Subgroups — C₃×C₁₁⋊#11716161 #39907151

Order 26004.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₁×D₁₉₇	C₂	1	1	yes	maximal, characteristic
2	C₁₁⋊#11716161	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₁×C₁₉₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₁₁×D₁₉₇	C₂×C₃	1	1	yes	characteristic
5	C₃×#11716161	—	11	1	no	maximal, Hall
6	C₁₁×C₁₉₇	C₃×C₄	1	1	yes	characteristic, complemented, Hall
7	C₃×D₁₉₇	D₁₁	1	1	yes	characteristic
8	#11716161	—	11	1	no	Hall
9	C₃×C₁₉₇	Dic₁₁	1	1	yes	characteristic, complemented, Hall
10	D₁₉₇	C₃×D₁₁	1	1	yes	characteristic
11	C₁₉₇	C₃×Dic₁₁	1	1	yes	characteristic, complemented, Sylow
12	C₃×Dic₁₁	—	197	1	no	maximal, Hall
13	C₂×C₃×C₁₁	—	197	1	no	—
14	Dic₁₁	—	197	1	no	Hall
15	C₃×C₁₁	#11716161	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₁	—	197	1	no	—
17	C₃×C₄	—	2167	1	no	Hall
18	C₁₁	C₃×#11716161	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₃	—	197	1	no	—
20	C₄	—	2167	1	no	Sylow
21	C₃	C₁₁⋊#11716161	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	—	197	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.