Subgroups — C₂²⋊#261 #6123

Order 208.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×D₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×#261	C₂	1	2	yes	maximal, complemented
3	C₂²×C₁₃	C₄	1	1	yes	characteristic, complemented
4	C₂×D₁₃	—	2	2	no	—
5	C₂×D₁₃	C₄	1	1	yes	characteristic, complemented
6	C₂×D₁₃	C₂²	1	1	yes	characteristic
7	#261	—	2	2	no	—
8	C₂×C₁₃	—	2	1	no	—
9	C₂×C₁₃	C₂×C₄	1	1	yes	characteristic
10	D₁₃	—	2	1	no	—
11	D₁₃	D₄	1	2	yes	—
12	C₂²⋊C₄	—	13	1	no	maximal, Sylow
13	C₁₃	C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
14	C₂³	—	13	1	no	—
15	C₂×C₄	—	13	2	no	—
16	C₂²	—	13	1	no	—
17	C₂²	—	13	1	no	—
18	C₂²	—	26	2	no	—
19	C₂²	#261	1	1	yes	characteristic, complemented
20	C₄	—	26	2	no	—
21	C₂	—	2	1	no	—
22	C₂	—	13	2	no	—
23	C₂	—	26	1	no	—
24	C₂	C₂×#261	1	1	yes	characteristic

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.