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

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

		d	ρ	Label	ID
C₂×S₃×C₅⋊C₈		240		C2xS3xC5:C8	480,1002

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊(C₅⋊C₈) = Dic₅.₂₂D₁₂	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Out D₆	240		D6:(C5:C8)	480,246

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₅⋊C₈) = C₁₅⋊M₅(2)	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Out D₆	240	8	D6.(C5:C8)	480,241
D₆.₂(C₅⋊C₈) = S₃×C₅⋊C₁₆	φ: trivial image	240	8	D6.2(C5:C8)	480,239

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