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

Direct product G=NxQ with N=C₅:D₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₅: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 = D₄xC₃: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

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