Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₃⋊C₈

Direct product G=N×Q with N=D₁₀ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₂×D₅×C₃⋊C₈		240		C2xD5xC3:C8	480,357

Semidirect products G=N:Q with N=D₁₀ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₃⋊C₈) = C₆₀.₉₃D₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:1(C3:C8)	480,31
D₁₀⋊₂(C₃⋊C₈) = C₃₀.₇M₄(2)	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:2(C3:C8)	480,308
D₁₀⋊₃(C₃⋊C₈) = C₂×C₆₀.C₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:3(C3:C8)	480,1060

Non-split extensions G=N.Q with N=D₁₀ and Q=C₃⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₃⋊C₈) = C₄₀.₅₁D₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.1(C3:C8)	480,10
D₁₀.₂(C₃⋊C₈) = C₂₄.F₅	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.2(C3:C8)	480,294
D₁₀.₃(C₃⋊C₈) = C₁₂₀.C₄	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.3(C3:C8)	480,295
D₁₀.₄(C₃⋊C₈) = D₅×C₃⋊C₁₆	φ: trivial image	240	4	D10.4(C3:C8)	480,7

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