Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂.₁₀D₄

Direct product G=N×Q with N=C₅ and Q=C₁₂.₁₀D₄

		d	ρ	Label	ID
C₅×C₁₂.₁₀D₄		240	4	C5xC12.10D4	480,155

Semidirect products G=N:Q with N=C₅ and Q=C₁₂.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₁₂.₁₀D₄) = (C₂×C₆₀).C₄	φ: C₁₂.₁₀D₄/C₂×C₁₂ → C₄ ⊆ Aut C₅	240	4	C5:(C12.10D4)	480,310
C₅⋊₂(C₁₂.₁₀D₄) = C₁₂.₆D₂₀	φ: C₁₂.₁₀D₄/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4	C5:2(C12.10D4)	480,37
C₅⋊₃(C₁₂.₁₀D₄) = C₆₀.₁₀D₄	φ: C₁₂.₁₀D₄/C₆×Q₈ → C₂ ⊆ Aut C₅	240	4	C5:3(C12.10D4)	480,196

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