Subgroups — C₁₉×#4379 #16811933

Order 3420.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₃⋊D₃×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₅×C₁₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₁₉×#157	—	5	1	no	maximal, Hall
4	C₅×D₃×C₁₉	—	6	2	no	—
5	C₁₉×Dic₅	—	9	1	no	maximal, Hall
6	C₃⋊D₃×C₁₉	D₅	1	1	yes	characteristic
7	C₃×C₅×C₁₉	—	2	2	no	—
8	C₂×C₅×C₁₉	—	9	1	no	—
9	#4379	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃²×C₁₉	Dic₅	1	1	yes	characteristic, complemented, Hall
11	D₃×C₁₉	—	6	2	no	—
12	C₅×C₁₉	#157	1	1	yes	characteristic, complemented, Hall
13	C₅×C₃⋊D₃	C₂×C₁₉	1	1	yes	characteristic
14	C₄×C₁₉	—	45	1	no	Hall
15	C₃×C₁₉	—	2	2	no	—
16	C₃²×C₅	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
17	C₂×C₁₉	—	9	1	no	—
18	#157	—	5	1	no	Hall
19	C₅×D₃	—	6	2	no	—
20	Dic₅	—	9	1	no	Hall
21	C₁₉	#4379	1	1	yes	characteristic, direct product factor, Sylow
22	C₃⋊D₃	D₅×C₁₉	1	1	yes	characteristic
23	C₃×C₅	—	2	2	no	—
24	C₂×C₅	—	9	1	no	—
25	C₃²	C₁₉×Dic₅	1	1	yes	characteristic, complemented, Sylow
26	D₃	—	6	2	no	—
27	C₅	C₁₉×#157	1	1	yes	characteristic, complemented, Sylow
28	C₄	—	45	1	no	Sylow
29	C₃	—	2	2	no	—
30	C₂	—	9	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.