Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊₈C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊₈C₄

		d	ρ	Label	ID
C₃×D₂₀⋊₈C₄		240		C3xD20:8C4	480,686

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊₈C₄) = D₆₀⋊₁₇C₄	φ: D₂₀⋊₈C₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(D20:8C4)	480,494
C₃⋊₂(D₂₀⋊₈C₄) = Dic₁₅⋊₁₃D₄	φ: D₂₀⋊₈C₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(D20:8C4)	480,472
C₃⋊₃(D₂₀⋊₈C₄) = D₆₀⋊₁₁C₄	φ: D₂₀⋊₈C₄/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(D20:8C4)	480,858
C₃⋊₄(D₂₀⋊₈C₄) = C₁₅⋊₂₀(C₄×D₄)	φ: D₂₀⋊₈C₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:4(D20:8C4)	480,520
C₃⋊₅(D₂₀⋊₈C₄) = D₂₀⋊₈Dic₃	φ: D₂₀⋊₈C₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:5(D20:8C4)	480,510

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