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
C₅×C₄○D₁₂		120	2	C5xC4oD12	240,168

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄○D₁₂) = C₁₂.₂₈D₁₀	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₅	120	4+	C5:1(C4oD12)	240,134
C₅⋊₂(C₄○D₁₂) = D₆.D₁₀	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₅	120	4	C5:2(C4oD12)	240,132
C₅⋊₃(C₄○D₁₂) = D₁₂⋊₅D₅	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₅	120	4-	C5:3(C4oD12)	240,133
C₅⋊₄(C₄○D₁₂) = Dic₃.D₁₀	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₅	120	4	C5:4(C4oD12)	240,143
C₅⋊₅(C₄○D₁₂) = D₆₀⋊₁₁C₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₅	120	2	C5:5(C4oD12)	240,178

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