{'ambient': '31104.mm', 'aut_centralizer_order': None, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '15552.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '16.e1', '24.m1'], 'contains': ['96.f1', '96.h1', '96.k1', '96.u1', '96.bf1', '96.bm1', '96.ca1', '144.p1', '144.bm1', '144.bn1'], 'core': '1728.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [45600, 224189, 276480, 286482879115, 357364, 368871234956, 281173979999], 'id': 186568920, 'label': '31104.mm.48.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.m1', 'old_label': '48.x1', 'projective_image': '31104.mm', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1', 'subgroup_fusion': None, 'weyl_group': '648.555'}