Subgroups — C₂×D₁₇₉₁ #20297607

Order 7164.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₇₉₁	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₉×C₁₉₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₅₉₇	—	3	1	no	maximal
4	C₉×C₁₉₉	C₂²	1	1	yes	characteristic, complemented, Hall
5	C₂×C₃×C₁₉₉	D₃	1	1	yes	characteristic
6	D₅₉₇	—	3	2	no	—
7	C₂×D₁₉₉	—	9	1	no	Hall
8	C₃×C₁₉₉	C₂×D₃	1	1	yes	characteristic
9	C₂×C₁₉₉	D₉	1	1	yes	characteristic, complemented
10	D₁₉₉	—	9	2	no	—
11	C₁₉₉	C₂×D₉	1	1	yes	characteristic, complemented, Sylow
12	C₂×D₉	—	199	1	no	maximal, Hall
13	C₂×C₉	D₁₉₉	1	1	yes	characteristic, complemented
14	D₉	—	199	2	no	—
15	C₂×D₃	—	597	1	no	—
16	C₉	C₂×D₁₉₉	1	1	yes	characteristic, complemented, Sylow
17	C₂×C₃	D₅₉₇	1	1	yes	characteristic
18	D₃	—	597	2	no	—
19	C₂²	—	1791	1	no	Sylow
20	C₃	C₂×D₅₉₇	1	1	yes	characteristic
21	C₂	—	1791	2	no	—
22	C₂	D₁₇₉₁	1	1	yes	characteristic, direct product factor

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