{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '12450.a', 'ambient_counter': 1, 'ambient_order': 12450, 'ambient_tex': 'D_{25}\\times C_{249}', 'central': False, 'central_factor': True, 'centralizer_order': 249, 'characteristic': True, 'core_order': 4150, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 830, 'id': 7230987, 'label': '12450.a.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4150.b', 'subgroup_hash': 4, 'subgroup_order': 4150, 'subgroup_tex': 'D_{25}\\times C_{83}', 'supersolvable': True, 'sylow': 0}