Subgroups — #13095033

Order 1520.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×D₂₀	C₂	1	1	yes	maximal, characteristic
2	C₅×Dic₃₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉⋊#168	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₅×C₁₉	—	2	1	no	—
5	C₄×C₅×C₁₉	C₂²	1	1	yes	characteristic
6	C₅×Dic₁₉	—	2	1	no	—
7	#64526	—	5	1	no	maximal, Hall
8	C₂×C₅×C₁₉	D₄	1	1	yes	characteristic
9	D₅×C₁₉	—	4	1	no	—
10	D₄×C₁₉	—	5	1	no	—
11	Dic₃₈	D₅	1	1	yes	characteristic, complemented
12	C₁₉⋊C₈	—	5	1	no	—
13	C₅×C₁₉	SD₁₆	1	1	yes	characteristic, complemented, Hall
14	#688	—	19	1	no	maximal, Hall
15	C₂²×C₁₉	—	10	1	no	—
16	C₄×C₁₉	C₂×D₅	1	1	yes	characteristic
17	Dic₁₉	—	2	1	no	—
18	C₅×Q₈	—	19	1	no	—
19	D₂₀	D₁₉	1	1	yes	characteristic
20	#168	—	19	1	no	—
21	C₂×C₁₉	—	20	1	no	—
22	C₂×C₁₉	C₂²⋊D₅	1	1	yes	characteristic
23	C₂×D₅	—	2	1	no	—
24	C₄×C₅	—	38	1	no	—
25	C₄×C₅	C₂×D₁₉	1	1	yes	characteristic
26	C₁₉	#688	1	1	yes	characteristic, complemented, Sylow
27	SD₁₆	—	95	1	no	Sylow
28	C₂×C₅	C₂²⋊D₁₉	1	1	yes	characteristic
29	D₅	—	4	1	no	—
30	Q₈	—	19	1	no	—
31	D₄	—	5	1	no	—
32	C₈	—	95	1	no	—
33	C₅	#64526	1	1	yes	characteristic, complemented, Sylow
34	C₂²	—	10	1	no	—
35	C₄	—	38	1	no	—
36	C₄	D₅×D₁₉	1	1	yes	characteristic
37	C₂	—	20	1	no	—
38	C₂	#10625573	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.