{'ambient': '792.42', 'aut_centralizer_order': 6, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '440.42', 'aut_weyl_index': 36, 'centralizer': '22.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '3.a1.a1'], 'contains': ['12.a1.b1', '12.b1.a1', '12.b1.c1', '18.a1.c1', '66.b1.c1'], 'core': '6.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5930, 6564, 5896, 832, 5333, 2580, 7652, 8257], 'generators': [1, 528, 72, 2], 'id': 110906206, 'label': '792.42.6.a1.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.c1', 'normal_contained_in': ['2.a1.c1', '3.a1.a1'], 'normal_contains': ['12.a1.b1', '12.b1.c1', '12.b1.a1', '18.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.c1', 'projective_image': '132.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.c1', 'subgroup_fusion': None, 'weyl_group': '22.1'}