Subgroups — C₂²⋊#11717581 #15692311

Order 3232.

50 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11717581	C₂	1	2	yes	maximal, complemented
2	C₂²×Dic₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₂³×C₁₀₁	C₄	1	1	yes	characteristic
4	C₂×Dic₁₀₁	—	2	2	no	—
5	C₂×Dic₁₀₁	C₄	1	1	yes	characteristic
6	C₂×Dic₁₀₁	C₂²	1	1	yes	characteristic
7	#11717581	—	2	2	no	—
8	C₂²×C₁₀₁	—	2	1	no	—
9	C₂²×C₁₀₁	—	2	1	no	—
10	C₂²×C₁₀₁	C₈	1	2	yes	complemented
11	C₂²×C₁₀₁	C₂×C₄	1	1	yes	characteristic
12	Dic₁₀₁	—	2	1	no	—
13	Dic₁₀₁	D₄	1	2	yes	—
14	C₂×C₁₀₁	—	2	2	no	—
15	C₂×C₁₀₁	C₂²⋊C₄	1	1	yes	characteristic
16	C₂×C₁₀₁	C₂×C₈	1	1	yes	characteristic
17	C₂×C₁₀₁	M₁₆	1	1	yes	characteristic
18	C₁₀₁	C₂²⋊C₈	1	1	yes	characteristic, complemented, Sylow
19	C₂²⋊C₈	—	101	1	no	maximal, Sylow
20	C₂²×C₄	—	101	1	no	—
21	C₂×C₈	—	101	2	no	—
22	C₂³	#87938	1	1	yes	characteristic
23	C₂×C₄	—	101	1	no	—
24	C₂×C₄	—	101	1	no	—
25	C₂×C₄	—	202	2	no	—
26	C₈	—	202	2	no	—
27	C₂²	—	2	1	no	—
28	C₂²	—	2	1	no	—
29	C₂²	#11717581	1	2	yes	complemented
30	C₂²	C₂×#87938	1	1	yes	characteristic
31	C₄	—	101	2	no	—
32	C₄	—	202	1	no	—
33	C₂	—	2	2	no	—
34	C₂	C₂²⋊#87938	1	1	yes	characteristic
35	C₂	C₂×#11717581	1	1	yes	characteristic
36	C₂	#13108083	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.