Subgroups — PSL(2,𝔽₁₁) #10620343

Order 660.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	A₅	—	11	2	no	maximal, Hall
2	C₁₁⋊C₅	—	12	1	no	maximal, Hall
3	C₂×D₃	—	55	1	no	maximal, Hall
4	A₄	—	55	1	no	Hall
5	C₁₁	—	12	1	no	Sylow
6	D₅	—	66	1	no	—
7	C₂×C₃	—	55	1	no	—
8	D₃	—	55	2	no	—
9	C₅	—	66	1	no	Sylow
10	C₂²	—	55	1	no	Sylow
11	C₃	—	55	1	no	Sylow
12	C₂	—	55	1	no	—

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, hypocenter	G	C₁
LCS	G
UCS	C₁

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.