{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '708588.ir', 'ambient_counter': 226, 'ambient_order': 708588, 'ambient_tex': 'C_3^7.C_3\\wr C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 59049, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'id': 244264830, 'label': '708588.ir.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6127100435953899114, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^7.C_3^3', 'supersolvable': True, 'sylow': 0}
