{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.936', 'ambient_counter': 936, 'ambient_order': 800, 'ambient_tex': 'C_{20}^2:C_2', 'central': False, 'central_factor': True, 'centralizer_order': 200, 'characteristic': False, 'core_order': 16, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'id': 111031342, 'label': '800.936.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}