{'ambient': '31104.mm', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '31104.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1'], 'contains': ['16.f1', '16.g1', '16.h1', '16.n1', '16.p1', '16.q1', '16.t1', '24.t1', '24.u1', '72.m1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [357364, 200222852997, 45600, 368871234956, 138240, 276480, 287404773090, 268240896693, 19203829174], 'id': 186568989, 'label': '31104.mm.8.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '8.g1', 'projective_image': '31104.mm', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '7776.is'}