Extensions 1→N→G→Q→1 with N=C₂ and Q=C₅×D₂₀

Direct product G=N×Q with N=C₂ and Q=C₅×D₂₀

		d	ρ	Label	ID
C₁₀×D₂₀		80		C10xD20	400,183

Non-split extensions G=N.Q with N=C₂ and Q=C₅×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₅×D₂₀) = C₅×C₄⋊Dic₅	central extension (φ=1)	80		C2.1(C5xD20)	400,85
C₂.₂(C₅×D₂₀) = C₅×D₁₀⋊C₄	central extension (φ=1)	80		C2.2(C5xD20)	400,86
C₂.₃(C₅×D₂₀) = C₅×C₄₀⋊C₂	central stem extension (φ=1)	80	2	C2.3(C5xD20)	400,78
C₂.₄(C₅×D₂₀) = C₅×D₄₀	central stem extension (φ=1)	80	2	C2.4(C5xD20)	400,79
C₂.₅(C₅×D₂₀) = C₅×Dic₂₀	central stem extension (φ=1)	80	2	C2.5(C5xD20)	400,80

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁