Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄⋊F₅

Direct product G=N×Q with N=C₂ and Q=C₄⋊F₅

		d	ρ	Label	ID
C₂×C₄⋊F₅		40		C2xC4:F5	160,204

Non-split extensions G=N.Q with N=C₂ and Q=C₄⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄⋊F₅) = C₂₀⋊C₈	central extension (φ=1)	160		C2.1(C4:F5)	160,76
C₂.₂(C₄⋊F₅) = Dic₅⋊C₈	central extension (φ=1)	160		C2.2(C4:F5)	160,79
C₂.₃(C₄⋊F₅) = D₁₀.₃Q₈	central extension (φ=1)	40		C2.3(C4:F5)	160,81
C₂.₄(C₄⋊F₅) = C₄₀⋊C₄	central stem extension (φ=1)	40	4	C2.4(C4:F5)	160,68
C₂.₅(C₄⋊F₅) = D₅.D₈	central stem extension (φ=1)	40	4	C2.5(C4:F5)	160,69
C₂.₆(C₄⋊F₅) = C₄₀.C₄	central stem extension (φ=1)	80	4	C2.6(C4:F5)	160,70
C₂.₇(C₄⋊F₅) = D₁₀.Q₈	central stem extension (φ=1)	80	4	C2.7(C4:F5)	160,71

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁