Subgroups — #88102

Order 416.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊#261	C₂	1	2	yes	maximal
2	C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
3	C₂×#261	—	2	2	no	—
4	C₄×D₁₃	C₂²	1	1	yes	characteristic
5	C₈×C₁₃	C₄	1	1	yes	characteristic, complemented
6	#1055	C₄	1	1	yes	characteristic, complemented
7	C₂×D₁₃	D₄	1	1	yes	characteristic
8	#261	—	4	2	no	—
9	C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
10	Dic₁₃	Q₈	1	1	yes	characteristic
11	#107	—	13	1	no	maximal, Sylow
12	C₂×C₁₃	C₄⋊C₄	1	1	yes	characteristic
13	D₁₃	D₈	1	1	yes	characteristic
14	D₁₃	Q₁₆	1	1	yes	characteristic
15	C₂×C₈	—	13	1	no	—
16	C₄⋊C₄	—	13	2	no	—
17	C₁₃	#107	1	1	yes	characteristic, complemented, Sylow
18	C₂×C₄	—	13	1	no	—
19	C₂×C₄	—	26	2	no	—
20	C₈	—	13	1	no	—
21	C₈	#261	1	1	yes	characteristic, complemented
22	C₂²	—	13	1	no	—
23	C₄	—	13	1	no	—
24	C₄	—	52	2	no	—
25	C₄	C₂×#261	1	1	yes	characteristic
26	C₂	—	13	1	no	—
27	C₂	—	13	1	no	—
28	C₂	C₄⋊#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.