Subgroups — D₂₀₈₃⋊C₉ #49154202

Order 37494.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₀₈₃⋊C₉	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₂₀₈₃	C₃	1	1	yes	maximal, characteristic
3	C₃×C₂₀₈₃	C₂×C₃	1	1	yes	characteristic
4	D₂₀₈₃	C₉	1	1	yes	characteristic, complemented, Hall
5	C₂₀₈₃	C₂×C₉	1	1	yes	characteristic, complemented, Sylow
6	C₂×C₉	—	2083	1	no	maximal, Hall
7	C₉	—	2083	1	no	Sylow
8	C₂×C₃	—	2083	1	no	—
9	C₃	D₂₀₈₃⋊C₃	1	1	yes	characteristic
10	C₂	—	2083	1	no	Sylow

	subgroup	G/H
center, Frattini, hypercenter	C₃	D₂₀₈₃⋊C₃
commutator, hypocenter	C₂₀₈₃	C₂×C₉
Fitting, socle, cosocle	C₃×C₂₀₈₃	C₂×C₃
prime radical	C₃×D₂₀₈₃	C₃
LCS	G ▷ C₂₀₈₃
UCS	C₁ ◁ C₃

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.