Subgroups — D₁₇₉₈₄ #49093516

Order 35968.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₈₉₉₂	C₂	1	2	yes	maximal, complemented
2	C₆₄×C₂₈₁	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄₄₉₆	—	2	2	no	—
4	C₃₂×C₂₈₁	C₂²	1	1	yes	characteristic
5	D₂₂₄₈	—	4	2	no	—
6	C₁₆×C₂₈₁	D₄	1	1	yes	characteristic
7	D₁₁₂₄	—	8	2	no	—
8	C₈×C₂₈₁	D₈	1	1	yes	characteristic
9	C₂×D₂₈₁	—	16	2	no	—
10	C₄×C₂₈₁	D₁₆	1	1	yes	characteristic
11	C₂×C₂₈₁	D₃₂	1	1	yes	characteristic
12	D₂₈₁	—	32	2	no	—
13	C₂₈₁	D₆₄	1	1	yes	characteristic, complemented, Sylow
14	D₆₄	—	281	1	no	maximal, Sylow
15	D₃₂	—	281	2	no	—
16	C₆₄	D₂₈₁	1	1	yes	characteristic, complemented
17	D₁₆	—	562	2	no	—
18	C₃₂	C₂×D₂₈₁	1	1	yes	characteristic
19	D₈	—	1124	2	no	—
20	C₁₆	D₁₁₂₄	1	1	yes	characteristic
21	D₄	—	2248	2	no	—
22	C₈	D₂₂₄₈	1	1	yes	characteristic
23	C₂²	—	4496	2	no	—
24	C₄	D₄₄₉₆	1	1	yes	characteristic
25	C₂	—	8992	2	no	—
26	C₂	D₈₉₉₂	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.