Subgroups — C₁₁×C₂²⋊D₅ #89180

Order 440.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₅×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅×C₁₁	—	2	1	no	—
5	C₂×C₅×C₁₁	C₂²	1	1	yes	characteristic
6	D₅×C₁₁	—	2	1	no	—
7	D₄×C₁₁	—	5	1	no	maximal, Hall
8	C₅×C₁₁	D₄	1	1	yes	characteristic, complemented, Hall
9	C₂²×C₁₁	—	5	1	no	—
10	C₂²×C₁₁	D₅	1	1	yes	characteristic, complemented
11	C₄×C₁₁	—	5	1	no	—
12	C₂²⋊D₅	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
13	C₂×C₁₁	—	2	1	no	—
14	C₂×C₁₁	—	10	1	no	—
15	C₂×C₁₁	C₂×D₅	1	1	yes	characteristic
16	C₂²×C₅	C₂×C₁₁	1	1	yes	characteristic, complemented
17	C₂×D₅	C₂×C₁₁	1	1	yes	characteristic, complemented
18	Dic₅	C₂×C₁₁	1	1	yes	characteristic, complemented
19	C₁₁	C₂²⋊D₅	1	1	yes	characteristic, direct product factor, Sylow
20	C₂×C₅	—	2	1	no	—
21	C₂×C₅	C₂²×C₁₁	1	1	yes	characteristic
22	D₅	—	2	1	no	—
23	D₄	—	5	1	no	Sylow
24	C₅	D₄×C₁₁	1	1	yes	characteristic, complemented, Sylow
25	C₂²	—	5	1	no	—
26	C₂²	D₅×C₁₁	1	1	yes	characteristic, complemented
27	C₄	—	5	1	no	—
28	C₂	—	2	1	no	—
29	C₂	—	10	1	no	—
30	C₂	C₂×D₅×C₁₁	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.