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

Formats: - HTML - YAML - JSON - 2026-02-04T08:55:31.212575

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': '256.29702', 'aut_centralizer_order': 4096, 'aut_label': '16.i1', 'aut_quo_index': 10080, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 16384, 'centralizer': '8.g1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '8.n1', '8.p1', '8.q1', '8.s1', '8.bd1', '8.bg1', '8.bh1', '8.bh2'], 'contains': ['32.b1', '32.s1', '32.bt1', '32.bt2'], 'core': '16.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [4025, 3122, 4014, 3121], 'generators': [65, 160, 128], 'id': 30063338, 'label': '256.29702.16.i1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.i1', 'normal_contained_in': ['8.g1', '8.n1', '8.p1', '8.q1', '8.s1', '8.bd1', '8.bg1', '8.bh1', '8.bh2'], 'normal_contains': ['32.b1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': '32.51', 'quotient_action_image': '8.5', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}