Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '108.29', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 6, 'aut_gen_orders': [3, 6, 3, 6, 2, 6, 6], 'aut_gens': [[1, 6], [1, 82], [59, 78], [1, 8], [59, 53], [5, 102], [41, 30], [55, 78]], 'aut_group': '648.608', 'aut_hash': 608, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 648, 'aut_permdeg': 14, 'aut_perms': [44798706000, 18921410647, 33548261040, 14026401391, 1, 18762030001, 18880772407], 'aut_phi_ratio': 18.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [3, 1, 2, 1], [3, 1, 6, 1], [6, 1, 6, 1], [6, 1, 18, 1], [9, 1, 18, 1], [18, 1, 54, 1]], 'aut_supersolvable': True, 'aut_tex': 'S_3\\times C_3^2:D_6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '648.608', 'autcent_hash': 608, 'autcent_nilpotent': False, 'autcent_order': 648, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3\\times C_3^2:D_6', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 1, 8], [6, 1, 24], [9, 1, 18], [18, 1, 54]], 'center_label': '108.29', 'center_order': 108, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 29, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['3.1', 1], ['9.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 1, 2, 4], [6, 1, 2, 12], [9, 1, 6, 3], [18, 1, 6, 9]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4, 'exponent': 18, 'exponents_of_order': [3, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '36.14', 'hash': 29, 'hyperelementary': 1, 'id': 10902, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 6], [1, 6]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 108]], 'label': '108.29', 'linC_count': 1296, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 54, 'linQ_dim': 8, 'linQ_dim_count': 54, 'linR_count': 324, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C6*C18', 'ngens': 5, 'nilpotency_class': 1, 'nilpotent': True, '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': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 108, 'number_divisions': 32, 'number_normal_subgroups': 50, 'number_subgroup_autclasses': 18, 'number_subgroup_classes': 50, 'number_subgroups': 50, 'old_label': None, 'order': 108, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 3], [3, 8], [6, 24], [9, 18], [18, 54]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [3, 6, 3, 6, 2, 6, 6], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 82], [59, 78], [1, 8], [59, 53], [5, 102], [41, 30], [55, 78]], 'outer_group': '648.608', 'outer_hash': 608, 'outer_nilpotent': False, 'outer_order': 648, 'outer_permdeg': 14, 'outer_perms': [44798706000, 18921410647, 33548261040, 14026401391, 1, 18762030001, 18880772407], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3\\times C_3^2:D_6', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3, 9], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 16], [6, 12]], 'representations': {'PC': {'code': 6294602155, 'gens': [1, 3], 'pres': [5, -2, -3, -2, -3, -3, 10, 42, 78]}, 'GLFp': {'d': 2, 'p': 19, 'gens': [13719, 82316]}, 'Perm': {'d': 16, 'gens': [1307674368000, 6227020800, 357120, 79833600, 80884]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6, 18], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6\\times C_{18}', 'transitive_degree': 108, 'wreath_data': None, 'wreath_product': False}