Subgroups — C₃×C₅₉⋊#261 #22604188

Order 9204.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₁₃×C₅₉	C₂	1	1	yes	maximal, characteristic
2	C₅₉⋊#261	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₃×C₅₉	C₄	1	1	yes	characteristic, complemented, Hall
4	D₁₃×C₅₉	C₂×C₃	1	1	yes	characteristic
5	C₁₃×C₅₉	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×Dic₅₉	—	13	1	no	maximal, Hall
7	C₂×C₃×C₅₉	—	13	1	no	—
8	Dic₅₉	—	13	1	no	Hall
9	C₃×C₅₉	#261	1	1	yes	characteristic, complemented, Hall
10	C₃×#261	—	59	1	no	maximal, Hall
11	C₂×C₅₉	—	13	1	no	—
12	C₃×D₁₃	D₅₉	1	1	yes	characteristic
13	C₅₉	C₃×#261	1	1	yes	characteristic, complemented, Sylow
14	#261	—	59	1	no	Hall
15	C₃×C₁₃	Dic₅₉	1	1	yes	characteristic, complemented, Hall
16	D₁₃	C₃×D₅₉	1	1	yes	characteristic
17	C₁₃	C₃×Dic₅₉	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	767	1	no	Hall
19	C₂×C₃	—	13	1	no	—
20	C₄	—	767	1	no	Sylow
21	C₃	C₅₉⋊#261	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	—	13	1	no	—

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