Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [4, 2, 12, 24, 6], 'aut_gens': [[6398703360, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [20717187120, 144, 4, 40320327600, 13905647280, 32736493440, 25920604080, 32776415280, 6314117040], [13898309040, 243, 144, 46510410240, 32736493440, 25916970240, 20757824640, 25920604080, 6314117040], [13898309040, 243, 240, 26074097280, 6227025840, 6310483200, 40451402880, 25916970240, 6314117040], [164465280, 244, 3, 160796160, 40364311680, 20757824640, 46591337520, 32736493440, 6314117040], [204387120, 144, 244, 26074097280, 25920604080, 32776415280, 25916970240, 20797746480, 6314117040]], 'aut_group': None, 'aut_hash': 7930658955618180793, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 55296, 'aut_permdeg': 32, 'aut_perms': [181857962804342852576915702152731909, 27904634466143276382005862154662517, 130732369373249113130223081705417830, 46364272764259216478574520744157762, 241080736450148917392842342997509409], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 3, 1], [2, 12, 2, 1], [3, 1, 8, 1], [3, 32, 1, 1], [3, 32, 8, 1], [4, 12, 1, 1], [4, 24, 3, 1], [6, 1, 8, 1], [6, 6, 24, 1], [6, 12, 16, 1], [6, 32, 1, 1], [6, 32, 8, 1], [12, 12, 8, 1], [12, 24, 24, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times Q_8.C_2^4.S_3^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '96.189', 'autcent_hash': 189, 'autcent_nilpotent': False, 'autcent_order': 96, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2\\times \\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '576.8654', 'autcentquo_hash': 8654, 'autcentquo_nilpotent': False, 'autcentquo_order': 576, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\POPlus(4,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 6, 3], [2, 12, 2], [3, 1, 8], [3, 32, 9], [4, 12, 1], [4, 24, 3], [6, 1, 8], [6, 6, 24], [6, 12, 16], [6, 32, 9], [12, 12, 8], [12, 24, 24]], 'center_label': '18.5', 'center_order': 18, 'central_product': True, 'central_quotient': '96.227', 'commutator_count': 1, 'commutator_label': '96.204', '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', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 47481, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['192.1493', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 3], [2, 12, 1, 2], [3, 1, 2, 4], [3, 32, 1, 1], [3, 32, 2, 4], [4, 12, 1, 1], [4, 24, 1, 3], [6, 1, 2, 4], [6, 6, 2, 12], [6, 12, 2, 8], [6, 32, 1, 1], [6, 32, 2, 4], [12, 12, 2, 4], [12, 24, 2, 12]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 6, 'exponent': 12, 'exponents_of_order': [6, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '864.4708', 'hash': 47481, 'hyperelementary': 1, 'id': 319378, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 1, 1, 3, 2, 2, 2, 2, 1], 'inner_gens': [[6398703360, 144, 243, 200718000, 46591337520, 20797746480, 87091200, 83467440, 6314117040], [6398703360, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [6398703360, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [6354396720, 144, 243, 55243440, 20797746480, 46591337520, 83467440, 87091200, 6314117040], [32695855920, 144, 243, 46543719600, 13905647280, 20797746480, 7625520, 6234641280, 6314117040], [6398703360, 144, 243, 14099062320, 13905647280, 20797746480, 6310483200, 83467440, 6314117040], [6438625200, 144, 243, 134709120, 13905647280, 32736493440, 7625520, 83467440, 6314117040], [6398703360, 144, 243, 131085360, 25916970240, 20797746480, 7625520, 83467440, 6314117040], [6398703360, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040]], 'inner_hash': 227, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': True, 'inner_tex': 'C_2^2:S_4', 'inner_used': [1, 4, 5, 7], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 9], [3, 54], [4, 18], [6, 9], [8, 9]], 'label': '1728.47481', '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': 'C3^2*C2^3:S4', 'ngens': 9, '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, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 117, 'number_divisions': 65, 'number_normal_subgroups': 48, 'number_subgroup_autclasses': 138, 'number_subgroup_classes': 676, 'number_subgroups': 4670, 'old_label': None, 'order': 1728, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 43], [3, 296], [4, 84], [6, 632], [12, 672]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [4, 6, 2, 4, 3, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[6398703360, 243, 240, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [204387120, 144, 147, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [6398703360, 144, 4, 55243440, 7625520, 83467440, 13905647280, 20797746480, 6314117040], [6398703360, 3, 244, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [6398703360, 144, 243, 55243440, 25920604080, 32776415280, 13905647280, 20797746480, 6314117040], [204387120, 240, 148, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040], [204387120, 144, 243, 55243440, 7625520, 83467440, 13905647280, 20797746480, 6314117040], [204387120, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040]], 'outer_group': '576.8325', 'outer_hash': 8325, 'outer_nilpotent': False, 'outer_order': 576, 'outer_permdeg': 13, 'outer_perms': [3612198240, 3592643041, 19727286, 1516969440, 30, 1, 6, 482671441], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'D_6\\times \\GL(2,3)', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 9], [3, 6], [4, 6], [6, 25], [8, 9], [12, 4], [16, 4]], 'representations': {'PC': {'code': 3697088111240288462496206863130849560324039269109908, 'gens': [1, 2, 3, 4, 6, 8], 'pres': [9, 2, 3, 2, 2, 3, 2, 3, 2, 2, 73, 18074, 19668, 102, 5837, 32090, 8447, 158, 31543, 40408, 7810, 214]}, 'Perm': {'d': 14, 'gens': [6398703360, 144, 243, 55243440, 13905647280, 20797746480, 7625520, 83467440, 6314117040]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2\\times C_2^3:S_4', 'transitive_degree': 72, 'wreath_data': None, 'wreath_product': False}