{'ambient': '6144.ze', 'aut_centralizer_order': None, 'aut_label': '768.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': [], 'contains': ['1536.B', '1536.Q', '1536.W', '1536.Y', '1536.BC'], 'core': '6144.a1', 'coset_action_label': None, 'count': 768, 'diagramx': None, 'generators': [51090954698471793966, 25852017102968431912193, 25852017097362197157143], 'id': 229891361, 'label': '6144.ze.768.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '768.h1.NC4', 'projective_image': '6144.ze', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.G', 'subgroup_fusion': None, 'weyl_group': '1.1'}