Subgroups — C₁₁×#13094089 #30658695

Order 16588.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×D₁₃×C₂₉	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₃×C₂₉	C₄	1	1	yes	characteristic, complemented, Hall
3	#13094089	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×Dic₂₉	—	13	1	no	maximal, Hall
5	D₁₃×C₂₉	C₂×C₁₁	1	1	yes	characteristic
6	C₂×C₁₁×C₂₉	—	13	1	no	—
7	C₁₁×#261	—	29	1	no	maximal, Hall
8	C₁₃×C₂₉	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
9	C₁₁×C₂₉	#261	1	1	yes	characteristic, complemented, Hall
10	C₁₁×D₁₃	D₂₉	1	1	yes	characteristic
11	C₁₁×C₁₃	Dic₂₉	1	1	yes	characteristic, complemented, Hall
12	Dic₂₉	—	13	1	no	Hall
13	C₂×C₂₉	—	13	1	no	—
14	#261	—	29	1	no	Hall
15	C₄×C₁₁	—	377	1	no	Hall
16	C₂₉	C₁₁×#261	1	1	yes	characteristic, complemented, Sylow
17	D₁₃	C₁₁×D₂₉	1	1	yes	characteristic
18	C₂×C₁₁	—	13	1	no	—
19	C₁₃	C₁₁×Dic₂₉	1	1	yes	characteristic, complemented, Sylow
20	C₁₁	#13094089	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	377	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.