Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊₂D₂₀

Direct product G=N×Q with N=C₃ and Q=C₄⋊₂D₂₀

		d	ρ	Label	ID
C₃×C₄⋊₂D₂₀		240		C3xC4:2D20	480,688

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊₂D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊₂D₂₀) = D₃₀⋊₂D₄	φ: C₄⋊₂D₂₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:1(C4:2D20)	480,535
C₃⋊₂(C₄⋊₂D₂₀) = C₄⋊D₆₀	φ: C₄⋊₂D₂₀/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C4:2D20)	480,860
C₃⋊₃(C₄⋊₂D₂₀) = C₁₂⋊₇D₂₀	φ: C₄⋊₂D₂₀/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:3(C4:2D20)	480,526
C₃⋊₄(C₄⋊₂D₂₀) = Dic₃⋊D₂₀	φ: C₄⋊₂D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C4:2D20)	480,485
C₃⋊₅(C₄⋊₂D₂₀) = C₆₀⋊₁₁D₄	φ: C₄⋊₂D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:5(C4:2D20)	480,541

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