Subgroups — D₉₆₈ #14515413

Order 1936.

33 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄₈₄	C₂	1	2	yes	maximal, complemented
2	C₈×C₁₂₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₁₂₁	—	2	2	no	—
4	C₄×C₁₂₁	C₂²	1	1	yes	characteristic
5	C₂×C₁₂₁	D₄	1	1	yes	characteristic
6	D₁₂₁	—	4	2	no	—
7	D₈₈	—	11	1	no	maximal
8	C₁₂₁	D₈	1	1	yes	characteristic, complemented, Sylow
9	D₄₄	—	11	2	no	—
10	C₈×C₁₁	D₁₁	1	1	yes	characteristic
11	C₂×D₁₁	—	22	2	no	—
12	C₄×C₁₁	C₂×D₁₁	1	1	yes	characteristic
13	C₂×C₁₁	D₄₄	1	1	yes	characteristic
14	D₁₁	—	44	2	no	—
15	D₈	—	121	1	no	Sylow
16	C₁₁	D₈₈	1	1	yes	characteristic
17	D₄	—	121	2	no	—
18	C₈	D₁₂₁	1	1	yes	characteristic, complemented
19	C₂²	—	242	2	no	—
20	C₄	C₂×D₁₂₁	1	1	yes	characteristic
21	C₂	—	484	2	no	—
22	C₂	D₄₈₄	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.