Extensions 1→N→G→Q→1 with N=C₅ and Q=D₁₂⋊₆C₂²

Direct product G=N×Q with N=C₅ and Q=D₁₂⋊₆C₂²

		d	ρ	Label	ID
C₅×D₁₂⋊₆C₂²		120	4	C5xD12:6C2^2	480,811

Semidirect products G=N:Q with N=C₅ and Q=D₁₂⋊₆C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₁₂⋊₆C₂²) = D₆₀⋊₃₀C₂²	φ: D₁₂⋊₆C₂²/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:1(D12:6C2^2)	480,388
C₅⋊₂(D₁₂⋊₆C₂²) = D₁₂⋊₁₀D₁₀	φ: D₁₂⋊₆C₂²/D₄⋊S₃ → C₂ ⊆ Aut C₅	120	8-	C5:2(D12:6C2^2)	480,565
C₅⋊₃(D₁₂⋊₆C₂²) = D₂₀.₉D₆	φ: D₁₂⋊₆C₂²/D₄.S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(D12:6C2^2)	480,567
C₅⋊₄(D₁₂⋊₆C₂²) = C₆₀.₃₆D₄	φ: D₁₂⋊₆C₂²/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(D12:6C2^2)	480,374
C₅⋊₅(D₁₂⋊₆C₂²) = D₄.D₃₀	φ: D₁₂⋊₆C₂²/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:5(D12:6C2^2)	480,897

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