Subgroups — D₁₄₀ #63321

Order 280.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₃₅	C₂	1	2	yes	maximal, complemented
2	C₄×C₅×C₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×C₇	C₂²	1	1	yes	characteristic
4	D₃₅	—	2	2	no	—
5	D₂₈	—	5	1	no	maximal, Hall
6	D₂₀	—	7	1	no	maximal, Hall
7	C₅×C₇	D₄	1	1	yes	characteristic, complemented, Hall
8	C₂×D₇	—	5	2	no	—
9	C₄×C₇	D₅	1	1	yes	characteristic, complemented
10	C₂×D₅	—	7	2	no	—
11	C₄×C₅	D₇	1	1	yes	characteristic, complemented
12	C₂×C₇	C₂×D₅	1	1	yes	characteristic
13	D₇	—	10	2	no	—
14	C₂×C₅	C₂×D₇	1	1	yes	characteristic
15	D₅	—	14	2	no	—
16	D₄	—	35	1	no	Sylow
17	C₇	D₂₀	1	1	yes	characteristic, complemented, Sylow
18	C₅	D₂₈	1	1	yes	characteristic, complemented, Sylow
19	C₂²	—	35	2	no	—
20	C₄	D₃₅	1	1	yes	characteristic, complemented
21	C₂	—	70	2	no	—
22	C₂	C₂×D₃₅	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.