Extensions 1→N→G→Q→1 with N=C₅:C₈ and Q=D₆

Direct product G=NxQ with N=C₅:C₈ and Q=D₆

		d	ρ	Label	ID
C₂xS₃xC₅:C₈		240		C2xS3xC5:C8	480,1002

Semidirect products G=N:Q with N=C₅:C₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:C₈:₁D₆ = S₃xC₄.F₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	120	8	C5:C8:1D6	480,988
C₅:C₈:₂D₆ = D₁₅:M₄(2)	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	120	8	C5:C8:2D6	480,991
C₅:C₈:₃D₆ = S₃xC₂².F₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	120	8-	C5:C8:3D6	480,1004
C₅:C₈:₄D₆ = D₁₅:₂M₄(2)	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	120	8+	C5:C8:4D6	480,1007
C₅:C₈:₅D₆ = C₅:C₈:D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	120	8	C5:C8:5D6	480,993
C₅:C₈:₆D₆ = C₂xD₆.F₅	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	240		C5:C8:6D6	480,1008
C₅:C₈:₇D₆ = C₂xDic₃.F₅	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	240		C5:C8:7D6	480,1009
C₅:C₈:₈D₆ = S₃xD₅:C₈	φ: trivial image	120	8	C5:C8:8D6	480,986
C₅:C₈:₉D₆ = C₂xD₁₅:C₈	φ: trivial image	240		C5:C8:9D6	480,1006

Non-split extensions G=N.Q with N=C₅:C₈ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:C₈.₁D₆ = D₁₂.F₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	240	8-	C5:C8.1D6	480,989
C₅:C₈.₂D₆ = Dic₆.F₅	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	240	8+	C5:C8.2D6	480,992
C₅:C₈.₃D₆ = D₁₅:C₈:C₂	φ: D₆/S₃ → C₂ ⊆ Out C₅:C₈	240	8	C5:C8.3D6	480,1005
C₅:C₈.₄D₆ = D₁₂.₂F₅	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	240	8-	C5:C8.4D6	480,987
C₅:C₈.₅D₆ = D₆₀.C₄	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	240	8+	C5:C8.5D6	480,990
C₅:C₈.₆D₆ = C₅:C₈.D₆	φ: D₆/C₆ → C₂ ⊆ Out C₅:C₈	240	8	C5:C8.6D6	480,1003

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