Subgroups — C₁₁×#14555936 #38733265

Order 24860.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₁₁×D₁₁₃	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₁×C₁₁₃	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₁×#90673	—	5	1	no	maximal, Hall
4	C₁₁×D₁₁₃	D₅	1	1	yes	characteristic
5	#14555936	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₁×C₁₁₃	Dic₅	1	1	yes	characteristic, complemented, Hall
7	C₅×D₁₁₃	C₂×C₁₁	1	1	yes	characteristic
8	C₅×C₁₁₃	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
9	#90673	—	5	1	no	Hall
10	D₁₁₃	D₅×C₁₁	1	1	yes	characteristic
11	C₁₁×Dic₅	—	113	1	no	maximal, Hall
12	C₁₁₃	C₁₁×Dic₅	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₅×C₁₁	—	113	1	no	—
14	C₅×C₁₁	#90673	1	1	yes	characteristic, complemented, Hall
15	C₄×C₁₁	—	565	1	no	Hall
16	C₂×C₁₁	—	113	1	no	—
17	Dic₅	—	113	1	no	Hall
18	C₁₁	#14555936	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₅	—	113	1	no	—
20	C₅	C₁₁×#90673	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	565	1	no	Sylow
22	C₂	—	113	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.