Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊D₂₀

Direct product G=N×Q with N=C₃ and Q=C₂²⋊D₂₀

		d	ρ	Label	ID
C₃×C₂²⋊D₂₀		120		C3xC2^2:D20	480,675

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²⋊D₂₀) = D₃₀⋊₅D₄	φ: C₂²⋊D₂₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	120		C3:1(C2^2:D20)	480,552
C₃⋊₂(C₂²⋊D₂₀) = D₃₀⋊₁₆D₄	φ: C₂²⋊D₂₀/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	120		C3:2(C2^2:D20)	480,847
C₃⋊₃(C₂²⋊D₂₀) = D₆⋊₄D₂₀	φ: C₂²⋊D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	120		C3:3(C2^2:D20)	480,550
C₃⋊₄(C₂²⋊D₂₀) = D₃₀⋊₁₈D₄	φ: C₂²⋊D₂₀/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120		C3:4(C2^2:D20)	480,648
C₃⋊₅(C₂²⋊D₂₀) = (C₂×C₆)⋊₈D₂₀	φ: C₂²⋊D₂₀/C₂³×D₅ → C₂ ⊆ Aut C₃	120		C3:5(C2^2:D20)	480,640

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