Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 48, 'aut_gen_orders': [8, 6, 12], 'aut_gens': [[10461591, 32997211, 23411674, 42212730, 42494788, 29213543, 14659948], [23556038, 11440160, 14572277, 3644059, 14605060, 6037275, 23557782], [7949150, 32714518, 14519751, 34858262, 14710079, 6161337, 30797638], [23838204, 8468745, 3552227, 30467133, 42442322, 40905305, 34768817]], 'aut_group': '20736.x', 'aut_hash': 5863683207372618949, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20736, 'aut_permdeg': 324, 'aut_perms': [47774563967674406042253175850639906522964722183973643885828237135646200675212446623800571716080104772029205216852638083418357044366264257400219547759257827221514042573712210519719908000447288056281388122021531298316002543581792802855794306030475280496308790688657572041457620958585620357580583550688356052399769735779404207577019740157258365436512797890840960894115881888796312430963558740580673238703706088154776272729090287765435578841907555986259088638975165921156576636538838379805758488008660810677795791724702717782307499900574639958471035334730428975532852744158075753648405704973085787348552302480127401720921672548267235434568942644767575990794773836625122866564462, 63202234465218718501144054161979151816135906283208594467397408059236715869922746593246815974998899977329005180612906675357749307396176900691789583338950726503635836540446666807227089114406757403246711266646696752960101424837847335427682881294384251320467270060363149187203503136370068752201842350592849369250148310988875552364676461834183886879373105131901924517057870005091247912327366077195258014990521636764677161491094321759925806730162472249994442740542890587329886762860757132065861107248168482622321063096122854362161066126448246776641883621449189959451285910501918865935200228260415230397498002617371326259130634887187169331350300613464167621611886806481747984972304, 138721862873516047702119086033314124877994900059073269339154774890567225263170668734880909331414054230174814711510411505122677665883705639862528298544658755802339365941573300843240800255729984424350378660373417011531619260518947022269342470788116377667789598459592671356695073107127274625311338584687632009562067008087878888653611192553873894158629351390609610879351365984913912982329591564151882699165772901642034922656413774726333365936453091734251074309138466087215061793834827377375993876758775867300301986210003542643918673986197191321979638774829492927599620686522757306400880919577175899743477333861961643491216770132912819856974443988612456849773180832540192397957320], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 8, 2, 1], [3, 8, 8, 1], [4, 81, 2, 1], [8, 81, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_9\\wr C_2:C_2', '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': 48, 'autcentquo_group': '20736.x', 'autcentquo_hash': 5863683207372618949, 'autcentquo_nilpotent': False, 'autcentquo_order': 20736, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9\\wr C_2:C_2', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 8, 10], [4, 81, 2], [8, 81, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '648.712', 'commutator_count': 1, 'commutator_label': '81.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 712, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 8, 1, 10], [4, 81, 2, 1], [8, 81, 4, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 12, 'exponent': 24, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 8]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '648.712', 'hash': 712, 'hyperelementary': 1, 'id': 319987, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [3, 8, 3, 3, 3, 4, 2], 'inner_gens': [[10461591, 17089164, 23411674, 42212730, 42494788, 17858912, 34906619], [23444493, 32997211, 14854413, 3250429, 14801920, 40673893, 7702270], [10461591, 19849998, 23411674, 42212730, 42494788, 24503393, 26267005], [10461591, 38644415, 23411674, 42212730, 42494788, 40811623, 7472627], [10461591, 17535299, 23411674, 42212730, 42494788, 40778804, 7899040], [42212730, 11545805, 3447199, 34858262, 34910677, 29213543, 14659948], [34858262, 17535299, 26212087, 7949150, 7666975, 29213543, 14659948]], 'inner_hash': 712, 'inner_nilpotent': False, 'inner_order': 648, 'inner_split': False, 'inner_tex': 'C_3^2:F_9', 'inner_used': [1, 2], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [8, 10]], 'label': '648.712', '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': 'C3^2:F9', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 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': 6, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 18, 'number_divisions': 14, 'number_normal_subgroups': 7, 'number_subgroup_autclasses': 31, 'number_subgroup_classes': 128, 'number_subgroups': 2936, 'old_label': None, 'order': 648, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 81], [3, 80], [4, 162], [8, 324]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [2, 2, 8], 'outer_gen_pows': [7899040, 14408200, 7899040], 'outer_gens': [[23556038, 12383240, 34910677, 30552451, 30749221, 21983969, 23643010], [10461591, 8344094, 14801920, 7949150, 14572277, 1877642, 7472627], [10605928, 12383240, 26264610, 7752290, 34576096, 13340089, 26404816]], 'outer_group': '32.40', 'outer_hash': 40, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 10, 'outer_perms': [1, 1593384, 496446], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times \\SD_{16}', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [4, 1], [8, 10]], 'representations': {'PC': {'code': 61307021891920334757632218933627838630383288719, 'gens': [1, 4, 5, 6, 7], 'pres': [7, -2, -2, -2, -3, 3, -3, 3, 14, 36, 1123, 346, 129, 2244, 291, 438, 18149, 6060, 1531, 28230, 12361, 5312]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [10461591, 32997211, 23411674, 42212730, 42494788, 29213543, 14659948]}, 'Perm': {'d': 12, 'gens': [399081600, 135354714, 3633865, 43590963, 79879200, 80788, 79914243]}}, 'schur_multiplier': [3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [8], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:F_9', 'transitive_degree': 12, 'wreath_data': None, 'wreath_product': False}