Subgroups — C₉×C₃₁×D₁₇ #23748664

Order 9486.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₇×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×C₃₁×D₁₇	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₇×C₃₁	C₂×C₃	1	1	yes	characteristic
4	C₃₁×D₁₇	C₉	1	1	yes	characteristic, direct product factor, Hall
5	C₂×C₉×C₃₁	—	17	1	no	maximal, Hall
6	C₁₇×C₃₁	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	C₉×D₁₇	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₉×C₃₁	D₁₇	1	1	yes	characteristic, direct product factor, Hall
9	C₂×C₃×C₃₁	—	17	1	no	—
10	C₉×C₁₇	C₂×C₃₁	1	1	yes	characteristic, complemented, Hall
11	C₃×D₁₇	C₃×C₃₁	1	1	yes	characteristic
12	C₃×C₃₁	C₃×D₁₇	1	1	yes	characteristic
13	C₂×C₃₁	—	17	1	no	Hall
14	C₃×C₁₇	C₂×C₃×C₃₁	1	1	yes	characteristic
15	D₁₇	C₉×C₃₁	1	1	yes	characteristic, direct product factor, Hall
16	C₃₁	C₉×D₁₇	1	1	yes	characteristic, direct product factor, Sylow
17	C₂×C₉	—	17	1	no	Hall
18	C₁₇	C₂×C₉×C₃₁	1	1	yes	characteristic, complemented, Sylow
19	C₉	C₃₁×D₁₇	1	1	yes	characteristic, direct product factor, Sylow
20	C₂×C₃	—	17	1	no	—
21	C₃	C₃×C₃₁×D₁₇	1	1	yes	characteristic
22	C₂	—	17	1	no	Sylow

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