Subgroups — C₂×#261 #1066

Order 104.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃	C₂	1	1	yes	maximal, characteristic
2	#261	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₁₃	C₄	1	1	yes	characteristic, complemented
4	D₁₃	C₄	1	1	yes	characteristic, complemented
5	D₁₃	C₂²	1	1	yes	characteristic
6	C₁₃	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
7	C₂×C₄	—	13	1	no	maximal, Sylow
8	C₂²	—	13	1	no	—
9	C₄	—	13	2	no	—
10	C₂	—	13	1	no	—
11	C₂	—	13	1	no	—
12	C₂	#261	1	1	yes	characteristic, direct product factor

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

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