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

Formats: - HTML - YAML - JSON - 2026-02-04T07:18:42.171784

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.b1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '64.267', 'aut_weyl_index': 512, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.a1', '4.i1.a1', '4.j1.a1', '4.k1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '16.bi1.a1', '16.bi1.b1', '16.cp1.a1', '16.cp1.b1', '16.dw1.a1', '16.dw1.b1', '16.ep1.a1', '16.fw1.a1', '16.fw1.b1', '16.he1.a1', '16.il1.a1', '16.il1.b1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9628, 8488, 3911, 6386, 9632, 8485, 3908, 6399], 'generators': [2, 4, 136, 128, 32], 'id': 30878958, 'label': '256.30836.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.h1.a1', '4.k1.a1', '4.j1.a1', '4.l1.a1', '4.i1.a1', '4.m1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '32.51', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}