Subgroups — C₁₁×Dic₂₀₁ #22579596

Order 8844.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₁₁×C₆₇	C₂	1	1	yes	maximal, characteristic
2	C₁₁×Dic₆₇	—	3	1	no	maximal, Hall
3	C₃×C₁₁×C₆₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₁₁×C₆₇	D₃	1	1	yes	characteristic
5	Dic₂₀₁	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₁×C₆₇	Dic₃	1	1	yes	characteristic, complemented, Hall
7	C₂×C₃×C₆₇	C₂×C₁₁	1	1	yes	characteristic
8	Dic₆₇	—	3	1	no	Hall
9	C₃×C₆₇	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
10	C₂×C₆₇	D₃×C₁₁	1	1	yes	characteristic
11	C₁₁×Dic₃	—	67	1	no	maximal, Hall
12	C₆₇	C₁₁×Dic₃	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₃×C₁₁	D₆₇	1	1	yes	characteristic
14	C₄×C₁₁	—	201	1	no	Hall
15	C₃×C₁₁	Dic₆₇	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₁	D₂₀₁	1	1	yes	characteristic
17	Dic₃	—	67	1	no	Hall
18	C₁₁	Dic₂₀₁	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₃	C₁₁×D₆₇	1	1	yes	characteristic
20	C₄	—	201	1	no	Sylow
21	C₃	C₁₁×Dic₆₇	1	1	yes	characteristic, complemented, Sylow
22	C₂	C₁₁×D₂₀₁	1	1	yes	characteristic

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