Subgroups — C₅×#19154606 #44440402

Order 29380.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×D₁₄₆₉	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₃×C₁₁₃	C₄	1	1	yes	characteristic, complemented, Hall
3	#19154606	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
4	D₁₄₆₉	C₂×C₅	1	1	yes	characteristic
5	C₅×#90673	—	13	1	no	maximal, Hall
6	C₁₃×C₁₁₃	C₄×C₅	1	1	yes	characteristic, complemented, Hall
7	C₅×D₁₁₃	—	13	1	no	—
8	C₅×C₁₁₃	#261	1	1	yes	characteristic, complemented, Hall
9	#90673	—	13	1	no	Hall
10	C₅×#261	—	113	1	no	maximal, Hall
11	D₁₁₃	—	13	1	no	—
12	C₅×D₁₃	—	113	1	no	—
13	C₁₁₃	C₅×#261	1	1	yes	characteristic, complemented, Sylow
14	C₅×C₁₃	#90673	1	1	yes	characteristic, complemented, Hall
15	#261	—	113	1	no	Hall
16	D₁₃	—	113	1	no	—
17	C₄×C₅	—	1469	1	no	Hall
18	C₁₃	C₅×#90673	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₅	—	1469	1	no	—
20	C₅	#19154606	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	1469	1	no	Sylow
22	C₂	—	1469	1	no	—

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.