Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₃×Q₈

Direct product G=N×Q with N=D₁₀ and Q=C₃×Q₈

		d	ρ	Label	ID
C₆×Q₈×D₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=D₁₀ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₃×Q₈) = C₃×D₁₀⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:1(C3xQ8)	480,689
D₁₀⋊₂(C₃×Q₈) = C₃×D₁₀⋊₂Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:2(C3xQ8)	480,690
D₁₀⋊₃(C₃×Q₈) = C₃×D₁₀⋊₃Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:3(C3xQ8)	480,739

Non-split extensions G=N.Q with N=D₁₀ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₃×Q₈) = C₃×C₄₀.C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.1(C3xQ8)	480,275
D₁₀.₂(C₃×Q₈) = C₃×D₁₀.Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.2(C3xQ8)	480,276
D₁₀.₃(C₃×Q₈) = C₃×D₁₀.₃Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.3(C3xQ8)	480,286
D₁₀.₄(C₃×Q₈) = C₆×C₄⋊F₅	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.4(C3xQ8)	480,1051
D₁₀.₅(C₃×Q₈) = C₃×D₅×C₄⋊C₄	φ: trivial image	240		D10.5(C3xQ8)	480,684

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