{'ambient': '1728.33796', 'aut_centralizer_order': 8, 'aut_label': '12.ce1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '288.1040', 'aut_weyl_index': 48, 'centralizer': '216.y1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1.a1', '6.m1.b1', '6.w1.a1', '6.y1.a1'], 'contains': ['24.p1.b1', '24.bv1.b1', '24.de1.b1', '36.ca1.a1', '36.cg1.b1'], 'core': '24.p1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3964, -1, 6268, -1, 6187, -1, 8318, -1], 'generators': [685, 24, 4, 18, 432, 864], 'id': 92217632, 'label': '1728.33796.12.ce1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.v1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.ce1.b1', 'projective_image': '432.759', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ce1.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}