Extensions 1→N→G→Q→1 with N=D₆ and Q=C₅×Q₈

Direct product G=N×Q with N=D₆ and Q=C₅×Q₈

		d	ρ	Label	ID
S₃×Q₈×C₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=D₆ and Q=C₅×Q₈

extension	φ:Q→Out N	d	Label	ID
D₆⋊₁(C₅×Q₈) = C₅×D₆⋊Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₆	240	D6:1(C5xQ8)	480,775
D₆⋊₂(C₅×Q₈) = C₅×C₄.D₁₂	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₆	240	D6:2(C5xQ8)	480,776
D₆⋊₃(C₅×Q₈) = C₅×D₆⋊₃Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Out D₆	240	D6:3(C5xQ8)	480,825

Non-split extensions G=N.Q with N=D₆ and Q=C₅×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₅×Q₈) = C₅×S₃×C₄⋊C₄	φ: trivial image	240		D6.(C5xQ8)	480,770

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Extensions 1→N→G→Q→1 with N=D6 and Q=C5×Q8