Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₂₀⋊Q₈

		d	ρ	Label	ID
C₃×C₂₀⋊Q₈		480		C3xC20:Q8	480,681

Semidirect products G=N:Q with N=C₃ and Q=C₂₀⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀⋊Q₈) = C₆₀⋊Q₈	φ: C₂₀⋊Q₈/C₄×Dic₅ → C₂ ⊆ Aut C₃	480		C3:1(C20:Q8)	480,544
C₃⋊₂(C₂₀⋊Q₈) = Dic₃⋊Dic₁₀	φ: C₂₀⋊Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	480		C3:2(C20:Q8)	480,404
C₃⋊₃(C₂₀⋊Q₈) = C₂₀⋊Dic₆	φ: C₂₀⋊Q₈/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	480		C3:3(C20:Q8)	480,546
C₃⋊₄(C₂₀⋊Q₈) = C₄⋊Dic₃₀	φ: C₂₀⋊Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	480		C3:4(C20:Q8)	480,853
C₃⋊₅(C₂₀⋊Q₈) = Dic₁₅⋊₁Q₈	φ: C₂₀⋊Q₈/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	480		C3:5(C20:Q8)	480,403

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