Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [3, 12, 6, 6], 'aut_gens': [[1, 2, 12, 36, 108, 324], [849, 86, 300, 1008, 2052, 2304], [1505, 1722, 2076, 1116, 2196, 2228], [1709, 2050, 96, 36, 108, 2880], [669, 642, 1140, 2016, 1152, 2192]], 'aut_group': None, 'aut_hash': 2096755045510116300, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 34992, 'aut_permdeg': 162, 'aut_perms': [726394012576505188417718971449110508320873355945255941133766598662941940924108332340946709766227050919585889846078465828505911223098448406787719705877856818444292245907161069683622863730639858505806436846590213969583728360926055102579283165684892750066676052407879977548907483518159284661, 4437774384940661013964352727605141402554665020656143744412613734194075600867798484766865808617453271854998031989967660422177768112108047115067545058571895837677265180914230621815320269185824822242559856844593101468841291075940727994697041537265616429040903150978395492106268846060750633159, 563737928398733056426411938181024479892553681242453915075817303137001149941192594810272754691839136691198555797284844128837576944626376966187333813796880563124732951580659701220500402395231744353661748243269704596368965304112639817140490364905957481447589024158027888597876755151855181734, 6631827516723456422189337043116875743464146736728338972653604705192027036263104373465606547452287281295629031213330582149009713826152716368544533823779368365582527680227971570885711027009345142295961607677285393686039793745531403690084223492689221727411038041379152486633588594260138172621], 'aut_phi_ratio': 36.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 3], [3, 2, 1, 1], [3, 6, 2, 2], [3, 18, 2, 2], [3, 18, 3, 1], [3, 36, 2, 2], [3, 108, 2, 1], [6, 162, 1, 1], [6, 162, 2, 4], [6, 162, 3, 1], [9, 108, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^3.C_3^4.C_2^3.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': 36, 'autcentquo_group': None, 'autcentquo_hash': 2096755045510116300, 'autcentquo_nilpotent': False, 'autcentquo_order': 34992, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3.C_3^5.C_6.C_2^3', 'cc_stats': [[1, 1, 1], [2, 81, 3], [3, 2, 1], [3, 6, 4], [3, 18, 7], [3, 36, 4], [3, 108, 2], [6, 162, 12], [9, 108, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '2916.ft', 'commutator_count': 1, 'commutator_label': '729.307', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 150, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 3], [3, 2, 1, 1], [3, 6, 1, 4], [3, 18, 1, 7], [3, 36, 1, 4], [3, 108, 1, 2], [6, 162, 1, 12], [9, 108, 1, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 244944, 'exponent': 18, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[18, 1, 6]], 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '108.39', 'hash': 2956756835277616125, 'hyperelementary': 1, 'id': 415882, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 6, 3, 3, 3, 9], 'inner_gens': [[1, 298, 84, 72, 1188, 816], [1121, 2, 1104, 2016, 2160, 1452], [37, 2186, 12, 36, 108, 576], [73, 1046, 12, 36, 108, 1296], [2161, 1190, 12, 36, 108, 324], [1741, 2078, 1164, 1980, 108, 324]], 'inner_hash': 2956756835277616125, 'inner_nilpotent': False, 'inner_order': 2916, 'inner_split': False, 'inner_tex': '(C_3\\times \\He_3).S_3^2', 'inner_used': [1, 2, 3, 6], 'irrC_degree': 18, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 18, 'irrep_stats': [[1, 4], [2, 10], [4, 4], [6, 8], [12, 4], [18, 6]], 'label': '2916.ft', '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': False, 'metacyclic': False, 'monomial': True, 'name': '(C3*He3).S3^2', 'ngens': 8, '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, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 36, 'number_divisions': 36, 'number_normal_subgroups': 32, 'number_subgroup_autclasses': 286, 'number_subgroup_classes': 622, 'number_subgroups': 20582, 'old_label': None, 'order': 2916, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 243], [3, 512], [6, 1944], [9, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [2233, 0], 'outer_gens': [[2197, 2370, 1200, 1116, 252, 160], [2161, 10, 1200, 1116, 1188, 2268]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 49], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 4], [6, 8], [12, 4], [18, 6]], 'representations': {'PC': {'code': '2076872577050974109807937900633201493894725096861498545352114523337622798911', 'gens': [1, 2, 4, 5, 6, 7], 'pres': [8, 2, 2, 3, 3, 3, 3, 3, 3, 4769, 41, 23522, 2691, 17675, 979, 2884, 40332, 19820, 57029, 51853, 24645, 45702, 40670, 33286, 2718, 2054, 222, 62223]}, 'Perm': {'d': 27, 'gens': [7098199958873729589087277317, 2935422474796656376639425234, 4597171329916926652018054346]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_3\\times \\He_3).S_3^2', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}