Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '243.31', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 6, 'aut_exponent': 72, 'aut_gen_orders': [6, 6, 12, 4, 3, 3, 3, 3, 3, 3, 3, 3], 'aut_gens': [[1, 3, 27], [2, 186, 207], [2, 93, 132], [1, 222, 52], [1, 109, 8], [181, 183, 27], [1, 21, 189], [1, 175, 207], [100, 4, 47], [91, 4, 191], [100, 166, 47], [10, 165, 108], [19, 93, 207]], 'aut_group': '629856.lf', 'aut_hash': 9120032771072783391, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 629856, 'aut_permdeg': 65, 'aut_perms': [1023561438233204727306998525206406952798557479635474802680559633383884637900571955381794080, 1650413416996166131692117522391172814941241413361425414051079568079598038554546929493952095, 4376671015498473525274882040914042269778091072312205746480132338315074740975961782807022048, 1047419192740014414553317984120052979491894764095780594940595102422237974647261561467642888, 13910244249264788944998469978205423530573490257392756408389713819528891183494087663042504, 1222934822600510437989348604368, 1430127066712564314807868062499023625797267599198917146535903183257763015886307422877533454, 420376921588431233932508956394474631235112049548138369753007060238010519240103518569753368, 547546083618930691785369798333962458052076106068589637511822454261166889994692027132752304, 12211385033284770681305012506706410250285508008727800603104118083798201961207390569753368, 14193990048533629578632503298517248334495631056441785569450845472486687709275776274356726, 14162521302753289466132576643583823247322198182405362234803251520227993605017130690905224], 'aut_phi_ratio': 3888.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 8, 1], [3, 1, 18, 1], [9, 1, 216, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.(C_2\\times C_3^4:\\GL(2,3))', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 72, 'autcent_group': '629856.lf', 'autcent_hash': 9120032771072783391, 'autcent_nilpotent': False, 'autcent_order': 629856, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_3^4.(C_2\\times C_3^4:\\GL(2,3))', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [3, 1, 26], [9, 1, 216]], 'center_label': '243.31', 'center_order': 243, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 31, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['9.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 13], [9, 1, 6, 36]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 13, 'exponent': 9, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '27.5', 'hash': 31, 'hyperelementary': 3, 'id': 50407, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1], 'inner_gens': [[1, 3, 27], [1, 3, 27], [1, 3, 27]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 243]], 'label': '243.31', 'linC_count': 1364688, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4374, 'linQ_dim': 14, 'linQ_dim_count': 4374, 'linR_count': 170586, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3*C9^2', 'ngens': 3, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 4, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 243, 'number_divisions': 50, 'number_normal_subgroups': 126, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 126, 'number_subgroups': 126, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 26], [9, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 72, 'outer_gen_orders': [6, 6, 12, 4, 3, 3, 3, 3, 3, 3, 3, 3], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[2, 186, 207], [2, 93, 132], [1, 222, 52], [1, 109, 8], [181, 183, 27], [1, 21, 189], [1, 175, 207], [100, 4, 47], [91, 4, 191], [100, 166, 47], [10, 165, 108], [19, 93, 207]], 'outer_group': '629856.lf', 'outer_hash': 9120032771072783391, 'outer_nilpotent': False, 'outer_order': 629856, 'outer_permdeg': 65, 'outer_perms': [1023561438233204727306998525206406952798557479635474802680559633383884637900571955381794080, 1650413416996166131692117522391172814941241413361425414051079568079598038554546929493952095, 4376671015498473525274882040914042269778091072312205746480132338315074740975961782807022048, 1047419192740014414553317984120052979491894764095780594940595102422237974647261561467642888, 13910244249264788944998469978205423530573490257392756408389713819528891183494087663042504, 1222934822600510437989348604368, 1430127066712564314807868062499023625797267599198917146535903183257763015886307422877533454, 420376921588431233932508956394474631235112049548138369753007060238010519240103518569753368, 547546083618930691785369798333962458052076106068589637511822454261166889994692027132752304, 12211385033284770681305012506706410250285508008727800603104118083798201961207390569753368, 14193990048533629578632503298517248334495631056441785569450845472486687709275776274356726, 14162521302753289466132576643583823247322198182405362234803251520227993605017130690905224], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^4.(C_2\\times C_3^4:\\GL(2,3))', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 21, 'pgroup': 3, 'primary_abelian_invariants': [3, 9, 9], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 13], [6, 36]], 'representations': {'PC': {'code': 4128778, 'gens': [1, 2, 4], 'pres': [5, 3, 3, 3, 3, 3, 36, 78]}, 'GLZN': {'d': 2, 'p': 38, 'gens': [54881, 54879, 384111, 493857, 247669]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [140464, 196840, 203896, 78736, 19927]}, 'Perm': {'d': 21, 'gens': [2978882210304000, 357120, 4865804016353280000, 711549292608000, 80884]}}, 'schur_multiplier': [3, 3, 9], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 9, 9], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\times C_9^2', 'transitive_degree': 243, 'wreath_data': None, 'wreath_product': False}