Subgroups — C₄⋊#3874 #10597083

Order 600.

48 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3874	C₂	1	2	yes	maximal, complemented
2	C₄×C₅²⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×D₂₀	—	3	1	no	maximal, Hall
4	C₂×C₅²⋊C₃	C₂²	1	1	yes	characteristic
5	#3874	—	2	2	no	—
6	C₂×C₅×D₅	—	3	2	no	—
7	C₄×C₅²	D₃	1	1	yes	characteristic, complemented
8	C₅²⋊C₃	D₄	1	1	yes	characteristic, complemented, Hall
9	C₂×C₅²	C₂×D₃	1	1	yes	characteristic
10	C₅×D₅	—	6	2	no	—
11	C₅×D₄	—	15	1	no	—
12	D₂₀	—	3	1	no	—
13	C₅²	D₁₂	1	1	yes	characteristic, complemented, Sylow
14	D₁₂	—	25	1	no	maximal, Hall
15	C₂²×C₅	—	15	2	no	—
16	C₂×D₅	—	3	2	no	—
17	C₄×C₅	—	6	1	no	—
18	C₄×C₅	—	6	1	no	—
19	C₂×D₃	—	25	2	no	—
20	C₃×C₄	—	50	1	no	—
21	C₂×C₅	—	6	1	no	—
22	C₂×C₅	—	6	1	no	—
23	C₂×C₅	—	30	2	no	—
24	D₅	—	6	2	no	—
25	D₄	—	15	1	no	Sylow
26	C₂×C₃	—	50	1	no	—
27	D₃	—	50	2	no	—
28	C₅	—	6	1	no	—
29	C₅	—	6	1	no	—
30	C₂²	—	15	2	no	—
31	C₄	#3874	1	1	yes	characteristic, complemented
32	C₃	—	50	1	no	Sylow
33	C₂	—	30	2	no	—
34	C₂	C₂×#3874	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.