Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×C₂₀

Direct product G=N×Q with N=Dic₃ and Q=C₂×C₂₀

		d	ρ	Label	ID
Dic₃×C₂×C₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₂₀) = C₅×Dic₃⋊₄D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:1(C2xC20)	480,760
Dic₃⋊₂(C₂×C₂₀) = C₂₀×C₃⋊D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:2(C2xC20)	480,807
Dic₃⋊₃(C₂×C₂₀) = C₅×S₃×C₄⋊C₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C2xC20)	480,770
Dic₃⋊₄(C₂×C₂₀) = C₁₀×Dic₃⋊C₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	480		Dic3:4(C2xC20)	480,802
Dic₃⋊₅(C₂×C₂₀) = S₃×C₄×C₂₀	φ: trivial image	240		Dic3:5(C2xC20)	480,750

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₂₀) = C₂₀×Dic₆	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.1(C2xC20)	480,747
Dic₃.₂(C₂×C₂₀) = C₅×Dic₆⋊C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.2(C2xC20)	480,766
Dic₃.₃(C₂×C₂₀) = C₅×C₈○D₁₂	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240	2	Dic3.3(C2xC20)	480,780
Dic₃.₄(C₂×C₂₀) = C₅×D₁₂.C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.4(C2xC20)	480,786
Dic₃.₅(C₂×C₂₀) = C₅×C₄²⋊₂S₃	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.5(C2xC20)	480,751
Dic₃.₆(C₂×C₂₀) = C₅×C₂³.₁₆D₆	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C2xC20)	480,756
Dic₃.₇(C₂×C₂₀) = C₁₀×C₈⋊S₃	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C2xC20)	480,779
Dic₃.₈(C₂×C₂₀) = C₅×S₃×M₄(2)	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.8(C2xC20)	480,785
Dic₃.₉(C₂×C₂₀) = C₅×C₄⋊C₄⋊₇S₃	φ: trivial image	240		Dic3.9(C2xC20)	480,771
Dic₃.₁₀(C₂×C₂₀) = S₃×C₂×C₄₀	φ: trivial image	240		Dic3.10(C2xC20)	480,778

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