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		240		C3xC4:D20	480,688

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) = D₃₀⋊₂D₄	φ: C₄⋊D₂₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:1(C4:D20)	480,535
C₃⋊₂(C₄⋊D₂₀) = C₄⋊D₆₀	φ: C₄⋊D₂₀/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C4:D20)	480,860
C₃⋊₃(C₄⋊D₂₀) = C₁₂⋊₇D₂₀	φ: C₄⋊D₂₀/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:3(C4:D20)	480,526
C₃⋊₄(C₄⋊D₂₀) = Dic₃⋊D₂₀	φ: C₄⋊D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C4:D20)	480,485
C₃⋊₅(C₄⋊D₂₀) = C₁₂⋊₂D₂₀	φ: C₄⋊D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:5(C4:D20)	480,541

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