Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 6, 'aut_gen_orders': [2, 3, 2, 3, 3, 3, 3, 2], 'aut_gens': [[24577758, 15477644, 24507118, 2939606, 36731395, 7046328], [43014227, 32319787, 20254942, 32864349, 36731395, 42803789], [7138662, 12564602, 32479219, 20201582, 36731395, 32653863], [24577758, 15477644, 20254942, 2939606, 11225629, 32552094], [24577758, 15477644, 32479219, 2939606, 36731395, 7046328], [24577758, 15477644, 24507118, 2939606, 36731395, 2794152], [24577758, 15477644, 24507118, 2939606, 36731395, 24577806], [24577758, 38113169, 32479219, 2939606, 36731395, 7046328], [20201582, 2414724, 24507118, 32864349, 36731395, 2670152]], 'aut_group': '5832.od', 'aut_hash': 2043999697674719391, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 5832, 'aut_permdeg': 63, 'aut_perms': [1868880048577573253314068272151853182452191819807674465114960121188869188293532433643029, 31978944192023857116454479538487640153356887775245970131484795750034251440984736799852, 1694470570403332968601306223428507482854551830536239576054726019415555918954788835799827, 31978944192023857116454479538487640153356887775245970131484795750034251440256174665560, 1678492865535159756931625760224650854376864553799595116663929306379146631867445700807067, 31981889445290642012176689817345551184253255237730176807230348127277263168749528578033, 31978944192023857139751674672499187132115226432799404575924433487463904405635910821174, 918069643619753828947295739762000027413710569692868877695744145438054318757218250573263], 'aut_phi_ratio': 36.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 3, 2, 1], [3, 6, 1, 1], [3, 6, 2, 2], [3, 6, 6, 1], [3, 9, 6, 1], [3, 18, 6, 1], [6, 9, 2, 1], [6, 27, 2, 1], [6, 27, 6, 1]], 'aut_supersolvable': True, 'aut_tex': '\\He_3^2:C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 3, 'autcent_group': '9.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 9, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '648.555', 'autcentquo_hash': 555, 'autcentquo_nilpotent': False, 'autcentquo_order': 648, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3.S_3^3', 'cc_stats': [[1, 1, 1], [2, 9, 1], [3, 1, 2], [3, 2, 3], [3, 3, 2], [3, 6, 11], [3, 9, 6], [3, 18, 6], [6, 9, 2], [6, 27, 8]], 'center_label': '3.1', 'center_order': 3, 'central_product': False, 'central_quotient': '162.34', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 102, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 3, 2, 1], [3, 6, 1, 1], [3, 6, 2, 5], [3, 9, 2, 3], [3, 18, 2, 3], [6, 9, 2, 1], [6, 27, 2, 4]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 12, 'exponent': 6, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[6, 0, 6]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.12', 'hash': 102, 'hyperelementary': 1, 'id': 154805, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 2, 3, 3, 1, 3], 'inner_gens': [[24577758, 24033196, 24507118, 2939606, 36731395, 24898803], [20201582, 15477644, 24507118, 32864349, 36731395, 20699747], [24577758, 15477644, 24507118, 2939606, 36731395, 24577806], [24577758, 2414724, 24507118, 2939606, 36731395, 32653863], [24577758, 15477644, 24507118, 2939606, 36731395, 7046328], [7138662, 32319787, 6973453, 20201582, 36731395, 7046328]], 'inner_hash': 34, 'inner_nilpotent': False, 'inner_order': 162, 'inner_split': True, 'inner_tex': 'C_3^3:C_6', 'inner_used': [1, 2, 3, 4, 6], 'irrC_degree': 6, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 18], [2, 9], [3, 4], [6, 11]], 'label': '486.102', 'linC_count': 6, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 5, 'linQ_dim': 12, 'linQ_dim_count': 5, 'linR_count': 5, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:C6', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 15, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 42, 'number_divisions': 23, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 83, 'number_subgroup_classes': 153, 'number_subgroups': 832, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 9], [3, 242], [6, 234]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 3, 3], 'outer_gen_pows': [14408200, 14408200, 14408200, 14408200], 'outer_gens': [[24577758, 15477644, 20254942, 2939606, 11225629, 7046328], [7138662, 15477644, 20254942, 2939606, 36731395, 24678894], [24577758, 15477644, 32479219, 2939606, 36731395, 7046328], [24577758, 15477644, 24507118, 2939606, 36731395, 20327817]], 'outer_group': '36.10', 'outer_hash': 10, 'outer_nilpotent': False, 'outer_order': 36, 'outer_permdeg': 6, 'outer_perms': [659, 719, 181, 373], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 9], [4, 4], [6, 3], [12, 5]], 'representations': {'PC': {'code': 3642860151096234488119, 'gens': [1, 2, 3, 5, 6], 'pres': [6, 3, 3, 2, 3, 3, 3, 272, 50, 507, 1456, 652, 1313]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 15477644, 24507118, 2939606, 36731395, 7046328]}, 'Perm': {'d': 18, 'gens': [3402106385166720, 93485145748, 1134035330135490, 376703666887107, 2267507354250690, 711549292653507]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:C_6', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}