Database - gps_subgroup_data ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-02-04T08:45:56.818703

Query: /api/gps_subgroup_data/?_offset=0

Column	Type
ambient	text
aut_centralizer_order	numeric
aut_label	text
aut_quo_index	numeric
aut_stab_index	numeric
aut_weyl_group	text
aut_weyl_index	numeric
centralizer	text
complements	text[]
conjugacy_class_count	numeric
contained_in	text[]
contains	text[]
core	text
coset_action_label	text
count	numeric
diagramx	smallint[]
generators	numeric[]
label	text
mobius_quo	bigint
mobius_sub	bigint
normal_closure	text
normal_contained_in	text[]
normal_contains	text[]
normalizer	text
old_label	text
projective_image	text
quotient_action_image	text
quotient_action_kernel	text
quotient_action_kernel_order	numeric
quotient_fusion	jsonb
short_label	text
subgroup_fusion	integer[]
weyl_group	text

{'ambient': '256.30836', 'aut_centralizer_order': 64, 'aut_label': '4.cs1', '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.e2', '64.do1.f1', '64.do1.e1', '64.do1.f2', '64.do1.h2', '64.do1.g1', '64.do1.h1', '64.do1.g2', '64.dk1.a1', '64.dk1.b1', '64.dk1.c1', '64.dk1.d1', '64.dk1.e1', '64.dk1.f1', '64.dk1.g1', '64.dk1.h1', '64.dk1.m1', '64.dk1.n1', '64.dk1.o1', '64.dk1.p1', '64.dk1.i1', '64.dk1.j1', '64.dk1.k1', '64.dk1.l1', '64.dm1.a1', '64.dm1.e2', '64.dm1.g1', '64.dm1.c2', '64.dm1.c1', '64.dm1.g2', '64.dm1.e1', '64.dm1.a2', '64.dm1.f2', '64.dm1.b1', '64.dm1.d2', '64.dm1.h1', '64.dm1.h2', '64.dm1.d1', '64.dm1.b2', '64.dm1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.i1.a1', '2.q1.a1', '2.x1.a1'], 'contains': ['8.be1.a1', '8.bg1.a1', '8.bl1.a1', '8.do1.a1', '8.dt1.a1', '8.eh1.a1', '8.ff1.a1'], 'core': '4.cs1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2995, 5621, 7666, 551, 2996, 5619, 7660, 553], 'generators': [67, 4, 16], 'id': 30878251, 'label': '256.30836.4.cs1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.cs1.a1', 'normal_contained_in': ['2.q1.a1', '2.i1.a1', '2.x1.a1'], 'normal_contains': ['8.be1.a1', '8.bl1.a1', '8.bg1.a1', '8.do1.a1', '8.dt1.a1', '8.ff1.a1', '8.eh1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.cs1.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.cs1.a1', 'subgroup_fusion': None, 'weyl_group': '32.51'}