Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂xC₂₀

Direct product G=NxQ with N=Dic₃ and Q=C₂xC₂₀

		d	ρ	Label	ID
Dic₃xC₂xC₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=Dic₃ and Q=C₂xC₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₂xC₂₀) = C₅xDic₃:₄D₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:1(C2xC20)	480,760
Dic₃:₂(C₂xC₂₀) = C₂₀xC₃:D₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:2(C2xC20)	480,807
Dic₃:₃(C₂xC₂₀) = C₅xS₃xC₄:C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C2xC20)	480,770
Dic₃:₄(C₂xC₂₀) = C₁₀xDic₃:C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	480		Dic3:4(C2xC20)	480,802
Dic₃:₅(C₂xC₂₀) = S₃xC₄xC₂₀	φ: trivial image	240		Dic3:5(C2xC20)	480,750

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂xC₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂xC₂₀) = C₂₀xDic₆	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.1(C2xC20)	480,747
Dic₃.₂(C₂xC₂₀) = C₅xDic₆:C₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.2(C2xC20)	480,766
Dic₃.₃(C₂xC₂₀) = C₅xC₈oD₁₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240	2	Dic3.3(C2xC20)	480,780
Dic₃.₄(C₂xC₂₀) = C₅xD₁₂.C₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.4(C2xC20)	480,786
Dic₃.₅(C₂xC₂₀) = C₅xC₄²:₂S₃	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.5(C2xC20)	480,751
Dic₃.₆(C₂xC₂₀) = C₅xC₂³.₁₆D₆	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C2xC20)	480,756
Dic₃.₇(C₂xC₂₀) = C₁₀xC₈:S₃	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C2xC20)	480,779
Dic₃.₈(C₂xC₂₀) = C₅xS₃xM₄(2)	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.8(C2xC20)	480,785
Dic₃.₉(C₂xC₂₀) = C₅xC₄:C₄:₇S₃	φ: trivial image	240		Dic3.9(C2xC20)	480,771
Dic₃.₁₀(C₂xC₂₀) = S₃xC₂xC₄₀	φ: trivial image	240		Dic3.10(C2xC20)	480,778

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