Subgroups — D₁₀₅₉₂ #35233228

Order 21184.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅₂₉₆	C₂	1	2	yes	maximal, complemented
2	C₃₂×C₃₃₁	C₂	1	1	yes	maximal, characteristic, complemented
3	D₂₆₄₈	—	2	2	no	—
4	C₁₆×C₃₃₁	C₂²	1	1	yes	characteristic
5	D₁₃₂₄	—	4	2	no	—
6	C₈×C₃₃₁	D₄	1	1	yes	characteristic
7	C₂×D₃₃₁	—	8	2	no	—
8	C₄×C₃₃₁	D₈	1	1	yes	characteristic
9	C₂×C₃₃₁	D₁₆	1	1	yes	characteristic
10	D₃₃₁	—	16	2	no	—
11	C₃₃₁	D₃₂	1	1	yes	characteristic, complemented, Sylow
12	D₃₂	—	331	1	no	maximal, Sylow
13	D₁₆	—	331	2	no	—
14	C₃₂	D₃₃₁	1	1	yes	characteristic, complemented
15	D₈	—	662	2	no	—
16	C₁₆	C₂×D₃₃₁	1	1	yes	characteristic
17	D₄	—	1324	2	no	—
18	C₈	D₁₃₂₄	1	1	yes	characteristic
19	C₂²	—	2648	2	no	—
20	C₄	D₂₆₄₈	1	1	yes	characteristic
21	C₂	—	5296	2	no	—
22	C₂	D₅₂₉₆	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.