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

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

		d	ρ	Label	ID
C₃×C₈.D₁₀		240	4	C3xC8.D10	480,702

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈.D₁₀) = C₄₀.₂D₆	φ: C₈.D₁₀/C₄₀⋊C₂ → C₂ ⊆ Aut C₃	240	4-	C3:1(C8.D10)	480,350
C₃⋊₂(C₈.D₁₀) = Dic₂₀⋊S₃	φ: C₈.D₁₀/Dic₂₀ → C₂ ⊆ Aut C₃	240	4	C3:2(C8.D10)	480,339
C₃⋊₃(C₈.D₁₀) = C₈.D₃₀	φ: C₈.D₁₀/C₅×M₄(2) → C₂ ⊆ Aut C₃	240	4-	C3:3(C8.D10)	480,874
C₃⋊₄(C₈.D₁₀) = C₁₂.D₂₀	φ: C₈.D₁₀/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240	4	C3:4(C8.D10)	480,391
C₃⋊₅(C₈.D₁₀) = C₆₀.₆₃D₄	φ: C₈.D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4-	C3:5(C8.D10)	480,389

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