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

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

		d	ρ	Label	ID
C₅×D₁₂⋊C₄		120	4	C5xD12:C4	480,144

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₁₂⋊C₄) = D₆₀⋊₂C₄	φ: D₁₂⋊C₄/Dic₆ → C₄ ⊆ Aut C₅	120	8+	C5:1(D12:C4)	480,233
C₅⋊₂(D₁₂⋊C₄) = D₁₂⋊₄F₅	φ: D₁₂⋊C₄/D₁₂ → C₄ ⊆ Aut C₅	120	8-	C5:2(D12:C4)	480,231
C₅⋊₃(D₁₂⋊C₄) = D₆₀⋊₁₃C₄	φ: D₁₂⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:3(D12:C4)	480,56
C₅⋊₄(D₁₂⋊C₄) = D₆₀⋊₁₀C₄	φ: D₁₂⋊C₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	120	4	C5:4(D12:C4)	480,185
C₅⋊₅(D₁₂⋊C₄) = C₆₀.₉₈D₄	φ: D₁₂⋊C₄/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:5(D12:C4)	480,54

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