Subgroups — #64545

Order 304.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
2	D₇₆	C₂	1	3	yes	maximal, complemented
3	C₄×D₁₉	C₂	1	3	yes	maximal, complemented
4	C₂×D₁₉	C₂²	1	3	yes	—
5	C₄×C₁₉	C₂²	1	3	yes	—
6	Dic₁₉	C₂²	1	1	yes	characteristic
7	C₂×C₁₉	C₂³	1	1	yes	characteristic
8	D₁₉	—	2	3	no	—
9	C₁₉	#41	1	1	yes	characteristic, complemented, Sylow
10	#41	—	19	1	no	maximal, Sylow
11	Q₈	D₁₉	1	1	yes	characteristic, complemented
12	D₄	—	19	3	no	—
13	C₂×C₄	—	19	3	no	—
14	C₂²	—	19	3	no	—
15	C₄	—	19	1	no	—
16	C₄	C₂×D₁₉	1	3	yes	—
17	C₂	—	38	3	no	—
18	C₂	C₂²×D₁₉	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.