Subgroups — C₃×#14520307 #20238317

Order 5916.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₄₉₃	C₂	1	1	yes	maximal, characteristic
2	#14520307	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₇×C₂₉	C₄	1	1	yes	characteristic, complemented, Hall
4	D₄₉₃	C₂×C₃	1	1	yes	characteristic
5	C₁₇×C₂₉	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×#1181	—	17	1	no	maximal, Hall
7	C₃×#595	—	29	1	no	maximal, Hall
8	C₃×D₂₉	—	17	1	no	—
9	#1181	—	17	1	no	Hall
10	C₃×D₁₇	—	29	1	no	—
11	C₃×C₂₉	#595	1	1	yes	characteristic, complemented, Hall
12	#595	—	29	1	no	Hall
13	D₂₉	—	17	1	no	—
14	C₃×C₁₇	#1181	1	1	yes	characteristic, complemented, Hall
15	D₁₇	—	29	1	no	—
16	C₂₉	C₃×#595	1	1	yes	characteristic, complemented, Sylow
17	C₁₇	C₃×#1181	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	493	1	no	Hall
19	C₂×C₃	—	493	1	no	—
20	C₄	—	493	1	no	Sylow
21	C₃	#14520307	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	—	493	1	no	—

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