Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 18, 12, 12, 9, 3, 9, 3, 3], 'aut_gens': [[1, 2, 18], [1, 122, 152], [1, 92, 110], [1, 96, 14], [1, 98, 160], [49, 2, 18], [1, 14, 78], [63, 2, 18], [61, 2, 18], [121, 62, 132]], 'aut_group': '314928.qw', 'aut_hash': 4753175738684376662, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 314928, 'aut_permdeg': 81, 'aut_perms': [1839154825655298264748974549184890915951169283798214724428853306590534119171874121735271176296362622974655640434981433470, 3398955511597900642120615262185044222727990762302115673609198516774656393169707796647375661370680043841363353787935091440, 5492418544921355315947476567465174074903444098494332132419625343582620418594805515778547247780763402244138565215964063924, 3553529547644637603535188302292773496883483875683757867376542362751212284747595733216167864393458627829980298385059624334, 3131253509577878778706402807723763458287820103242183303573600906966171744373383255632160000275366168159243630024629301077, 2331598984792043588432777005910662358830149273592193434108997903072411470269244347693665724906630968091296300823073131636, 5143881678563409354221789534539088616777463914724565570891784555726093024772989894331419729742161890666032480955810540662, 2188830789745582560961328929421076129207365295079139623134646866017437239008601136331549531433815265748324208827720022491, 511022551874147395059134361513440060917847532656505216896222158327356255230861584791739039160764196211470482181506575049], 'aut_phi_ratio': 5832.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 4, 1], [9, 2, 36, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^5.C_3^3:\\GL(2,3)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 72, 'autcentquo_group': '314928.qw', 'autcentquo_hash': 4753175738684376662, 'autcentquo_nilpotent': False, 'autcentquo_order': 314928, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.C_3^3:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 4], [9, 2, 36]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '162.16', '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'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 16, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 4], [9, 2, 3, 12]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 7, 'exponent': 18, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '18.4', 'hash': 16, 'hyperelementary': 1, 'id': 31819, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 9, 9], 'inner_gens': [[1, 16, 144], [5, 2, 18], [37, 2, 18]], 'inner_hash': 16, 'inner_nilpotent': False, 'inner_order': 162, 'inner_split': False, 'inner_tex': 'C_9:D_9', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 2], [2, 40]], 'label': '162.16', 'linC_count': 486, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 54, 'linQ_dim': 12, 'linQ_dim_count': 54, 'linR_count': 486, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C9:D9', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 4, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 42, 'number_divisions': 18, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 46, 'number_subgroups': 342, 'old_label': None, 'order': 162, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 81], [3, 8], [9, 72]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 36, 'outer_gen_orders': [2, 3, 3, 2, 2, 3, 3, 3], 'outer_gen_pows': [0, 0, 1, 1, 1, 0, 0, 0], 'outer_gens': [[1, 16, 18], [1, 8, 72], [1, 64, 106], [1, 94, 142], [1, 76, 128], [1, 122, 84], [1, 116, 138], [1, 110, 24]], 'outer_group': '1944.3878', 'outer_hash': 3878, 'outer_nilpotent': False, 'outer_order': 1944, 'outer_permdeg': 12, 'outer_perms': [11654160, 3, 331451280, 22544760, 367920, 7344, 18553080, 83825280], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^4:S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 4], [6, 12]], 'representations': {'PC': {'code': 60324725871091535, 'gens': [1, 2, 4], 'pres': [5, -2, -3, -3, -3, -3, 161, 36, 182, 2883, 78, 2704]}, 'GLZq': {'d': 2, 'q': 81, 'gens': [24569524, 536948, 15061924, 533629, 532171]}, 'Perm': {'d': 18, 'gens': [21010450828219, 439659765279861, 717060126290622, 1179784373797433, 1553531044011833]}}, 'schur_multiplier': [9], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9:D_9', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}