Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '36.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 8, 8], 'aut_gens': [[1, 6, 144, 432], [437, 682, 288, 864], [267, 646, 864, 288], [1097, 1172, 1152, 720], [1093, 824, 1152, 1008]], 'aut_group': None, 'aut_hash': 8786330501354108419, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6912, 'aut_permdeg': 38, 'aut_perms': [67193214701799457214848198431288964783874542, 301076424372447345730453301828787478492516754, 393952844133509422815991384448857473292040774, 332945062717043651707083121284606228688881330], 'aut_phi_ratio': 16.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 12, 1, 1], [3, 1, 8, 1], [3, 8, 1, 1], [3, 8, 8, 1], [4, 18, 1, 1], [4, 36, 1, 1], [6, 9, 8, 1], [6, 12, 8, 1], [6, 24, 1, 1], [6, 24, 8, 1], [8, 18, 1, 2], [12, 18, 8, 1], [12, 36, 8, 1], [24, 18, 8, 2]], 'aut_supersolvable': False, 'aut_tex': '(C_3\\times C_6).(D_4\\times S_4).C_2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '48.29', 'autcent_hash': 29, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '144.182', 'autcentquo_hash': 182, 'autcentquo_nilpotent': False, 'autcentquo_order': 144, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:C_2', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 12, 1], [3, 1, 8], [3, 8, 9], [4, 18, 1], [4, 36, 1], [6, 9, 8], [6, 12, 8], [6, 24, 9], [8, 18, 2], [12, 18, 8], [12, 36, 8], [24, 18, 16]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '144.182', 'commutator_count': 1, 'commutator_label': '36.9', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3510, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['144.182', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 12, 1, 1], [3, 1, 2, 4], [3, 8, 1, 1], [3, 8, 2, 4], [4, 18, 1, 1], [4, 36, 1, 1], [6, 9, 2, 4], [6, 12, 2, 4], [6, 24, 1, 1], [6, 24, 2, 4], [8, 18, 2, 1], [12, 18, 2, 4], [12, 36, 2, 4], [24, 18, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 48, 'exponent': 24, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3510', 'hash': 3510, 'hyperelementary': 1, 'id': 175883, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 8, 3, 3], 'inner_gens': [[1, 114, 144, 864], [37, 6, 1152, 1008], [1, 726, 144, 432], [865, 1158, 144, 432]], 'inner_hash': 182, 'inner_nilpotent': False, 'inner_order': 144, 'inner_split': True, 'inner_tex': 'F_9:C_2', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 36], [2, 27], [8, 18]], 'label': '1296.3510', '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': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:SD16', 'ngens': 8, '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, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 18, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 81, 'number_divisions': 40, 'number_normal_subgroups': 48, 'number_subgroup_autclasses': 84, 'number_subgroup_classes': 185, 'number_subgroups': 1404, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 21], [3, 80], [4, 54], [6, 384], [8, 36], [12, 432], [24, 288]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [2, 3], 'outer_gen_pows': [0, 0], 'outer_gens': [[5, 8, 288, 864], [53, 58, 144, 432]], 'outer_group': '48.29', 'outer_hash': 29, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 8, 'outer_perms': [36887, 21251], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': '\\GL(2,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 17], [4, 5], [8, 6], [16, 8]], 'representations': {'PC': {'code': 197949893735698911509618857050639637444915248700743, 'gens': [1, 3, 7, 8], 'pres': [8, -2, -3, -2, -2, -2, -3, -3, 3, 16, 2738, 66, 2691, 91, 116, 10774, 4062, 710, 55303, 10775, 799, 2343]}, 'Perm': {'d': 15, 'gens': [13986206640, 19320900480, 147, 3, 7355945520, 20797746480, 106978152960, 188857635120]}}, 'schur_multiplier': [3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:\\SD_{16}', 'transitive_degree': 72, 'wreath_data': None, 'wreath_product': False}