Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '81.15', '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, 24], 'aut_gens': [[1, 3, 9, 81], [277, 6, 633, 459], [277, 492, 414, 111], [271, 519, 672, 291]], 'aut_group': None, 'aut_hash': 8346939968516695492, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 17006112, 'aut_permdeg': 216, 'aut_perms': [8190417662477846826416693611243929578699280676681057544949400666755755600520128327663743298870405727330051565321881838281429210038283264654000371729379030378540348232518010426436955509337376480369313581573187556911956435409374929464804236684889914839367939797402512922187163507228517183321326663935443430779541507080445801362737300378564174020266363872707744605687828325030663182390021978425020858470652107510353, 103679008173709854801712520014711849089435728990069656937543710405025423515743702008605523688332202763366757237814671630754251497907588573860933038199593620595509257199764923587363401225781306508316806886326450618109351107802456151551450856736519565929160876192009631553104103792976223974564550039414847616277739566266984851346735133341012805984423782846165014153300005145283343644942999325842343003359053340026, 3378006635243833003825380809046067623385779756951224429176180882952884660206363652730818923750083154346209369038441932782727229276158737215665004308756020983180455192777278141874740856201403358385532434175010312294651504551303466757258067866999972447455312351120684362296048255925757303693939881449507553312779455207749659616370958696134092848199013148514531428984315708432840797741356868840090278742177905830759], 'aut_phi_ratio': 34992.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 8, 1], [3, 1, 18, 1], [3, 9, 3, 2], [9, 3, 72, 1], [9, 9, 24, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_3^8.C_3^2.Q_8.S_3^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': None, 'autcent_hash': 720202149919232562, 'autcent_nilpotent': False, 'autcent_order': 354294, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^8.C_3^3.C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '48.29', 'autcentquo_hash': 29, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\GL(2,3)', 'cc_stats': [[1, 1, 1], [3, 1, 26], [3, 9, 6], [9, 3, 72], [9, 9, 48]], 'center_label': '27.5', 'center_order': 27, 'central_product': True, 'central_quotient': '27.5', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 438, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['243.47', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 13], [3, 9, 2, 3], [9, 3, 2, 36], [9, 9, 2, 24]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 9360, 'exponent': 9, 'exponents_of_order': [6], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '81.15', 'hash': 438, 'hyperelementary': 3, 'id': 295411, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [3, 1, 3, 3], 'inner_gens': [[1, 3, 36, 324], [1, 3, 9, 81], [55, 3, 9, 81], [487, 3, 9, 81]], 'inner_hash': 5, 'inner_nilpotent': True, 'inner_order': 27, 'inner_split': False, 'inner_tex': 'C_3^3', 'inner_used': [1, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 81], [3, 72]], 'label': '729.438', '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:C3^2', 'ngens': 4, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 8, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 153, 'number_divisions': 77, 'number_normal_subgroups': 310, 'number_subgroup_autclasses': 30, 'number_subgroup_classes': 538, 'number_subgroups': 1066, 'old_label': None, 'order': 729, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 80], [9, 648]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [6, 6, 6], 'outer_gen_pows': [1, 0, 0], 'outer_gens': [[1, 546, 294, 198], [301, 519, 252, 345], [7, 303, 477, 624]], 'outer_group': None, 'outer_hash': 4023017617088986931, 'outer_nilpotent': False, 'outer_order': 629856, 'outer_permdeg': 39, 'outer_perms': [14296450921913689469848223083037761630831683385, 10674899825941992070325490659619265978254866, 3860109292619327458327883105736882962749027205], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^5.C_3^2.Q_8.S_3^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 40], [6, 36]], 'representations': {'PC': {'code': 411255907025236, 'gens': [1, 2, 3, 5], 'pres': [6, 3, 3, 3, 3, 3, 3, 650, 68, 9724, 118]}, 'Perm': {'d': 21, 'gens': [365292383507267226, 2946224356908198209, 5506460017124075298, 79969861, 7671847075821064261, 7671847075820928000]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3, 3], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9^2:C_3^2', 'transitive_degree': 243, 'wreath_data': None, 'wreath_product': False}