Subgroups — C₂₅×C₃⋊#595 #19099713

Order 5100.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₂₅×D₁₇	C₂	1	1	yes	maximal, characteristic
2	C₂₅×#595	—	3	1	no	maximal, Hall
3	C₃×C₁₇×C₂₅	C₄	1	1	yes	characteristic, complemented, Hall
4	C₅×C₃⋊#595	C₅	1	1	yes	maximal, characteristic
5	C₂₅×D₁₇	D₃	1	1	yes	characteristic
6	C₃×C₅×D₁₇	C₂×C₅	1	1	yes	characteristic
7	C₁₇×C₂₅	Dic₃	1	1	yes	characteristic, complemented, Hall
8	C₅×#595	—	3	1	no	—
9	Dic₃×C₂₅	—	17	1	no	maximal, Hall
10	C₃×C₅×C₁₇	C₄×C₅	1	1	yes	characteristic
11	C₃⋊#595	C₂₅	1	1	yes	characteristic, direct product factor, Hall
12	C₅×D₁₇	C₅×D₃	1	1	yes	characteristic
13	C₂×C₃×C₂₅	—	17	1	no	—
14	C₃×D₁₇	C₂×C₂₅	1	1	yes	characteristic
15	C₄×C₂₅	—	51	1	no	Hall
16	C₅×C₁₇	C₅×Dic₃	1	1	yes	characteristic
17	C₃×C₂₅	#595	1	1	yes	characteristic, complemented, Hall
18	#595	—	3	1	no	Hall
19	C₅×Dic₃	—	17	1	no	—
20	C₃×C₁₇	C₄×C₂₅	1	1	yes	characteristic, complemented, Hall
21	C₂×C₂₅	—	17	1	no	—
22	D₁₇	D₃×C₂₅	1	1	yes	characteristic
23	C₂×C₃×C₅	—	17	1	no	—
24	C₂₅	C₃⋊#595	1	1	yes	characteristic, direct product factor, Sylow
25	C₄×C₅	—	51	1	no	—
26	C₁₇	Dic₃×C₂₅	1	1	yes	characteristic, complemented, Sylow
27	C₃×C₅	C₅×#595	1	1	yes	characteristic
28	Dic₃	—	17	1	no	Hall
29	C₂×C₅	—	17	1	no	—
30	C₂×C₃	—	17	1	no	—
31	C₅	C₅×C₃⋊#595	1	1	yes	characteristic
32	C₄	—	51	1	no	Sylow
33	C₃	C₂₅×#595	1	1	yes	characteristic, complemented, Sylow
34	C₂	—	17	1	no	—

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