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': 18, 'aut_gen_orders': [6, 3, 3, 6, 9, 3], 'aut_gens': [[1, 3, 18, 54], [1, 214, 180, 270], [1, 346, 18, 72], [1, 201, 18, 216], [163, 473, 198, 270], [325, 57, 18, 54], [1, 183, 18, 54]], 'aut_group': '2916.fs', 'aut_hash': 5014850949365468175, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2916, 'aut_permdeg': 81, 'aut_perms': [5363054240547166567691332336592220885643254157955687112888744274370423894561639864001816597407019972315013201993174265292, 3261365180594803390114735014904776493951233826959629885337047433631280389304333385209909902968741351338329886448165159501, 507759219821471180955971309182866065738281490651095282963787207354197959811088287874577258154900215040699187428947175689, 3298978489188873914887229075779135283105581426691308066933552844869545911534021625597998722490403872064081745019227386822, 4237315890331669868039808518900178182227900644095459102944962590559261179945291367962883595237259227241034140139911648818, 3117309144920182956892804488260577913566088443333405355812080164094899150398434340066313842760132638670417380234757527000], 'aut_phi_ratio': 18.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 1, 1], [3, 3, 1, 2], [3, 6, 1, 3], [3, 9, 6, 1], [3, 18, 6, 1], [6, 27, 1, 2], [6, 27, 6, 1], [9, 18, 1, 3]], 'aut_supersolvable': True, 'aut_tex': 'C_3^4.S_3^2', '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': 18, 'autcentquo_group': '2916.fs', 'autcentquo_hash': 5014850949365468175, 'autcentquo_nilpotent': False, 'autcentquo_order': 2916, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^4.S_3^2', 'cc_stats': [[1, 1, 1], [2, 27, 1], [3, 2, 1], [3, 3, 2], [3, 6, 3], [3, 9, 6], [3, 18, 6], [6, 27, 8], [9, 18, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.131', 'commutator_count': 1, 'commutator_label': '27.2', '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': 131, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 27, 1, 1], [3, 2, 1, 1], [3, 3, 2, 1], [3, 6, 1, 1], [3, 6, 2, 1], [3, 9, 2, 3], [3, 18, 2, 3], [6, 27, 2, 4], [9, 18, 1, 1], [9, 18, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 18, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[18, 1, 1]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.12', 'hash': 131, 'hyperelementary': 1, 'id': 154830, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [3, 6, 3, 9], 'inner_gens': [[1, 3, 18, 378], [1, 3, 360, 450], [1, 201, 18, 54], [163, 147, 18, 54]], 'inner_hash': 131, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': True, 'inner_tex': 'C_3^3.(C_3\\times S_3)', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 18, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 18, 'irrep_stats': [[1, 18], [2, 9], [6, 3], [18, 1]], 'label': '486.131', 'linC_count': 1, 'linC_degree': 18, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 1, 'linQ_dim': 18, 'linQ_dim_count': 1, 'linR_count': 1, 'linR_degree': 18, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^3.(C3*S3)', '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': 16, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 31, 'number_divisions': 18, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 82, 'number_subgroups': 600, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 27], [3, 188], [6, 216], [9, 54]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 3], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 16, 360, 54], [1, 4, 342, 414]], 'outer_group': '6.1', 'outer_hash': 1, 'outer_nilpotent': False, 'outer_order': 6, 'outer_permdeg': 3, 'outer_perms': [1, 4], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 27, '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, 1], [12, 1], [18, 1]], 'representations': {'PC': {'code': 4729215162703819659217355951, 'gens': [1, 2, 4, 5], 'pres': [6, -3, -2, -3, -3, 3, -3, 31, 2889, 1383, 11344, 4510, 1996, 118, 3899]}, 'Perm': {'d': 27, 'gens': [15593415494688529566244412, 26980884404807753019028, 376703666922484, 7968932336080457589399552000, 2516538717432286673398548480, 806634631153204606767248884]}}, 'schur_multiplier': [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_3^3.(C_3\\times S_3)', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}