Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×D₁₂

Direct product G=N×Q with N=C₅ and Q=C₄×D₁₂

		d	ρ	Label	ID
C₂₀×D₁₂		240		C20xD12	480,752

Semidirect products G=N:Q with N=C₅ and Q=C₄×D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×D₁₂) = F₅×D₁₂	φ: C₄×D₁₂/D₁₂ → C₄ ⊆ Aut C₅	60	8+	C5:(C4xD12)	480,995
C₅⋊₂(C₄×D₁₂) = D₆₀⋊₁₇C₄	φ: C₄×D₁₂/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C4xD12)	480,494
C₅⋊₃(C₄×D₁₂) = Dic₅⋊₄D₁₂	φ: C₄×D₁₂/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C4xD12)	480,481
C₅⋊₄(C₄×D₁₂) = C₄×D₆₀	φ: C₄×D₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C4xD12)	480,838
C₅⋊₅(C₄×D₁₂) = C₄×C₅⋊D₁₂	φ: C₄×D₁₂/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:5(C4xD12)	480,521
C₅⋊₆(C₄×D₁₂) = Dic₅×D₁₂	φ: C₄×D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:6(C4xD12)	480,491

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