{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '9072.b', 'ambient_counter': 2, 'ambient_order': 9072, 'ambient_tex': 'S_3\\times {}^2G(2,3)', 'central': True, 'central_factor': False, 'centralizer_order': 9072, 'characteristic': True, 'core_order': 1, 'counter': 144, 'cyclic': True, 'direct': True, 'hall': 1, 'id': 69021776, 'label': '9072.b.9072.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9072.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '9072.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6831087576112572302, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 9072, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'S_3\\times {}^2G(2,3)', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0', 'C4'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
