Subgroups — PSL(2,𝔽₁₃) #11763977

Order 1092.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃⋊C₃	—	14	1	no	maximal
2	C₁₃⋊C₃	—	14	1	no	Hall
3	D₁₃	—	14	1	no	—
4	D₇	—	78	1	no	maximal
5	C₁₃	—	14	1	no	Sylow
6	C₂×D₃	—	91	1	no	maximal, Hall
7	A₄	—	91	1	no	maximal, Hall
8	C₇	—	78	1	no	Sylow
9	C₂×C₃	—	91	1	no	—
10	D₃	—	91	2	no	—
11	C₂²	—	91	1	no	Sylow
12	C₃	—	91	1	no	Sylow
13	C₂	—	91	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.