Subgroups — C₅×#15692425⋊C₂ #44570430

Order 32490.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#15692425	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₅×D₃₆₁⋊C₃	C₃	1	1	yes	maximal, characteristic
3	#15692425⋊C₂	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₅×C₃₆₁⋊C₃	C₂×C₃	1	1	yes	characteristic
5	C₅×D₃₆₁	C₉	1	1	yes	characteristic, complemented, Hall
6	#15692425	C₂×C₅	1	1	yes	characteristic, complemented, Hall
7	D₃₆₁⋊C₃	C₃×C₅	1	1	yes	characteristic
8	C₅×C₃₆₁	C₂×C₉	1	1	yes	characteristic, complemented, Hall
9	C₅×AGL(1,𝔽₁₉)	—	19	1	no	maximal
10	C₃₆₁⋊C₃	C₂×C₃×C₅	1	1	yes	characteristic
11	C₅×#4296	—	19	1	no	—
12	D₃₆₁	C₅×C₉	1	1	yes	characteristic, complemented, Hall
13	C₅×D₁₉⋊C₃	—	19	1	no	—
14	C₃₆₁	C₂×C₅×C₉	1	1	yes	characteristic, complemented, Sylow
15	AGL(1,𝔽₁₉)	—	19	1	no	—
16	C₅×C₁₉⋊C₃	—	19	1	no	—
17	C₅×D₁₉	—	19	1	no	—
18	#4296	—	19	1	no	—
19	D₁₉⋊C₃	—	19	1	no	—
20	C₅×C₁₉	AGL(1,𝔽₁₉)	1	1	yes	characteristic
21	C₂×C₅×C₉	—	361	1	no	Hall
22	C₁₉⋊C₃	—	19	1	no	—
23	C₅×C₉	—	361	1	no	Hall
24	D₁₉	—	19	1	no	—
25	C₂×C₃×C₅	—	361	1	no	—
26	C₁₉	C₅×AGL(1,𝔽₁₉)	1	1	yes	characteristic
27	C₂×C₉	—	361	1	no	Hall
28	C₃×C₅	—	361	1	no	—
29	C₂×C₅	—	361	1	no	Hall
30	C₉	—	361	1	no	Sylow
31	C₂×C₃	—	361	1	no	—
32	C₅	#15692425⋊C₂	1	1	yes	characteristic, direct product factor, Sylow
33	C₃	—	361	1	no	—
34	C₂	—	361	1	no	Sylow

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.