Subgroups — C₄⋊#1035 #87737

Order 400.

39 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#1035	C₂	1	2	yes	maximal
2	C₄×D₂₅	C₂	1	1	yes	maximal, characteristic
3	C₂×D₂₅	C₂²	1	1	yes	characteristic
4	#1035	—	2	2	no	—
5	C₄×C₂₅	C₄	1	1	yes	characteristic, complemented
6	Dic₂₅	C₄	1	1	yes	characteristic, complemented
7	C₄⋊AGL(1,𝔽₅)	—	5	1	no	maximal
8	C₂×C₂₅	C₂×C₄	1	1	yes	characteristic
9	D₂₅	D₄	1	1	yes	characteristic
10	D₂₅	Q₈	1	1	yes	characteristic
11	C₂×AGL(1,𝔽₅)	—	5	2	no	—
12	C₄×D₅	—	5	1	no	—
13	C₂₅	C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
14	C₂×D₅	—	5	1	no	—
15	AGL(1,𝔽₅)	—	10	2	no	—
16	C₄×C₅	AGL(1,𝔽₅)	1	1	yes	characteristic
17	Dic₅	—	5	1	no	—
18	C₄⋊C₄	—	25	1	no	Sylow
19	C₂×C₅	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
20	D₅	—	5	1	no	—
21	D₅	—	5	1	no	—
22	C₂×C₄	—	25	1	no	—
23	C₂×C₄	—	25	2	no	—
24	C₅	C₄⋊AGL(1,𝔽₅)	1	1	yes	characteristic
25	C₂²	—	25	1	no	—
26	C₄	—	25	1	no	—
27	C₄	—	50	2	no	—
28	C₄	#1035	1	1	yes	characteristic, complemented
29	C₂	—	25	1	no	—
30	C₂	—	25	1	no	—
31	C₂	C₂×#1035	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.