Subgroups — Dic₂₇₉₉ #26014166

Order 11196.

18 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×C₃₁₁	C₂	1	1	yes	maximal, characteristic
2	Dic₉₃₃	—	3	1	no	maximal
3	C₉×C₃₁₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₃×C₃₁₁	D₃	1	1	yes	characteristic
5	Dic₃₁₁	—	9	1	no	Hall
6	C₃×C₃₁₁	Dic₃	1	1	yes	characteristic
7	C₂×C₃₁₁	D₉	1	1	yes	characteristic
8	C₃₁₁	Dic₉	1	1	yes	characteristic, complemented, Sylow
9	Dic₉	—	311	1	no	maximal, Hall
10	C₂×C₉	D₃₁₁	1	1	yes	characteristic
11	Dic₃	—	933	1	no	—
12	C₉	Dic₃₁₁	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₃	D₉₃₃	1	1	yes	characteristic
14	C₄	—	2799	1	no	Sylow
15	C₃	Dic₉₃₃	1	1	yes	characteristic
16	C₂	D₂₇₉₉	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.