Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₄₀

Direct product G=N×Q with N=Dic₃ and Q=C₄₀

		d	ρ	Label	ID
Dic₃×C₄₀		480		Dic3xC40	480,132

Semidirect products G=N:Q with N=Dic₃ and Q=C₄₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₄₀ = C₅×Dic₃⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3:C40	480,133

Non-split extensions G=N.Q with N=Dic₃ and Q=C₄₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.C₄₀ = C₅×D₆.C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Out Dic₃	240	2	Dic3.C40	480,117
Dic₃.₂C₄₀ = S₃×C₈₀	φ: trivial image	240	2	Dic3.2C40	480,116

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C40