Extensions 1→N→G→Q→1 with N=C₅⋊D₄ and Q=Dic₃

Direct product G=N×Q with N=C₅⋊D₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₅⋊D₄		240		Dic3xC5:D4	480,629

Semidirect products G=N:Q with N=C₅⋊D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄⋊Dic₃ = D₄×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Out C₅⋊D₄	60	8	C5:D4:Dic3	480,1067
C₅⋊D₄⋊₂Dic₃ = Dic₁₅⋊₁₆D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₅⋊D₄	240		C5:D4:2Dic3	480,635

Non-split extensions G=N.Q with N=C₅⋊D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄.Dic₃ = Dic₁₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₅⋊D₄	240	8	C5:D4.Dic3	480,1066
C₅⋊D₄.₂Dic₃ = D₂₀.₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₅⋊D₄	240	4	C5:D4.2Dic3	480,360
C₅⋊D₄.₃Dic₃ = D₂₀.₃Dic₃	φ: trivial image	240	4	C5:D4.3Dic3	480,359

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Extensions 1→N→G→Q→1 with N=C5⋊D4 and Q=Dic3