Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄○D₂₀

Direct product G=N×Q with N=C₃ and Q=C₄○D₂₀

		d	ρ	Label	ID
C₃×C₄○D₂₀		120	2	C3xC4oD20	240,158

Semidirect products G=N:Q with N=C₃ and Q=C₄○D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄○D₂₀) = D₆₀⋊C₂	φ: C₄○D₂₀/Dic₁₀ → C₂ ⊆ Aut C₃	120	4+	C3:1(C4oD20)	240,130
C₃⋊₂(C₄○D₂₀) = D₆.D₁₀	φ: C₄○D₂₀/C₄×D₅ → C₂ ⊆ Aut C₃	120	4	C3:2(C4oD20)	240,132
C₃⋊₃(C₄○D₂₀) = D₂₀⋊₅S₃	φ: C₄○D₂₀/D₂₀ → C₂ ⊆ Aut C₃	120	4-	C3:3(C4oD20)	240,126
C₃⋊₄(C₄○D₂₀) = Dic₅.D₆	φ: C₄○D₂₀/C₅⋊D₄ → C₂ ⊆ Aut C₃	120	4	C3:4(C4oD20)	240,140
C₃⋊₅(C₄○D₂₀) = D₆₀⋊₁₁C₂	φ: C₄○D₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₃	120	2	C3:5(C4oD20)	240,178

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