Subgroups — C₁₉×#11725130 #30680997

Order 16796.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×D₂₂₁	C₂	1	1	yes	maximal, characteristic
2	C₁₃×C₁₇×C₁₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉×#595	—	13	1	no	maximal, Hall
4	C₁₉×#261	—	17	1	no	maximal, Hall
5	#11725130	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₉×D₁₇	—	13	1	no	—
7	C₁₉×D₁₃	—	17	1	no	—
8	D₂₂₁	C₂×C₁₉	1	1	yes	characteristic
9	C₁₇×C₁₉	#261	1	1	yes	characteristic, complemented, Hall
10	C₁₃×C₁₉	#595	1	1	yes	characteristic, complemented, Hall
11	C₁₃×C₁₇	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
12	C₄×C₁₉	—	221	1	no	Hall
13	#595	—	13	1	no	Hall
14	#261	—	17	1	no	Hall
15	C₂×C₁₉	—	221	1	no	—
16	D₁₇	—	13	1	no	—
17	D₁₃	—	17	1	no	—
18	C₁₉	#11725130	1	1	yes	characteristic, direct product factor, Sylow
19	C₁₇	C₁₉×#261	1	1	yes	characteristic, complemented, Sylow
20	C₁₃	C₁₉×#595	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	221	1	no	Sylow
22	C₂	—	221	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.