Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄×Q₈

Direct product G=N×Q with N=D₅ and Q=C₄×Q₈

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=D₅ and Q=C₄×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄×Q₈) = C₂×Q₈×F₅	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Out D₅	80		D5:(C4xQ8)	320,1599

Non-split extensions G=N.Q with N=D₅ and Q=C₄×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₄×Q₈) = C₄×C₄⋊F₅	φ: C₄×Q₈/C₄² → C₂ ⊆ Out D₅	80		D5.1(C4xQ8)	320,1025
D₅.₂(C₄×Q₈) = C₄⋊C₄×F₅	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Out D₅	80		D5.2(C4xQ8)	320,1048

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Extensions 1→N→G→Q→1 with N=D5 and Q=C4×Q8