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

Direct product G=N×Q with N=C₅⋊C₈ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×C₅⋊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 = S₃×C₄.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 = S₃×C₂².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 = C₂×D₆.F₅	φ: D₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240		C5:C8:6D6	480,1008
C₅⋊C₈⋊₇D₆ = C₂×Dic₃.F₅	φ: D₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240		C5:C8:7D6	480,1009
C₅⋊C₈⋊₈D₆ = S₃×D₅⋊C₈	φ: trivial image	120	8	C5:C8:8D6	480,986
C₅⋊C₈⋊₉D₆ = C₂×D₁₅⋊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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