Subgroups — #6099

Order 208.

20 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₁₃	C₂	1	1	yes	maximal, characteristic
2	#1055	C₂	1	2	yes	maximal, complemented
3	C₂²×C₁₃	C₄	1	1	yes	characteristic
4	C₄×C₁₃	C₄	1	1	yes	characteristic
5	C₄×C₁₃	C₂²	1	1	yes	characteristic
6	C₂×C₁₃	—	2	1	no	—
7	C₂×C₁₃	C₂×C₄	1	1	yes	characteristic
8	M₁₆	—	13	1	no	maximal, Sylow
9	C₁₃	M₁₆	1	1	yes	characteristic, complemented, Sylow
10	C₂×C₄	D₁₃	1	1	yes	characteristic
11	C₈	—	13	2	no	—
12	C₂²	Dic₁₃	1	1	yes	characteristic
13	C₄	Dic₁₃	1	1	yes	characteristic
14	C₄	C₂×D₁₃	1	1	yes	characteristic
15	C₂	—	2	1	no	—
16	C₂	C₂×Dic₁₃	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. #1055	C₂	semidirect
9. C₁₃	M₁₆	semidirect

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