Extensions 1→N→G→Q→1 with N=C₆ and Q=D₄₀

Direct product G=N×Q with N=C₆ and Q=D₄₀

		d	ρ	Label	ID
C₆×D₄₀		240		C6xD40	480,696

Semidirect products G=N:Q with N=C₆ and Q=D₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₄₀ = C₂×D₁₂₀	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	240		C6:1D40	480,868
C₆⋊₂D₄₀ = C₂×C₃⋊D₄₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6:2D40	480,376

Non-split extensions G=N.Q with N=C₆ and Q=D₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₄₀ = D₂₄₀	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	240	2+	C6.1D40	480,159
C₆.₂D₄₀ = C₄₈⋊D₅	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	240	2	C6.2D40	480,160
C₆.₃D₄₀ = Dic₁₂₀	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	480	2-	C6.3D40	480,161
C₆.₄D₄₀ = C₁₂₀⋊₉C₄	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	480		C6.4D40	480,178
C₆.₅D₄₀ = D₆₀⋊₈C₄	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₆	240		C6.5D40	480,181
C₆.₆D₄₀ = C₃⋊D₈₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240	4+	C6.6D40	480,14
C₆.₇D₄₀ = D₄₀.S₃	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240	4-	C6.7D40	480,18
C₆.₈D₄₀ = C₂₄.D₁₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240	4+	C6.8D40	480,19
C₆.₉D₄₀ = C₃⋊Dic₄₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	480	4-	C6.9D40	480,23
C₆.₁₀D₄₀ = C₆.D₄₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.10D40	480,41
C₆.₁₁D₄₀ = D₆₀⋊₁₂C₄	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	240		C6.11D40	480,44
C₆.₁₂D₄₀ = C₆₀.₅Q₈	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₆	480		C6.12D40	480,66
C₆.₁₃D₄₀ = C₃×D₈₀	central extension (φ=1)	240	2	C6.13D40	480,77
C₆.₁₄D₄₀ = C₃×C₁₆⋊D₅	central extension (φ=1)	240	2	C6.14D40	480,78
C₆.₁₅D₄₀ = C₃×Dic₄₀	central extension (φ=1)	480	2	C6.15D40	480,79
C₆.₁₆D₄₀ = C₃×C₄₀⋊₅C₄	central extension (φ=1)	480		C6.16D40	480,96
C₆.₁₇D₄₀ = C₃×D₂₀⋊₅C₄	central extension (φ=1)	240		C6.17D40	480,99

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