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

Formats: - HTML - YAML - JSON - 2026-02-04T07:18:11.293648

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': 512, 'aut_label': '8.em1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '64.267', 'aut_weyl_index': 512, 'centralizer': '16.m1.a1', 'complements': ['32.hk1.a1', '32.hk1.z1', '32.hk1.r1', '32.hk1.i1', '32.hk1.j1', '32.hk1.q1', '32.hk1.y1', '32.hk1.b1', '32.hk1.bb1', '32.hk1.c1', '32.hk1.k1', '32.hk1.t1', '32.hk1.s1', '32.hk1.l1', '32.hk1.d1', '32.hk1.ba1', '32.hk1.dn1', '32.hk1.de1', '32.hk1.bq1', '32.hk1.dv1', '32.hk1.du1', '32.hk1.br1', '32.hk1.df1', '32.hk1.dm1', '32.hk1.dc1', '32.hk1.dl1', '32.hk1.dt1', '32.hk1.bo1', '32.hk1.bp1', '32.hk1.ds1', '32.hk1.dk1', '32.hk1.dd1', '32.hk1.cf1', '32.hk1.cm1', '32.hk1.cu1', '32.hk1.bh1', '32.hk1.bg1', '32.hk1.cv1', '32.hk1.cn1', '32.hk1.ce1', '32.hk1.co1', '32.hk1.ch1', '32.hk1.bj1', '32.hk1.cw1', '32.hk1.cx1', '32.hk1.bi1', '32.hk1.cg1', '32.hk1.cp1', '32.hk1.es1', '32.hk1.bz1', '32.hk1.ed1', '32.hk1.ek1', '32.hk1.el1', '32.hk1.ec1', '32.hk1.by1', '32.hk1.et1', '32.hk1.bx1', '32.hk1.eq1', '32.hk1.ei1', '32.hk1.eb1', '32.hk1.ea1', '32.hk1.ej1', '32.hk1.er1', '32.hk1.bw1', '32.hk1.h1', '32.hk1.be1', '32.hk1.w1', '32.hk1.p1', '32.hk1.o1', '32.hk1.x1', '32.hk1.bf1', '32.hk1.g1', '32.hk1.bc1', '32.hk1.f1', '32.hk1.n1', '32.hk1.u1', '32.hk1.v1', '32.hk1.m1', '32.hk1.e1', '32.hk1.bd1', '32.hk1.do1', '32.hk1.dh1', '32.hk1.bt1', '32.hk1.dw1', '32.hk1.dx1', '32.hk1.bs1', '32.hk1.dg1', '32.hk1.dp1', '32.hk1.dj1', '32.hk1.dq1', '32.hk1.dy1', '32.hk1.bv1', '32.hk1.bu1', '32.hk1.dz1', '32.hk1.dr1', '32.hk1.di1', '32.hk1.ck1', '32.hk1.ct1', '32.hk1.db1', '32.hk1.bm1', '32.hk1.bn1', '32.hk1.da1', '32.hk1.cs1', '32.hk1.cl1', '32.hk1.cr1', '32.hk1.ci1', '32.hk1.bk1', '32.hk1.cz1', '32.hk1.cy1', '32.hk1.bl1', '32.hk1.cj1', '32.hk1.cq1', '32.hk1.ev1', '32.hk1.ca1', '32.hk1.ee1', '32.hk1.en1', '32.hk1.em1', '32.hk1.ef1', '32.hk1.cb1', '32.hk1.eu1', '32.hk1.cc1', '32.hk1.ex1', '32.hk1.ep1', '32.hk1.eg1', '32.hk1.eh1', '32.hk1.eo1', '32.hk1.ew1', '32.hk1.cd1'], 'conjugacy_class_count': 1, 'contained_in': ['4.t1.a1', '4.cf1.a1', '4.db1.a1', '4.dx1.a1', '4.em1.a1', '4.fa1.a1', '4.ft1.a1'], 'contains': ['16.k1.a1', '16.x1.a1', '16.ba1.a1', '16.dq1.a1'], 'core': '8.em1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1746, 3019, 8990, 4265, 1747, 3018, 8982, 4274], 'generators': [81, 66, 32], 'id': 30879087, 'label': '256.30836.8.em1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.em1.a1', 'normal_contained_in': ['4.cf1.a1', '4.t1.a1', '4.db1.a1', '4.dx1.a1', '4.em1.a1', '4.fa1.a1', '4.ft1.a1'], 'normal_contains': ['16.k1.a1', '16.ba1.a1', '16.x1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.em1.a1', 'projective_image': '32.51', 'quotient_action_image': '8.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.em1.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}