Subgroups — C₁₉×Dic₄₅₁ #46804641

Order 34276.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×C₁₉×C₄₁	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₉×C₄₁	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉×Dic₄₁	—	11	1	no	maximal, Hall
4	Dic₄₅₁	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₂×C₁₉×C₄₁	D₁₁	1	1	yes	characteristic
6	C₂×C₁₁×C₄₁	C₂×C₁₉	1	1	yes	characteristic
7	C₁₉×Dic₁₁	—	41	1	no	maximal, Hall
8	C₁₉×C₄₁	Dic₁₁	1	1	yes	characteristic, complemented, Hall
9	C₁₁×C₄₁	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
10	C₂×C₁₁×C₁₉	D₄₁	1	1	yes	characteristic
11	C₁₁×C₁₉	Dic₄₁	1	1	yes	characteristic, complemented, Hall
12	Dic₄₁	—	11	1	no	Hall
13	C₂×C₄₁	C₁₉×D₁₁	1	1	yes	characteristic
14	C₄×C₁₉	—	451	1	no	Hall
15	Dic₁₁	—	41	1	no	Hall
16	C₄₁	C₁₉×Dic₁₁	1	1	yes	characteristic, complemented, Sylow
17	C₂×C₁₉	D₄₅₁	1	1	yes	characteristic
18	C₂×C₁₁	C₁₉×D₄₁	1	1	yes	characteristic
19	C₁₉	Dic₄₅₁	1	1	yes	characteristic, direct product factor, Sylow
20	C₁₁	C₁₉×Dic₄₁	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	451	1	no	Sylow
22	C₂	C₁₉×D₄₅₁	1	1	yes	characteristic

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.