Table gps_subgroup_search
Subgroup search data for finite groups
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '113568.h', 'ambient_counter': 8, 'ambient_order': 113568, 'ambient_tex': 'C_{13}^2:(C_4\\times C_{168})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 273, 'counter': 809, 'cyclic': True, 'direct': None, 'hall': 0, 'id': 13183814, 'label': '113568.h.416._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '416.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '416.66', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 416, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{104}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '273.5', 'subgroup_hash': None, 'subgroup_order': 273, 'subgroup_tex': 'C_{273}', 'supersolvable': True, 'sylow': 0}