Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 936, 'aut_gen_orders': [2, 13, 3], 'aut_gens': [[5065, 45360, 45507, 3], [5309, 45604, 45507, 3], [85802, 80788, 147, 80640], [5162, 45360, 45507, 3]], 'aut_group': '303264.a', 'aut_hash': 8091482650397092313, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 303264, 'aut_permdeg': 27, 'aut_perms': [7819566423133406134565757606, 9064104205874073187461228659, 6315258978654224054845415987], 'aut_phi_ratio': 16848.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 13, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^3:\\GL(3,3)', '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': 936, 'autcentquo_group': '303264.a', 'autcentquo_hash': 8091482650397092313, 'autcentquo_nilpotent': False, 'autcentquo_order': 303264, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^3:\\GL(3,3)', 'cc_stats': [[1, 1, 1], [2, 27, 1], [3, 2, 13]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '54.14', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 14, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 1, 13]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 15, 'exponent': 6, 'exponents_of_order': [3, 1], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '54.14', 'hash': 14, 'hyperelementary': 1, 'id': 131886, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3, 3], 'inner_gens': [[5065, 80640, 80884, 4], [85705, 45360, 45507, 3], [85949, 45360, 45507, 3], [5069, 45360, 45507, 3]], 'inner_hash': 14, 'inner_nilpotent': False, 'inner_order': 54, 'inner_split': True, 'inner_tex': 'C_3^2:S_3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 2], [2, 13]], 'label': '54.14', 'linC_count': 234, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 234, 'linQ_dim': 6, 'linQ_dim_count': 234, 'linR_count': 234, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:S3', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 3, 'number_characteristic_subgroups': 3, 'number_conjugacy_classes': 15, 'number_divisions': 15, 'number_normal_subgroups': 29, 'number_subgroup_autclasses': 8, 'number_subgroup_classes': 56, 'number_subgroups': 212, 'old_label': None, 'order': 54, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 27], [3, 26]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 312, 'outer_gen_orders': [3, 3], 'outer_gen_pows': [5065, 5065], 'outer_gens': [[5065, 80784, 80788, 148], [5065, 45604, 4, 45508]], 'outer_group': '5616.a', 'outer_hash': 4106865526905646958, 'outer_nilpotent': False, 'outer_order': 5616, 'outer_permdeg': 13, 'outer_perms': [1984925728, 5116349529], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': '\\SL(3,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 9, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 4, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 13]], 'representations': {'PC': {'code': 25289607, 'gens': [1, 2, 3, 4], 'pres': [4, -2, -3, -3, -3, 33, 146, 579]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [41715841511539067, 125101736062737953, 41624334336939899, 125101750005088939]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [16278328, 9861463, 11495158, 13069762]}, 'Perm': {'d': 9, 'gens': [5065, 45360, 45507, 3]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:S_3', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}