Subgroups — D₁₃⋊C₃₂ #11718213

Order 832.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic
2	#88036	C₂	1	2	yes	maximal, complemented
3	C₈×D₁₃	C₄	1	1	yes	characteristic
4	C₁₃×C₁₆	C₄	1	1	yes	characteristic
5	#6090	C₂²	1	1	yes	characteristic
6	C₄×D₁₃	C₈	1	1	yes	characteristic
7	C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
8	#1055	C₈	1	1	yes	characteristic
9	C₂×C₃₂	—	13	1	no	maximal, Sylow
10	C₂×D₁₃	C₁₆	1	1	yes	characteristic
11	C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
12	Dic₁₃	C₁₆	1	1	yes	characteristic
13	C₂×C₁₆	—	13	1	no	—
14	C₃₂	—	13	2	no	—
15	C₂×C₁₃	C₂×C₁₆	1	1	yes	characteristic
16	D₁₃	C₃₂	1	2	yes	complemented
17	C₂×C₈	—	13	1	no	—
18	C₁₆	—	13	1	no	—
19	C₁₆	#261	1	1	yes	characteristic
20	C₁₃	C₂×C₃₂	1	1	yes	characteristic, complemented, Sylow
21	C₂×C₄	—	13	1	no	—
22	C₈	—	13	1	no	—
23	C₈	C₂×#261	1	1	yes	characteristic
24	C₂²	—	13	1	no	—
25	C₄	—	13	1	no	—
26	C₄	D₁₃⋊C₈	1	1	yes	characteristic
27	C₂	—	13	2	no	—
28	C₂	D₁₃⋊C₁₆	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.