Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄xC₁₂

Direct product G=NxQ with N=C₅ and Q=D₄xC₁₂

		d	ρ	Label	ID
D₄xC₆₀		240		D4xC60	480,923

Semidirect products G=N:Q with N=C₅ and Q=D₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(D₄xC₁₂) = C₃xD₄xF₅	φ: D₄xC₁₂/C₃xD₄ → C₄ ⊆ Aut C₅	60	8	C5:(D4xC12)	480,1054
C₅:₂(D₄xC₁₂) = C₁₂xD₂₀	φ: D₄xC₁₂/C₄xC₁₂ → C₂ ⊆ Aut C₅	240		C5:2(D4xC12)	480,666
C₅:₃(D₄xC₁₂) = C₃xDic₅:₄D₄	φ: D₄xC₁₂/C₃xC₂²:C₄ → C₂ ⊆ Aut C₅	240		C5:3(D4xC12)	480,674
C₅:₄(D₄xC₁₂) = C₃xD₂₀:₈C₄	φ: D₄xC₁₂/C₃xC₄:C₄ → C₂ ⊆ Aut C₅	240		C5:4(D4xC12)	480,686
C₅:₅(D₄xC₁₂) = C₁₂xC₅:D₄	φ: D₄xC₁₂/C₂²xC₁₂ → C₂ ⊆ Aut C₅	240		C5:5(D4xC12)	480,721
C₅:₆(D₄xC₁₂) = C₃xD₄xDic₅	φ: D₄xC₁₂/C₆xD₄ → C₂ ⊆ Aut C₅	240		C5:6(D4xC12)	480,727

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