Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 36, 'aut_gen_orders': [18, 6, 6], 'aut_gens': [[1, 18, 162], [451, 1170, 1134], [1075, 630, 810], [617, 1062, 180]], 'aut_group': None, 'aut_hash': 6566802628226313578, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 157464, 'aut_permdeg': 135, 'aut_perms': [72219723512158167125251736411136161270497678690977000891640392832080918340818087140470544390307986502682175338218441438480705479307390277330854770932654374271328732796284700172931583705807459056378162038028147768470996941656909402, 78211034273877288583791773907849769324407000307766835018959221530322760470417566581459523464348264987936597870519434399994466069565361544279105597967803231608682739646819756720247092447530119781408191301314476321753041051141100293, 234688355403887365133324295003669257091950172473931992555245236703755037297524900269476650012472792352178364366170007203657926191331339840755012582893813544203745922601702873513708377314739978872858837146117661258722186180800651281], 'aut_phi_ratio': 324.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 2, 4], [3, 2, 4, 1], [6, 81, 2, 1], [9, 6, 6, 4], [9, 6, 12, 1], [9, 9, 6, 1], [9, 18, 6, 2], [9, 18, 12, 1], [18, 81, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9^2.C_3^3.C_6^2.C_2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 3, 'autcent_group': '3.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 3, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': None, 'autcentquo_hash': 6058086793834862908, 'autcentquo_nilpotent': False, 'autcentquo_order': 52488, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_9^2.C_3^3.C_6.C_2^2', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 1, 2], [3, 2, 12], [6, 81, 2], [9, 6, 36], [9, 9, 6], [9, 18, 24], [18, 81, 6]], 'center_label': '3.1', 'center_order': 3, 'central_product': False, 'central_quotient': '486.154', 'commutator_count': 1, 'commutator_label': '81.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 703, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [6, 81, 2, 1], [9, 6, 1, 6], [9, 6, 2, 6], [9, 6, 3, 2], [9, 6, 6, 2], [9, 9, 6, 1], [9, 18, 6, 4], [18, 81, 6, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 9828, 'exponent': 18, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '54.13', 'hash': 703, 'hyperelementary': 1, 'id': 197842, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 9, 9], 'inner_gens': [[1, 576, 324], [1063, 18, 162], [1297, 18, 162]], 'inner_hash': 154, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': False, 'inner_tex': 'C_9^2:C_6', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 36], [6, 36]], 'label': '1458.703', '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': 'C9^2:C18', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, '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': 19, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 90, 'number_divisions': 34, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 77, 'number_subgroup_classes': 176, 'number_subgroups': 1294, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 26], [6, 162], [9, 702], [18, 486]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [6, 3, 6, 3], 'outer_gen_pows': [3, 0, 0, 0], 'outer_gens': [[17, 1170, 1152], [7, 18, 162], [17, 72, 360], [1, 18, 216]], 'outer_group': '324.165', 'outer_hash': 165, 'outer_nilpotent': False, 'outer_order': 324, 'outer_permdeg': 12, 'outer_perms': [40285267, 174550867, 134709409, 583], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^2\\times S_3^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 9], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 6], [4, 4], [6, 8], [12, 10], [18, 2], [36, 2]], 'representations': {'PC': {'code': 518156251013557561941471459887296255423, 'gens': [1, 4, 6], 'pres': [7, -2, -3, -3, -3, -3, -3, -3, 14, 50, 16131, 8578, 108, 3784, 13613, 13620, 166, 47634]}, 'Perm': {'d': 27, 'gens': [406665166381959503439615293, 901515221878151210046421985, 1321797224235701432689819781, 1739946505261379683314907989, 2161930180817315212760482931, 2161930180817315212760532306, 2565668797168511145722688000]}}, 'schur_multiplier': [9], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [18], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9^2:C_{18}', 'transitive_degree': 162, 'wreath_data': None, 'wreath_product': False}