Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '243.61', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 936, 'aut_gen_orders': [3, 3, 13, 3, 6, 3, 3, 3, 3, 2], 'aut_gens': [[1, 3, 9, 27], [1, 3, 9, 203], [82, 165, 90, 189], [16, 88, 82, 45], [1, 3, 9, 200], [163, 3, 9, 71], [163, 3, 171, 27], [1, 3, 9, 112], [1, 3, 9, 189], [163, 84, 90, 189], [86, 3, 94, 27]], 'aut_group': '49128768.a', 'aut_hash': 6829789377147908262, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 49128768, 'aut_permdeg': 83, 'aut_perms': [1908345068815238937354193556108802943040289821207358369935475573264099584066390679277349104248117090040053137229561290129040, 10241132782696443443314086248258889552096493367769102167529388866584357555382939086758781906325662260631567071779659212225560, 37035478869123520278377129942438887003188538286868829049428777569364336622967055678522614782155528800714990680513870212518360, 1908273499386474982262768441594129856578615409553425176453440429965773946845216973078966775339189437147906883606088029592526, 13204444168824595010106793923441791852908411783546426115544095271979631773747166353248380937167628242599290599697832280947729, 13817847732840502609743152163801392573762640848045621179000516637462697127650716857308509022251237468762506907771731735866264, 64858960289985940498755964324416063228982061190913650903130660063114833994513293279877632171543220707079198020035819792334, 1966316342552749727902267370651089539934028368898663442298455346878080420882197656983932990174027785751270680500101743172200, 7409010302580350760616116636121941329104605923302002027837948965100526332858784624136965851626547461345101456949318786112648, 268866802959050458010886843533925454282204483500860054481959047180565072333878513949201756680960901618043809561139011657808], 'aut_phi_ratio': 303264.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 1, 78, 1], [9, 1, 162, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.(C_2\\times C_3^3:\\GL(3,3))', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 936, 'autcent_group': '49128768.a', 'autcent_hash': 6829789377147908262, 'autcent_nilpotent': False, 'autcent_order': 49128768, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_3^4.(C_2\\times C_3^3:\\GL(3,3))', '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, 80], [9, 1, 162]], 'center_label': '243.61', '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': 61, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 3], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 40], [9, 1, 6, 27]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 40, 'exponent': 9, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '81.15', 'hash': 61, 'hyperelementary': 3, 'id': 50428, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1, 1], 'inner_gens': [[1, 3, 9, 27], [1, 3, 9, 27], [1, 3, 9, 27], [1, 3, 9, 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': '243.61', 'linC_count': None, 'linC_degree': 4, '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': 'C3^3*C9', 'ngens': 4, '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': 68, 'number_normal_subgroups': 396, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 396, 'number_subgroups': 396, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 80], [9, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 936, 'outer_gen_orders': [3, 3, 13, 3, 6, 3, 3, 3, 3, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 3, 9, 203], [82, 165, 90, 189], [16, 88, 82, 45], [1, 3, 9, 200], [163, 3, 9, 71], [163, 3, 171, 27], [1, 3, 9, 112], [1, 3, 9, 189], [163, 84, 90, 189], [86, 3, 94, 27]], 'outer_group': '49128768.a', 'outer_hash': 6829789377147908262, 'outer_nilpotent': False, 'outer_order': 49128768, 'outer_permdeg': 83, 'outer_perms': [1908345068815238937354193556108802943040289821207358369935475573264099584066390679277349104248117090040053137229561290129040, 10241132782696443443314086248258889552096493367769102167529388866584357555382939086758781906325662260631567071779659212225560, 37035478869123520278377129942438887003188538286868829049428777569364336622967055678522614782155528800714990680513870212518360, 1908273499386474982262768441594129856578615409553425176453440429965773946845216973078966775339189437147906883606088029592526, 13204444168824595010106793923441791852908411783546426115544095271979631773747166353248380937167628242599290599697832280947729, 13817847732840502609743152163801392573762640848045621179000516637462697127650716857308509022251237468762506907771731735866264, 64858960289985940498755964324416063228982061190913650903130660063114833994513293279877632171543220707079198020035819792334, 1966316342552749727902267370651089539934028368898663442298455346878080420882197656983932990174027785751270680500101743172200, 7409010302580350760616116636121941329104605923302002027837948965100526332858784624136965851626547461345101456949318786112648, 268866802959050458010886843533925454282204483500860054481959047180565072333878513949201756680960901618043809561139011657808], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_3^4.(C_2\\times C_3^3:\\GL(3,3))', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 18, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3, 9], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 40], [6, 27]], 'representations': {'PC': {'code': 16392, 'gens': [1, 2, 3, 4], 'pres': [5, -3, 3, 3, 3, -3, 78]}, 'GLZN': {'d': 2, 'p': 54, 'gens': [157483, 158437, 211285, 7272037, 2991835]}, 'GLZq': {'d': 2, 'q': 27, 'gens': [196840, 19687, 203896, 19693, 19927]}, 'Perm': {'d': 18, 'gens': [357120, 711374856192000, 174356582400, 79833600, 80884]}}, 'schur_multiplier': [3, 3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3, 9], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3\\times C_9', 'transitive_degree': 243, 'wreath_data': None, 'wreath_product': False}