Database - gps_subgroup_data

Formats: - HTML - YAML - JSON - 2026-10-25T19:07:59.178495

Query: /api/gps_subgroup_data/?_offset=0

Table gps_subgroup_data

Subgroup data for finite groups

Column	Type	Example
ambient	text	'1728.2987'
aut_centralizer_order	numeric	8
aut_label	text	'24.i1'
aut_quo_index	numeric
aut_stab_index	numeric	24
aut_weyl_group	text	'48.51'
aut_weyl_index	numeric	192
centralizer	text	'72.p1.a1'
complements	text[]
conjugacy_class_count	numeric	1
contained_in	text[]	['8.j1.a1', '12.c1.b1', '12.d1.d1', '12.e1.c1']
contains	text[]	['48.e1.b1', '72.q1.a1', '72.t1.b2']
core	text	'144.c1.a1'
coset_action_label	text
count	numeric	6
diagramx	smallint[]	[8095, -1, 7242, -1, 8008, -1, 2848, -1]
generators	numeric[]	[1082, 624, 24, 1296, 864]
label	text	'1728.2987.24.i1.b2'
mobius_quo	bigint
mobius_sub	bigint	0
normal_closure	text	'4.d1.a1'
normal_contained_in	text[]
normal_contains	text[]
normalizer	text	'6.a1.b1'
old_label	text	'24.i1.b2'
projective_image	text	'288.429'
quotient_action_image	text
quotient_action_kernel	text
quotient_action_kernel_order	numeric
quotient_fusion	jsonb
short_label	text	'24.i1.b2'
subgroup_fusion	integer[]
weyl_group	text	'12.4'

{'ambient': '20480.rp', 'aut_centralizer_order': None, 'aut_label': '80.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '320.B', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': None, 'contains': None, 'core': '2560.A', 'coset_action_label': None, 'count': 60, 'diagramx': None, 'generators': [12705, 10240, 4320, 2720], 'id': 165030846, 'label': '20480.rp.80.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.D', 'old_label': '80.dJ', 'projective_image': '5120.dx', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.N', 'subgroup_fusion': None, 'weyl_group': '32.51'}