Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀.C₂³

Direct product G=N×Q with N=C₃ and Q=C₂₀.C₂³

		d	ρ	Label	ID
C₃×C₂₀.C₂³		240	4	C3xC20.C2^3	480,735

Semidirect products G=N:Q with N=C₃ and Q=C₂₀.C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀.C₂³) = C₂₀.D₁₂	φ: C₂₀.C₂³/C₄.Dic₅ → C₂ ⊆ Aut C₃	240	4	C3:1(C20.C2^3)	480,397
C₃⋊₂(C₂₀.C₂³) = D₂₀.₂₈D₆	φ: C₂₀.C₂³/Q₈⋊D₅ → C₂ ⊆ Aut C₃	240	8-	C3:2(C20.C2^3)	480,594
C₃⋊₃(C₂₀.C₂³) = C₆₀.₄₄C₂³	φ: C₂₀.C₂³/C₅⋊Q₁₆ → C₂ ⊆ Aut C₃	240	8+	C3:3(C20.C2^3)	480,596
C₃⋊₄(C₂₀.C₂³) = D₂₀.₃₇D₆	φ: C₂₀.C₂³/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4	C3:4(C20.C2^3)	480,383
C₃⋊₅(C₂₀.C₂³) = Q₈.₁₁D₃₀	φ: C₂₀.C₂³/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240	4	C3:5(C20.C2^3)	480,907

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