Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 6, 6, 6], 'aut_gens': [[1057121, 1097596, 16958662, 44955031, 1315513], [1417571, 11786881, 60695992, 31983691, 53367661], [22929791, 23213266, 49766347, 22842061, 1315513], [1057121, 23213266, 42389027, 44812453, 53367661], [8430811, 1097596, 52385854, 53367661, 31983691], [51799501, 1097596, 29935954, 44812453, 1315513]], 'aut_group': None, 'aut_hash': 5034691163791880808, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 746496, 'aut_permdeg': 36, 'aut_perms': [47512470920346503222214011044878793300624, 354445162188592023808178922166074016950203, 7067102744484623551748259239895832846102, 25375324912089154792503125869750078263018, 303442201003347541957367832314861269218678], 'aut_phi_ratio': 3456.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 1, 1], [2, 162, 1, 1], [3, 2, 4, 2], [3, 4, 16, 1], [4, 18, 1, 1], [6, 2, 4, 2], [6, 4, 16, 1], [6, 18, 8, 1], [12, 18, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.Q_8^2.D_6^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 7409633127320679157, 'autcentquo_nilpotent': False, 'autcentquo_order': 186624, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.Q_8^2.S_3^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 18, 1], [2, 162, 1], [3, 2, 8], [3, 4, 16], [4, 18, 1], [6, 2, 8], [6, 4, 16], [6, 18, 8], [12, 18, 8]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '324.169', 'commutator_count': 1, 'commutator_label': '162.55', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 671, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 1, 1], [2, 162, 1, 1], [3, 2, 1, 8], [3, 4, 1, 16], [4, 18, 1, 1], [6, 2, 1, 8], [6, 4, 1, 16], [6, 18, 2, 4], [12, 18, 2, 4]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 84, 'exponent': 12, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '324.169', 'hash': 671, 'hyperelementary': 1, 'id': 542739, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 6, 3, 3], 'inner_gens': [[1057121, 33902551, 64261787, 44955031, 1315513], [34226576, 1097596, 16958662, 44955031, 1315513], [40871266, 1097596, 16958662, 22842061, 53367661], [1057121, 1097596, 60695992, 44955031, 1315513], [1057121, 1097596, 30513184, 44955031, 1315513]], 'inner_hash': 169, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_3^2:S_3^2', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [2, 33], [4, 32]], 'label': '648.671', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, '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': 'C3^3:D12', '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, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 69, 'number_divisions': 61, 'number_normal_subgroups': 86, 'number_subgroup_autclasses': 92, 'number_subgroup_classes': 728, 'number_subgroups': 8792, 'old_label': None, 'order': 648, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 181], [3, 80], [4, 18], [6, 224], [12, 144]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [6, 6, 8], 'outer_gen_pows': [729001, 729001, 729001], 'outer_gens': [[1057121, 11786881, 9586712, 53367661, 44812453], [1057121, 1097596, 31456742, 44955031, 22699483], [52168051, 22844761, 64261787, 53367661, 22699483]], 'outer_group': None, 'outer_hash': 5364013954645232010, 'outer_nilpotent': False, 'outer_order': 2304, 'outer_permdeg': 16, 'outer_perms': [1321685559730, 8208218629946, 1340330337874], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'Q_8^2.S_3^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 17], [4, 40]], 'representations': {'PC': {'code': 828056881172287192346312959527, 'gens': [1, 2, 3, 6, 7], 'pres': [7, -2, -3, -2, -2, -3, -3, -3, 57, 1388, 58, 1683, 80, 1684, 1027, 3548]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [44591926, 23062678, 39189097, 51759071, 1097596, 45162911, 731701]}, 'Perm': {'d': 16, 'gens': [85705, 87218616240, 806400, 518918400, 1395810662400, 147, 144]}}, 'schur_multiplier': [3, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:D_{12}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}