Subgroups — C₁₁×#13091812⋊C₂ #44567656

Order 32274.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#13091812	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×C₁₁×D₁₆₃	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₁×C₁₆₃	C₂×C₃	1	1	yes	characteristic
4	C₁₁×D₁₆₃	C₉	1	1	yes	characteristic, complemented, Hall
5	#13091812⋊C₂	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₁×C₁₆₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	#13091812	C₂×C₁₁	1	1	yes	characteristic, complemented, Hall
8	C₃×D₁₆₃	C₃×C₁₁	1	1	yes	characteristic
9	C₃×C₁₆₃	C₂×C₃×C₁₁	1	1	yes	characteristic
10	D₁₆₃	C₉×C₁₁	1	1	yes	characteristic, complemented, Hall
11	C₂×C₉×C₁₁	—	163	1	no	maximal, Hall
12	C₁₆₃	C₂×C₉×C₁₁	1	1	yes	characteristic, complemented, Sylow
13	C₉×C₁₁	—	163	1	no	Hall
14	C₂×C₃×C₁₁	—	163	1	no	—
15	C₃×C₁₁	D₁₆₃⋊C₃	1	1	yes	characteristic
16	C₂×C₁₁	—	163	1	no	Hall
17	C₂×C₉	—	163	1	no	Hall
18	C₁₁	#13091812⋊C₂	1	1	yes	characteristic, direct product factor, Sylow
19	C₉	—	163	1	no	Sylow
20	C₂×C₃	—	163	1	no	—
21	C₃	C₁₁×D₁₆₃⋊C₃	1	1	yes	characteristic
22	C₂	—	163	1	no	Sylow

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

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.