut_hash': 370528852606498682, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20736, 'aut_permdeg': 15, 'aut_perms': [649580646960, 27837290880, 386682387841, 181276749366, 19239902640, 46466829360, 2603019000, 25478979120, 107336355840, 299583653455, 20797746480, 460887799991], 'aut_phi_ratio': 288.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 9, 4, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [6, 1, 6, 1], [6, 2, 12, 1], [6, 2, 24, 1], [6, 9, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_6^2:(D_6\\times \\GL(2,3))', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '48.48', 'autcent_hash': 48, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2\\times S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 9, 4], [3, 1, 2], [3, 2, 12], [6, 1, 6], [6, 2, 36], [6, 9, 8]], 'center_label': '12.5', 'center_order': 12, 'central_product': True, 'central_quotient': '18.4', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 175, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['2.1', 2], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 9, 1, 4], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [6, 1, 2, 3], [6, 2, 1, 12], [6, 2, 2, 12], [6, 9, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 91, 'exponent': 6, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '216.175', 'hash': 175, 'hyperelementary': 1, 'id': 50105, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3], 'inner_gens': [[1, 30, 180], [13, 6, 36], [73, 6, 36]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': False, 'inner_tex': 'C_3:S_3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 24], [2, 48]], 'label': '216.175', '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': 'C6^2:C6', 'ngens': 6, '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': 10, 'number_conjugacy_classes': 72, 'number_divisions': 48, 'number_normal_subgroups': 82, 'number_subgroup_autclasses': 42, 'number_subgroup_classes': 232, 'number_subgroups': 624, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 39], [3, 26], [6, 150]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 3, 3, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 1, 1, 0, 0], 'outer_gens': [[131, 132, 162], [5, 90, 120], [5, 6, 36], [127, 114, 162], [1, 174, 120], [1, 102, 48], [1, 90, 132], [19, 6, 36], [127, 6, 36]], 'outer_group': '1152.157851', 'outer_hash': 5440091439875999871, 'outer_nilpotent': False, 'outer_order': 1152, 'outer_permdeg': 10, 'outer_perms': [5, 11520, 368040, 3, 817920, 367920, 5160, 7, 16], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times S_4^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 24], [4, 16]], 'representations': {'PC': {'code': 6879565087467777357141, 'gens': [1, 3, 5], 'pres': [6, -2, -3, -2, -3, -2, -3, 12, 542, 50, 579, 5404, 88, 5189]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [41624327372935579, 24992888769129371, 125101729074819517]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [99161, 40831, 6083, 5941, 5995, 42997]}, 'Perm': {'d': 13, 'gens': [39957120, 744, 1680, 3, 518918400, 403200]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [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_6', 'transitive_degree': 72, 'wreath_data': None, 'wreath_product': False}