{'ambient': '1760.415', 'aut_centralizer_order': 14080, 'aut_label': '880.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': ['2.c1.a1', '2.c1.d1', '2.c1.b1', '2.c1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['80.a1.b1', '176.a1.b1', '440.a1.a1'], 'contains': ['1760.a1.a1'], 'core': '880.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3396, 7683, 9024, 2627, 2213, 4300, 1940, 4063], 'generators': [1], 'id': 106394160, 'label': '1760.415.880.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '880.a1.b1', 'normal_contained_in': ['80.a1.b1', '440.a1.a1'], 'normal_contains': ['1760.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '880.a1.b1', 'projective_image': '880.30', 'quotient_action_image': '1.1', 'quotient_action_kernel': '880.30', 'quotient_action_kernel_order': 880, 'quotient_fusion': None, 'short_label': '880.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}