Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄×C₁₂

Direct product G=N×Q with N=C₅ and Q=D₄×C₁₂

		d	ρ	Label	ID
D₄×C₆₀		240		D4xC60	480,923

Semidirect products G=N:Q with N=C₅ and Q=D₄×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(D₄×C₁₂) = C₃×D₄×F₅	φ: D₄×C₁₂/C₃×D₄ → C₄ ⊆ Aut C₅	60	8	C5:(D4xC12)	480,1054
C₅⋊₂(D₄×C₁₂) = C₁₂×D₂₀	φ: D₄×C₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:2(D4xC12)	480,666
C₅⋊₃(D₄×C₁₂) = C₃×Dic₅⋊₄D₄	φ: D₄×C₁₂/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(D4xC12)	480,674
C₅⋊₄(D₄×C₁₂) = C₃×D₂₀⋊₈C₄	φ: D₄×C₁₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(D4xC12)	480,686
C₅⋊₅(D₄×C₁₂) = C₁₂×C₅⋊D₄	φ: D₄×C₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:5(D4xC12)	480,721
C₅⋊₆(D₄×C₁₂) = C₃×D₄×Dic₅	φ: D₄×C₁₂/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:6(D4xC12)	480,727

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