Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '486.250', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 72, 6], 'aut_gens': [[153730, 85954, 330382, 164690], [374464, 505537, 378952, 341603], [201805, 144763, 507772, 347822], [508015, 91957, 378727, 348065]], 'aut_group': None, 'aut_hash': 8386236818640945532, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1889568, 'aut_permdeg': 126, 'aut_perms': [6908350340959909343525159772729327199524821285232916859886764856943037756742765105312328831646496217797809674433265597588929697330389394087434045099014884383614451604085066538107938367755850445992325894345265184, 19656366423910296183416163060403654217091579396574663985355977476181692330061232641379256163539674290580610021913496160063545400585384940518294824981770206108366354321814125154165078735397141354121120079734591366, 23213493815810268783293309151209574095410788697482115693401894113329329478858231111285148622478719397434293776059242161776457985935008930399901843819627661133115554968440280620165184916529346456011310174444702368], 'aut_phi_ratio': 3888.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 1, 6, 1], [3, 3, 24, 1], [6, 1, 2, 1], [6, 1, 6, 1], [6, 3, 24, 1], [9, 1, 18, 1], [9, 1, 54, 1], [9, 3, 48, 1], [9, 3, 144, 1], [18, 1, 18, 1], [18, 1, 54, 1], [18, 3, 48, 1], [18, 3, 144, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.(C_3^2\\times Q_8).C_3^4.C_2^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 18, 'autcent_group': None, 'autcent_hash': 9045648380693578052, 'autcent_nilpotent': False, 'autcent_order': 39366, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^5.C_3^4.C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '48.29', 'autcentquo_hash': 29, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 8], [3, 3, 24], [6, 1, 8], [6, 3, 24], [9, 1, 72], [9, 3, 192], [18, 1, 72], [18, 3, 192]], 'center_label': '162.23', 'center_order': 162, 'central_product': True, 'central_quotient': '9.2', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 421, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['81.14', 1], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 4], [3, 3, 2, 12], [6, 1, 2, 4], [6, 3, 2, 12], [9, 1, 6, 12], [9, 3, 2, 24], [9, 3, 6, 24], [18, 1, 6, 12], [18, 3, 2, 24], [18, 3, 6, 24]], 'element_repr_type': 'GLZq', 'elementary': 3, 'eulerian_function': 1263600, 'exponent': 18, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '162.55', 'hash': 421, 'hyperelementary': 3, 'id': 528880, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [3, 1, 3, 1], 'inner_gens': [[153730, 85954, 330868, 164690], [153730, 85954, 330382, 164690], [153244, 85954, 330382, 164690], [153730, 85954, 330382, 164690]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 9, 'inner_split': False, 'inner_tex': 'C_3^2', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 486], [3, 108]], 'label': '1458.421', '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': 'C9.C3^2*C18', 'ngens': 7, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [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': 16, 'number_conjugacy_classes': 594, 'number_divisions': 154, 'number_normal_subgroups': 818, 'number_subgroup_autclasses': 72, 'number_subgroup_classes': 986, 'number_subgroups': 1322, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 1], [3, 80], [6, 80], [9, 648], [18, 648]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [24, 24, 24], 'outer_gen_pows': [19684, 19684, 19684], 'outer_gens': [[201562, 256135, 197335, 348065], [196849, 151009, 508015, 171179], [153226, 269329, 201562, 524978]], 'outer_group': None, 'outer_hash': 7187075652081419979, 'outer_nilpotent': False, 'outer_order': 209952, 'outer_permdeg': 21, 'outer_perms': [12934219117314229014, 24939298464629, 2581667054525610506], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3:S_3.C_6^2.C_3^4.C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 38, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 3, 9], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 80], [6, 54], [18, 18]], 'representations': {'PC': {'code': 53283262981667330427, 'gens': [1, 2, 4, 5], 'pres': [7, -3, -3, -3, -3, -2, -3, -3, 50, 14367, 102, 166]}, 'GLZN': {'d': 2, 'p': 54, 'gens': [158437, 3956593, 8268343, 8345645, 3936643, 6412903, 2991835]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [212521, 511784, 196840, 78736, 19693, 87946, 19927]}, 'Perm': {'d': 38, 'gens': [12201962650488652486714904273541269120823, 22805379974763020892031935207425554274356, 33466329784485185960623305484321400730423, 44103971634799185063965867437183453096756, 54741592634909846309090591073678000806400, 65379716172264364790130485734348063221556, 13763753091226345046315979581580902400000000]}}, 'schur_multiplier': [3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3, 18], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9.C_3^2\\times C_{18}', 'transitive_degree': 486, 'wreath_data': None, 'wreath_product': False}