Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅×Q₈

Direct product G=N×Q with N=D₄ and Q=C₅×Q₈

		d	ρ	Label	ID
C₅×D₄×Q₈		160		C5xD4xQ8	320,1551

Semidirect products G=N:Q with N=D₄ and Q=C₅×Q₈

extension	φ:Q→Out N	d	Label	ID
D₄⋊₁(C₅×Q₈) = C₅×D₄⋊Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₄	160	D4:1(C5xQ8)	320,975
D₄⋊₂(C₅×Q₈) = C₅×D₄⋊₂Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₄	160	D4:2(C5xQ8)	320,977
D₄⋊₃(C₅×Q₈) = C₅×D₄⋊₃Q₈	φ: trivial image	160	D4:3(C5xQ8)	320,1556

Non-split extensions G=N.Q with N=D₄ and Q=C₅×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅×Q₈) = C₅×D₄.Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₄	160		D4.(C5xQ8)	320,979

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5×Q8