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

Formats: - HTML - YAML - JSON - 2026-02-04T08:54:00.438955

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': 4096, 'aut_label': '16.g1', 'aut_quo_index': 20160, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 4096, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.q1.a1', '8.bd1.a1', '8.db1.a1', '8.dc1.a1', '8.dd1.a1', '8.de1.a1', '8.df1.a1', '8.dg1.a1', '8.dh1.a1', '8.di1.a1', '8.dj1.a1', '8.dk1.a1', '8.dl1.a1', '8.dm1.a1'], 'contains': ['32.a1.a1', '32.f1.a1', '32.f1.b1', '32.r1.a1', '32.bj1.a1', '32.cw1.a1', '32.do1.a1', '32.er1.a1', '32.fs1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7608, 3219, 6093, 5955, 7612, 3218, 6087, 5968], 'generators': [7, 136, 32, 128], 'id': 30879230, 'label': '256.30836.16.g1.a1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.q1.a1', '8.c1.a1', '8.bd1.a1', '8.db1.a1', '8.dh1.a1', '8.dd1.a1', '8.df1.a1', '8.dg1.a1', '8.de1.a1', '8.dc1.a1', '8.dk1.a1', '8.dl1.a1', '8.dj1.a1', '8.dm1.a1', '8.di1.a1'], 'normal_contains': ['32.a1.a1', '32.f1.b1', '32.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': '32.51', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}