Subgroups — C₂×#6039 #87884

Order 400.

92 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#1039	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×Dic₅	C₂	1	2	yes	maximal
3	#6039	C₂	1	4	yes	maximal, direct product factor
4	C₂²×C₅²	C₂²	1	1	yes	characteristic
5	#1039	C₂²	1	2	yes	—
6	C₅×Dic₅	C₂²	1	4	yes	—
7	C₂×Dic₁₀	—	5	2	no	maximal
8	C₂×C₅²	Q₈	1	2	yes	complemented
9	C₂×C₅²	C₂³	1	1	yes	characteristic
10	C₂×C₄×C₅	—	5	2	no	—
11	C₂×Dic₅	—	5	2	no	—
12	C₂×Dic₅	—	10	2	no	—
13	C₂×Dic₅	D₅	1	2	yes	—
14	Dic₁₀	—	5	8	no	—
15	C₅²	C₂×Q₈	1	1	yes	characteristic, complemented, Sylow
16	C₂²×C₅	—	2	2	no	—
17	C₂²×C₅	C₂×D₅	1	2	yes	—
18	C₄×C₅	—	5	4	no	—
19	Dic₅	—	5	4	no	—
20	Dic₅	—	10	4	no	—
21	Dic₅	C₂×D₅	1	4	yes	—
22	C₂×Q₈	—	25	1	no	Sylow
23	C₂×C₅	—	2	4	no	—
24	C₂×C₅	—	2	2	no	—
25	C₂×C₅	Dic₁₀	1	4	yes	complemented
26	C₂×C₅	C₂²×D₅	1	2	yes	—
27	Q₈	—	25	4	no	—
28	C₂×C₄	—	5	2	no	—
29	C₂×C₄	—	25	1	no	—
30	C₅	—	2	2	no	—
31	C₅	C₂×Dic₁₀	1	2	yes	complemented
32	C₂²	D₅²	1	1	yes	characteristic
33	C₄	—	5	4	no	—
34	C₄	—	25	2	no	—
35	C₂	#6039	1	2	yes	direct product factor
36	C₂	C₂×D₅²	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.