{'ambient': '576.3648', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 32, 'centralizer': '24.a1.a1', 'complements': ['144.q1.a1', '144.k1.a1', '144.k1.b1', '144.t1.a1', '144.r1.b1', '144.r1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.c1.a1', '8.d1.b1', '12.k1.c1', '12.s1.c1'], 'core': '4.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9308, 7255, 8541, 2533, 6994, 7894, 8194, 8253], 'generators': [5, 192, 288, 144, 16, 24], 'id': 108809008, 'label': '576.3648.4.h1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.b1', '8.c1.a1', '8.d1.b1', '12.k1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.c1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}