Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅⋊C₈

Direct product G=N×Q with N=D₄ and Q=C₅⋊C₈

		d	ρ	Label	ID
D₄×C₅⋊C₈		160		D4xC5:C8	320,1110

Semidirect products G=N:Q with N=D₄ and Q=C₅⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₅⋊C₈) = Dic₅.₂₃D₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Out D₄	160		D4:(C5:C8)	320,262

Non-split extensions G=N.Q with N=D₄ and Q=C₅⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅⋊C₈) = D₄.(C₅⋊C₈)	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Out D₄	160	8	D4.(C5:C8)	320,270
D₄.₂(C₅⋊C₈) = C₅⋊C₁₆.C₂²	φ: trivial image	160	8	D4.2(C5:C8)	320,1129

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5⋊C8