Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [18, 6, 6, 12], 'aut_gens': [[1, 6, 18, 162], [217, 1092, 1044, 1194], [1315, 1032, 936, 1362], [1061, 606, 90, 1218], [29, 600, 306, 780]], 'aut_group': None, 'aut_hash': 4487337728154383443, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 25509168, 'aut_permdeg': 261, 'aut_perms': [928267232222987720242135922989649640268871432874049527880712837364256323030642714594163844906887028645530116148923618267755662010723807699770614913399431622082539906893170916510937182429456426506605108058178115413861739069585737952413189964232391326662260937595186299595186772173161554960579101333354557941580177720912489861438541627569946525057750606642977904379208533834442329744092056696672887285065209879091009123183838936769981645235776750708459568069334671939247420905141048226632158115077063444862207870221420071, 574758061571471893665073663732785037908798623016481439969732052878409557646779820349819386489634173546850432944287395735556461322525015901129486499156488615141081182704806053933302005222412640986037739567920866298242491787829972464288222985243462059277930319604630816485297854045268181515375240401383068256926318211351767307735229579665553765598497353411702959156579841777178525968299117849224116078025912393163391322844246595311952864434379822585352338400090231276897296881429981060886013404859608248356864544458564548, 464370204981925526830084867182236718252249255452965801656811382610574133538169524440917993110864381778183146291716983754266205680579901646271128148606641326337648559053972473260646364735782964385787869630476660079092235986694965576398453747616596961329004010315811180461370309210437020873074269902095664320812360272104013791901476285521975839067108771274999263420957296766390229858866316778561794853967611853072597939909450985590928629362918019417504216934805567483438866181737550089594720231548478648305719517199333757, 177096016554240349720851824921966346048998079826717188340340815126761683183409972113176320375280743722849932519840078722522828396590885995225277186102494072154307432038759815275450248908719340656822842391535615333586873575354822250357488119822100342098072026179583433394936345830527070753174361562639286473516264179176350546588877668550364218928924897030813274764504409932411366282720536038776572468105672065651211652094187629176101645555623005890815145810429485292224931682999356369850423725857998778041171691648220817], 'aut_phi_ratio': 52488.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [3, 2, 2, 2], [3, 2, 9, 1], [3, 9, 2, 1], [3, 18, 2, 1], [6, 243, 2, 1], [9, 6, 18, 2], [9, 18, 6, 2], [9, 18, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^7.C_3^4.C_3:S_3.C_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': 36, 'autcentquo_group': None, 'autcentquo_hash': 4487337728154383443, 'autcentquo_nilpotent': False, 'autcentquo_order': 25509168, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^7.C_3^4.S_3^2.C_2^2', 'cc_stats': [[1, 1, 1], [2, 243, 1], [3, 2, 13], [3, 9, 2], [3, 18, 2], [6, 243, 2], [9, 6, 36], [9, 18, 24]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1458.1514', 'commutator_count': 1, 'commutator_label': '243.31', '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': 1514, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [3, 2, 1, 13], [3, 9, 2, 1], [3, 18, 2, 1], [6, 243, 2, 1], [9, 6, 1, 18], [9, 6, 3, 6], [9, 18, 2, 12]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 93600, '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': '162.53', 'hash': 1514, 'hyperelementary': 1, 'id': 197250, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 3, 9, 9], 'inner_gens': [[1, 12, 576, 324], [13, 6, 18, 162], [1063, 6, 18, 162], [1297, 6, 18, 162]], 'inner_hash': 1514, 'inner_nilpotent': False, 'inner_order': 1458, 'inner_split': False, 'inner_tex': '(C_3\\times C_9^2):C_6', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 39], [6, 36]], 'label': '1458.1514', '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': '(C3*C9^2):C6', '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': 13, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 81, 'number_divisions': 54, 'number_normal_subgroups': 120, 'number_subgroup_autclasses': 88, 'number_subgroup_classes': 509, 'number_subgroups': 6402, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 243], [3, 80], [6, 486], [9, 648]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [6, 6, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[5, 1086, 624, 366], [5, 60, 1122, 786], [1, 606, 750, 168]], 'outer_group': None, 'outer_hash': 850547963412357507, 'outer_nilpotent': False, 'outer_order': 17496, 'outer_permdeg': 36, 'outer_perms': [159774971082308484952073040916340922403878, 83023659214629075711135357154127285059782, 116938833424962895149615462458414694266351], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^5.S_3\\wr C_2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 15], [4, 13], [6, 18], [18, 6]], 'representations': {'PC': {'code': 518156251013557566200910818575499383999, 'gens': [1, 3, 4, 6], 'pres': [7, -2, -3, -3, -3, -3, -3, -3, 14, 254, 16131, 8578, 108, 3784, 13613, 13620, 166, 47634]}, 'Perm': {'d': 21, 'gens': [268966387036997693, 372845604062159585, 2938752479926038221, 2938752479882516013, 43705098, 5257503495096842939, 5257503495096812298]}}, 'schur_multiplier': [3, 3, 9], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_3\\times C_9^2):C_6', 'transitive_degree': 243, 'wreath_data': None, 'wreath_product': False}