Subgroups — D₁₄₄₄ #72210208

Order 2888.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₃₆₁	C₂	1	2	yes	maximal, complemented
2	C₄×C₃₆₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₆₁	C₂²	1	1	yes	characteristic
4	D₃₆₁	—	2	2	no	—
5	C₃₆₁	D₄	1	1	yes	characteristic, complemented, Sylow
6	D₇₆	—	19	1	no	maximal
7	C₂×D₁₉	—	19	2	no	—
8	C₄×C₁₉	D₁₉	1	1	yes	characteristic
9	C₂×C₁₉	C₂×D₁₉	1	1	yes	characteristic
10	D₁₉	—	38	2	no	—
11	C₁₉	D₇₆	1	1	yes	characteristic
12	D₄	—	361	1	no	Sylow
13	C₂²	—	361	2	no	—
14	C₄	D₃₆₁	1	1	yes	characteristic, complemented
15	C₂	—	722	2	no	—
16	C₂	C₂×D₃₆₁	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.