Subgroups — C₉×D₁₁×C₁₃₁ #39906339

Order 25938.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₁×C₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₁₁×C₁₃₁	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₁×C₁₃₁	C₂×C₃	1	1	yes	characteristic
4	D₁₁×C₁₃₁	C₉	1	1	yes	characteristic, direct product factor, Hall
5	C₂×C₉×C₁₃₁	—	11	1	no	maximal, Hall
6	C₁₁×C₁₃₁	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	C₉×C₁₃₁	D₁₁	1	1	yes	characteristic, direct product factor, Hall
8	C₂×C₃×C₁₃₁	—	11	1	no	—
9	C₃×C₁₃₁	C₃×D₁₁	1	1	yes	characteristic
10	C₂×C₁₃₁	—	11	1	no	Hall
11	C₉×D₁₁	C₁₃₁	1	1	yes	maximal, characteristic, direct product factor, Hall
12	C₁₃₁	C₉×D₁₁	1	1	yes	characteristic, direct product factor, Sylow
13	C₉×C₁₁	C₂×C₁₃₁	1	1	yes	characteristic, complemented, Hall
14	C₃×D₁₁	C₃×C₁₃₁	1	1	yes	characteristic
15	C₃×C₁₁	C₂×C₃×C₁₃₁	1	1	yes	characteristic
16	D₁₁	C₉×C₁₃₁	1	1	yes	characteristic, direct product factor, Hall
17	C₂×C₉	—	11	1	no	Hall
18	C₁₁	C₂×C₉×C₁₃₁	1	1	yes	characteristic, complemented, Sylow
19	C₉	D₁₁×C₁₃₁	1	1	yes	characteristic, direct product factor, Sylow
20	C₂×C₃	—	11	1	no	—
21	C₃	C₃×D₁₁×C₁₃₁	1	1	yes	characteristic
22	C₂	—	11	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.