Formats: - HTML - YAML - JSON - 2026-02-04T07:18:11.693912
Query: /api/gps_subgroup_data/?_offset=0
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{'ambient': '256.30836', 'aut_centralizer_order': 64, 'aut_label': '4.fj1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '512.10494213', 'aut_weyl_index': 64, 'centralizer': '32.a1.a1', 'complements': ['64.di1.a1', '64.di1.c1', '64.di1.d1', '64.di1.b1', '64.di1.i1', '64.di1.e1', '64.di1.h1', '64.di1.j1', '64.di1.p1', '64.di1.n1', '64.di1.g1', '64.di1.o1', '64.di1.k1', '64.di1.m1', '64.di1.l1', '64.di1.f1', '64.do1.a1', '64.do1.b2', '64.do1.a2', '64.do1.b1', '64.do1.d1', '64.do1.c2', '64.do1.d2', '64.do1.c1', '64.do1.f1', '64.do1.e2', '64.do1.f2', '64.do1.e1', '64.do1.g1', '64.do1.h2', '64.do1.g2', '64.do1.h1', '64.dj1.a1', '64.dj1.f1', '64.dj1.n1', '64.dj1.i1', '64.dj1.e1', '64.dj1.b1', '64.dj1.j1', '64.dj1.m1', '64.dj1.d1', '64.dj1.g1', '64.dj1.o1', '64.dj1.l1', '64.dj1.h1', '64.dj1.c1', '64.dj1.k1', '64.dj1.p1', '64.dl1.a1', '64.dl1.i1', '64.dl1.m1', '64.dl1.e1', '64.dl1.f1', '64.dl1.n1', '64.dl1.j1', '64.dl1.b1', '64.dl1.k1', '64.dl1.c1', '64.dl1.g1', '64.dl1.o1', '64.dl1.p1', '64.dl1.h1', '64.dl1.d1', '64.dl1.l1'], 'conjugacy_class_count': 1, 'contained_in': ['2.l1.a1', '2.t1.a1', '2.x1.a1'], 'contains': ['8.db1.a1', '8.dc1.a1', '8.dj1.a1', '8.dn1.a1', '8.dt1.a1', '8.dz1.a1', '8.fv1.a1'], 'core': '4.fj1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4083, 4826, 8336, 4520, 4085, 4824, 8329, 4529], 'generators': [19, 20, 64], 'id': 30878940, 'label': '256.30836.4.fj1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.fj1.a1', 'normal_contained_in': ['2.t1.a1', '2.l1.a1', '2.x1.a1'], 'normal_contains': ['8.db1.a1', '8.dc1.a1', '8.dj1.a1', '8.dn1.a1', '8.dt1.a1', '8.dz1.a1', '8.fv1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.fj1.a1', 'projective_image': '32.51', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.fj1.a1', 'subgroup_fusion': None, 'weyl_group': '32.51'}