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': [2, 6, 12, 4, 12, 12, 3, 3, 3, 3, 3, 3], 'aut_gens': [[40831, 96397, 80926, 40825, 5941], [40831, 78898, 80926, 40825, 5941], [96397, 61399, 24607, 10942, 6049], [43918, 61399, 41041, 94375, 5941], [61399, 26419, 80926, 40825, 5941], [40939, 96505, 45718, 94375, 5941], [41047, 96505, 41041, 24499, 5941], [40831, 96397, 28429, 43912, 5941], [40831, 96397, 98191, 8914, 5941], [40831, 96397, 98191, 5953, 5941], [40831, 96397, 10930, 26521, 5941], [40831, 96397, 7969, 43804, 5941], [40831, 96397, 42949, 61519, 5941]], 'aut_group': '15116544.lw', 'aut_hash': 2381615621057333688, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15116544, 'aut_permdeg': 81, 'aut_perms': [90741343241864240220423886686755512566211314393768130638862983616392276903826900609322736102852702738176080189406026, 12224039273171775780865360180656048301319934635678825424790240646525954930592288362030744644039340782699226211597122, 341331181151988697010827124714939447240399610411525694898653811161375848141635113496959477687103657155086642669292900, 83484099268931229354441523075260474297624236377374884088250470974159287698389565469403075151545058318676010450277280, 993383419084969510328867400462007341103952608852298373045281883813123941085657725799292627704965511554093407165742384536, 3218938675203839089292264528254612740273157596997170886316426222426839375765351463712624477320463333671787801499256216191, 578413259912832901573184403138846183539201721630432410514928757113266739709339259656317063932408630342414285272353911, 1521306258310128493580537588823785100633029099363607690618208202466279661782099604623691619231789780762716560279313066464, 434343710029836884363635122254347900645015629734241721435884632255586733353399916675211917551529129034513995213144017000, 433999335735596737840503477066784970256255047790984095244289246758914374121103614332637994873476251607412481344741110760, 290859691956620219904074651963991104896859318712405666164435733526735359709634672226805158599455985579028119854289285048, 434027934894047587880224493289394564713722542080752426774098756141367933780035318020668208130185229773628215508795571690], 'aut_phi_ratio': 93312.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 1, 24, 1], [3, 3, 72, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^6.(C_3^2:\\GL(2,3)\\times \\GL(2,3))', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 72, 'autcent_group': None, 'autcent_hash': 5874786550790147276, 'autcent_nilpotent': False, 'autcent_order': 314928, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_3^4.C_3^4.Q_8.S_3', '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, 3, 72]], 'center_label': '27.5', 'center_order': 27, 'central_product': True, 'central_quotient': '9.2', 'commutator_count': 1, 'commutator_label': '3.1', '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': 62, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['27.3', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 13], [3, 3, 2, 36]], 'element_repr_type': 'GLZN', 'elementary': 3, 'eulerian_function': 130, 'exponent': 3, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '81.15', 'hash': 62, 'hyperelementary': 3, 'id': 533042, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [1, 1, 3, 3, 1], 'inner_gens': [[40831, 96397, 80926, 40825, 5941], [40831, 96397, 80926, 40825, 5941], [40831, 96397, 80926, 41041, 5941], [40831, 96397, 80710, 40825, 5941], [40831, 96397, 80926, 40825, 5941]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 9, 'inner_split': False, 'inner_tex': 'C_3^2', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 81], [3, 18]], 'label': '243.62', '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*He3', 'ngens': 4, 'nilpotency_class': 2, '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': 99, 'number_divisions': 50, 'number_normal_subgroups': 234, 'number_subgroup_autclasses': 15, 'number_subgroup_classes': 450, 'number_subgroups': 882, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 242]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [8, 8, 6], 'outer_gen_pows': [5833, 5833, 24607], 'outer_gens': [[79006, 61507, 80920, 10828, 5941], [96397, 40831, 77002, 80806, 6049], [26311, 78898, 78055, 7012, 5941]], 'outer_group': None, 'outer_hash': 4345039026778699474, 'outer_nilpotent': False, 'outer_order': 1679616, 'outer_permdeg': 45, 'outer_perms': [13754532269951591502539443789292190143512301279954511167, 40263807807184829051873451995385646081346390305766043750, 91541359313162568792597078106269773575721163887177023741], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^6.Q_8^2.S_3^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, '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, 9]], 'representations': {'PC': {'code': 34816, 'gens': [1, 2, 3, 4, 5], 'pres': [5, -3, 3, 3, 3, -3, 433]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [24505, 5839, 40831, 5941, 96397]}, 'Perm': {'d': 15, 'gens': [19208327187, 114133103524, 206450778484, 280263841440, 280263841200]}}, 'schur_multiplier': [3, 3, 3, 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_3^2\\times \\He_3', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}