Subgroups — #11744607

Order 900.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅²⋊C₉	C₂	1	1	yes	maximal, characteristic
2	C₅×Dic₁₅	—	3	1	no	maximal
3	C₅²⋊C₉	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₃×C₅²	D₃	1	1	yes	characteristic
5	C₅×Dic₅	—	9	1	no	Hall
6	C₃×C₅²	Dic₃	1	1	yes	characteristic
7	Dic₁₅	—	3	1	no	—
8	C₅×Dic₃	—	15	1	no	—
9	C₂×C₅²	D₉	1	1	yes	characteristic
10	Dic₉	—	25	1	no	maximal, Hall
11	C₂×C₃×C₅	—	3	1	no	—
12	C₂×C₃×C₅	—	3	1	no	—
13	C₅²	Dic₉	1	1	yes	characteristic, complemented, Sylow
14	C₄×C₅	—	45	1	no	—
15	Dic₅	—	9	1	no	—
16	C₂×C₉	—	25	1	no	—
17	C₃×C₅	—	3	1	no	—
18	C₃×C₅	—	3	1	no	—
19	Dic₃	—	15	1	no	—
20	C₂×C₅	—	3	1	no	—
21	C₂×C₅	—	3	1	no	—
22	C₉	—	25	1	no	Sylow
23	C₂×C₃	#3874	1	1	yes	characteristic
24	C₅	—	3	1	no	—
25	C₅	—	3	1	no	—
26	C₄	—	45	1	no	Sylow
27	C₃	#64470	1	1	yes	characteristic
28	C₂	#90646	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
3. C₅²⋊C₉	C₄	semidirect
13. C₅²	Dic₉	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.