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

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

		d	ρ	Label	ID
C₅×C₁₂.D₄		120	4	C5xC12.D4	480,152

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₁₂.D₄) = C₅⋊(C₁₂.D₄)	φ: C₁₂.D₄/C₂²×C₆ → C₄ ⊆ Aut C₅	120	4	C5:(C12.D4)	480,318
C₅⋊₂(C₁₂.D₄) = C₆₀.₂₈D₄	φ: C₁₂.D₄/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:2(C12.D4)	480,34
C₅⋊₃(C₁₂.D₄) = C₆₀.₈D₄	φ: C₁₂.D₄/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:3(C12.D4)	480,193

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