Subgroups — #49115477

Order 36100.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉²⋊C₂₅	C₂	1	1	yes	maximal, characteristic
2	C₁₉²⋊C₂₅	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉×Dic₉₅	—	5	1	no	maximal
4	C₂×C₅×C₁₉²	D₅	1	1	yes	characteristic
5	C₅×C₁₉²	Dic₅	1	1	yes	characteristic
6	C₁₉×Dic₁₉	—	25	1	no	Hall
7	C₂×C₁₉²	D₂₅	1	1	yes	characteristic
8	Dic₉₅	—	5	1	no	—
9	C₁₉×Dic₅	—	95	1	no	—
10	C₁₉²	Dic₂₅	1	1	yes	characteristic, complemented, Sylow
11	C₂×C₅×C₁₉	—	5	1	no	—
12	C₂×C₅×C₁₉	—	5	1	no	—
13	C₂×C₅×C₁₉	—	10	1	no	—
14	Dic₂₅	—	361	1	no	maximal, Hall
15	C₅×C₁₉	—	5	1	no	—
16	C₅×C₁₉	—	5	1	no	—
17	C₅×C₁₉	—	10	1	no	—
18	C₄×C₁₉	—	475	1	no	—
19	Dic₁₉	—	25	1	no	—
20	C₂×C₂₅	—	361	1	no	—
21	C₂×C₁₉	—	5	1	no	—
22	C₂×C₁₉	—	5	1	no	—
23	C₂×C₁₉	—	10	1	no	—
24	C₂₅	—	361	1	no	Sylow
25	Dic₅	—	95	1	no	—
26	C₁₉	—	5	1	no	—
27	C₁₉	—	5	1	no	—
28	C₁₉	—	10	1	no	—
29	C₂×C₅	#16813380	1	1	yes	characteristic
30	C₅	#20297971	1	1	yes	characteristic
31	C₄	—	475	1	no	Sylow
32	C₂	#31825265	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. C₁₉²⋊C₂₅	C₄	semidirect
10. C₁₉²	Dic₂₅	semidirect

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