{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1889568.ij', 'ambient_counter': 218, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.C_6', 'central': False, 'central_factor': False, 'centralizer_order': 19683, 'characteristic': True, 'core_order': 729, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'id': 158783017, 'label': '1889568.ij.2592.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2592.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2592.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 929290681673135987, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_6^3):C_6', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.504', 'subgroup_hash': 504, 'subgroup_order': 729, 'subgroup_tex': 'C_3^6', 'supersolvable': True, 'sylow': 0}
