Subgroups — C₁₁×C₄₇⋊#261 #41001876

Order 26884.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×D₁₃×C₄₇	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₃×C₄₇	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄₇⋊#261	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×Dic₄₇	—	13	1	no	maximal, Hall
5	D₁₃×C₄₇	C₂×C₁₁	1	1	yes	characteristic
6	C₂×C₁₁×C₄₇	—	13	1	no	—
7	C₁₃×C₄₇	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
8	C₁₁×#261	—	47	1	no	maximal, Hall
9	C₁₁×C₄₇	#261	1	1	yes	characteristic, complemented, Hall
10	C₁₁×D₁₃	D₄₇	1	1	yes	characteristic
11	Dic₄₇	—	13	1	no	Hall
12	C₁₁×C₁₃	Dic₄₇	1	1	yes	characteristic, complemented, Hall
13	C₂×C₄₇	—	13	1	no	—
14	#261	—	47	1	no	Hall
15	C₄₇	C₁₁×#261	1	1	yes	characteristic, complemented, Sylow
16	C₄×C₁₁	—	611	1	no	Hall
17	D₁₃	C₁₁×D₄₇	1	1	yes	characteristic
18	C₂×C₁₁	—	13	1	no	—
19	C₁₃	C₁₁×Dic₄₇	1	1	yes	characteristic, complemented, Sylow
20	C₁₁	C₄₇⋊#261	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	611	1	no	Sylow
22	C₂	—	13	1	no	—

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.