Subgroups — C₇×C₁₁⋊#87938 #44527409

Order 31108.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×C₁₁×D₁₀₁	C₂	1	1	yes	maximal, characteristic
2	C₇×C₁₁×C₁₀₁	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₁⋊#87938	C₇	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₇×#87938	—	11	1	no	maximal, Hall
5	C₁₁×D₁₀₁	C₂×C₇	1	1	yes	characteristic
6	C₇×D₁₀₁	D₁₁	1	1	yes	characteristic
7	C₁₁×C₁₀₁	C₄×C₇	1	1	yes	characteristic, complemented, Hall
8	C₇×C₁₀₁	Dic₁₁	1	1	yes	characteristic, complemented, Hall
9	#87938	—	11	1	no	Hall
10	C₇×Dic₁₁	—	101	1	no	maximal, Hall
11	D₁₀₁	C₇×D₁₁	1	1	yes	characteristic
12	C₂×C₇×C₁₁	—	101	1	no	—
13	C₁₀₁	C₇×Dic₁₁	1	1	yes	characteristic, complemented, Sylow
14	C₇×C₁₁	#87938	1	1	yes	characteristic, complemented, Hall
15	Dic₁₁	—	101	1	no	Hall
16	C₄×C₇	—	1111	1	no	Hall
17	C₂×C₁₁	—	101	1	no	—
18	C₂×C₇	—	101	1	no	—
19	C₁₁	C₇×#87938	1	1	yes	characteristic, complemented, Sylow
20	C₇	C₁₁⋊#87938	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	1111	1	no	Sylow
22	C₂	—	101	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.