{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '26244.kk', 'ambient_counter': 271, 'ambient_order': 26244, 'ambient_tex': 'C_3^5.(S_3\\times C_{18})', 'central': False, 'central_factor': False, 'centralizer_order': 81, 'characteristic': True, 'core_order': 6561, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 3, 'id': 181405939, 'label': '26244.kk.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6561.262217', 'subgroup_hash': 8785813721628222331, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^5.C_3^3', 'supersolvable': True, 'sylow': 3}
