Subgroups — D₄₆₆₀ #72211458

Order 9320.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₁₆₅	C₂	1	2	yes	maximal, complemented
2	C₄×C₅×C₂₃₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×C₂₃₃	C₂²	1	1	yes	characteristic
4	D₁₁₆₅	—	2	2	no	—
5	D₉₃₂	—	5	1	no	maximal, Hall
6	C₅×C₂₃₃	D₄	1	1	yes	characteristic, complemented, Hall
7	C₂×D₂₃₃	—	5	2	no	—
8	C₄×C₂₃₃	D₅	1	1	yes	characteristic, complemented
9	C₂×C₂₃₃	C₂×D₅	1	1	yes	characteristic
10	D₂₃₃	—	10	2	no	—
11	C₂₃₃	D₂₀	1	1	yes	characteristic, complemented, Sylow
12	D₂₀	—	233	1	no	maximal, Hall
13	C₂×D₅	—	233	2	no	—
14	C₄×C₅	D₂₃₃	1	1	yes	characteristic, complemented
15	C₂×C₅	C₂×D₂₃₃	1	1	yes	characteristic
16	D₅	—	466	2	no	—
17	D₄	—	1165	1	no	Sylow
18	C₅	D₉₃₂	1	1	yes	characteristic, complemented, Sylow
19	C₂²	—	1165	2	no	—
20	C₄	D₁₁₆₅	1	1	yes	characteristic, complemented
21	C₂	—	2330	2	no	—
22	C₂	C₂×D₁₁₆₅	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.