{'ambient': '1728.34719', 'aut_centralizer_order': None, 'aut_label': '72.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '24.ba1.a1', '36.bt1.a1', '36.bu1.a1', '36.bv1.a1'], 'contains': ['144.e1.a1', '144.o1.a1', '144.bi1.a1', '144.bi1.a2', '144.cn1.a1', '216.c1.a1'], 'core': '432.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [474, 936, 864, 1200], 'id': 93251299, 'label': '1728.34719.72.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.bg1.a1', 'old_label': '72.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}