Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄₀⋊₈C₄

Direct product G=N×Q with N=C₃ and Q=C₄₀⋊₈C₄

		d	ρ	Label	ID
C₃×C₄₀⋊₈C₄		480		C3xC40:8C4	480,93

Semidirect products G=N:Q with N=C₃ and Q=C₄₀⋊₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄₀⋊₈C₄) = C₃₀.₂₃C₄²	φ: C₄₀⋊₈C₄/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	480		C3:1(C40:8C4)	480,30
C₃⋊₂(C₄₀⋊₈C₄) = C₃₀.₂₁C₄²	φ: C₄₀⋊₈C₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	480		C3:2(C40:8C4)	480,28
C₃⋊₃(C₄₀⋊₈C₄) = C₁₂₀⋊₁₃C₄	φ: C₄₀⋊₈C₄/C₂×C₄₀ → C₂ ⊆ Aut C₃	480		C3:3(C40:8C4)	480,175

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