Subgroups — C₁₉⋊#11927415 #37550817

Order 23180.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₁₉×D₆₁	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₉×C₆₁	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉⋊#6923	—	5	1	no	maximal, Hall
4	C₁₉×D₆₁	D₅	1	1	yes	characteristic
5	#11927415	—	19	1	no	maximal, Hall
6	C₁₉×C₆₁	Dic₅	1	1	yes	characteristic, complemented, Hall
7	C₅×D₆₁	D₁₉	1	1	yes	characteristic
8	Dic₉₅	—	61	1	no	maximal, Hall
9	C₅×C₆₁	Dic₁₉	1	1	yes	characteristic, complemented, Hall
10	#6923	—	95	1	no	Hall
11	C₂×C₅×C₁₉	—	61	1	no	—
12	D₆₁	D₉₅	1	1	yes	characteristic
13	C₅×C₁₉	#6923	1	1	yes	characteristic, complemented, Hall
14	Dic₁₉	—	305	1	no	Hall
15	C₆₁	Dic₉₅	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₁₉	—	61	1	no	—
17	Dic₅	—	1159	1	no	Hall
18	C₁₉	#11927415	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₅	—	61	1	no	—
20	C₅	C₁₉⋊#6923	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	5795	1	no	Sylow
22	C₂	—	61	1	no	—

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, hypocenter	C₅×C₁₉×C₆₁	C₄
prime radical, cosocle	C₅×C₁₉×D₆₁	C₂
LCS	G ▷ C₅×C₁₉×C₆₁
UCS	C₁

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.