Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=C₂₀

Direct product G=N×Q with N=C₃⋊C₈ and Q=C₂₀

		d	ρ	Label	ID
C₂₀×C₃⋊C₈		480		C20xC3:C8	480,121

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁C₂₀ = C₅×C₆.Q₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	480		C3:C8:1C20	480,126
C₃⋊C₈⋊₂C₂₀ = C₅×C₁₂.Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	480		C3:C8:2C20	480,127
C₃⋊C₈⋊₃C₂₀ = C₅×C₄².S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	480		C3:C8:3C20	480,122
C₃⋊C₈⋊₄C₂₀ = C₅×C₂₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	480		C3:C8:4C20	480,134
C₃⋊C₈⋊₅C₂₀ = Dic₃×C₄₀	φ: trivial image	480		C3:C8:5C20	480,132

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.₁C₂₀ = C₅×C₁₂.₅₃D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.1C20	480,141
C₃⋊C₈.₂C₂₀ = C₅×D₆.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	2	C3:C8.2C20	480,117
C₃⋊C₈.₃C₂₀ = S₃×C₈₀	φ: trivial image	240	2	C3:C8.3C20	480,116

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