{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'id': 218111109, 'label': '49152.nz.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408632641', 'subgroup_hash': 7274808371533043998, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}