Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×C₂₀

Direct product G=N×Q with N=D₆ and Q=C₂×C₂₀

		d	ρ	Label	ID
S₃×C₂²×C₂₀		240		S3xC2^2xC20	480,1151

Semidirect products G=N:Q with N=D₆ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₂₀) = C₂₀×D₁₂	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:1(C2xC20)	480,752
D₆⋊₂(C₂×C₂₀) = C₅×Dic₃⋊₄D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:2(C2xC20)	480,760
D₆⋊₃(C₂×C₂₀) = C₅×Dic₃⋊₅D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:3(C2xC20)	480,772
D₆⋊₄(C₂×C₂₀) = C₂₀×C₃⋊D₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:4(C2xC20)	480,807
D₆⋊₅(C₂×C₂₀) = C₅×S₃×C₂²⋊C₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out D₆	120		D6:5(C2xC20)	480,759
D₆⋊₆(C₂×C₂₀) = C₁₀×D₆⋊C₄	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6:6(C2xC20)	480,806

Non-split extensions G=N.Q with N=D₆ and Q=C₂×C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₂₀) = C₅×C₈○D₁₂	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240	2	D6.1(C2xC20)	480,780
D₆.₂(C₂×C₂₀) = C₅×D₁₂.C₄	φ: C₂×C₂₀/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.2(C2xC20)	480,786
D₆.₃(C₂×C₂₀) = C₅×C₄²⋊₂S₃	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.3(C2xC20)	480,751
D₆.₄(C₂×C₂₀) = C₅×C₄⋊C₄⋊₇S₃	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.4(C2xC20)	480,771
D₆.₅(C₂×C₂₀) = C₁₀×C₈⋊S₃	φ: C₂×C₂₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.5(C2xC20)	480,779
D₆.₆(C₂×C₂₀) = S₃×C₄×C₂₀	φ: trivial image	240		D6.6(C2xC20)	480,750
D₆.₇(C₂×C₂₀) = C₅×S₃×C₄⋊C₄	φ: trivial image	240		D6.7(C2xC20)	480,770
D₆.₈(C₂×C₂₀) = S₃×C₂×C₄₀	φ: trivial image	240		D6.8(C2xC20)	480,778
D₆.₉(C₂×C₂₀) = C₅×S₃×M₄(2)	φ: trivial image	120	4	D6.9(C2xC20)	480,785

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