Subgroups — D₁₀₁⋊C₁₆ #15692328

Order 3232.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13108077	C₂	1	2	yes	maximal, complemented
2	C₈×D₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₄×D₁₀₁	C₄	1	1	yes	characteristic
4	C₈×C₁₀₁	C₄	1	1	yes	characteristic
5	#11717579	C₂²	1	1	yes	characteristic
6	C₂×D₁₀₁	C₈	1	1	yes	characteristic
7	C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
8	Dic₁₀₁	C₈	1	1	yes	characteristic
9	C₂×C₁₀₁	C₂×C₈	1	1	yes	characteristic
10	D₁₀₁	C₁₆	1	2	yes	complemented
11	C₁₀₁	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	101	1	no	maximal, Sylow
13	C₂×C₈	—	101	1	no	—
14	C₁₆	—	101	2	no	—
15	C₂×C₄	—	101	1	no	—
16	C₈	—	101	1	no	—
17	C₈	#87938	1	1	yes	characteristic
18	C₂²	—	101	1	no	—
19	C₄	—	101	1	no	—
20	C₄	C₂×#87938	1	1	yes	characteristic
21	C₂	—	101	2	no	—
22	C₂	D₁₀₁⋊C₈	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.