Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=S₃

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₅⋊₂C₈		120	4	S3xC5:2C8	240,8

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁S₃ = C₅⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4+	C5:2C8:1S3	240,15
C₅⋊₂C₈⋊₂S₃ = D₁₂.D₅	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4-	C5:2C8:2S3	240,20
C₅⋊₂C₈⋊₃S₃ = Dic₆⋊D₅	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4+	C5:2C8:3S3	240,21
C₅⋊₂C₈⋊₄S₃ = D₆.Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:4S3	240,11
C₅⋊₂C₈⋊₅S₃ = D₃₀.₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	120	4	C5:2C8:5S3	240,12
C₅⋊₂C₈⋊₆S₃ = D₁₅⋊₂C₈	φ: trivial image	120	4	C5:2C8:6S3	240,9

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁S₃ = C₅⋊Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	240	4-	C5:2C8.1S3	240,24
C₅⋊₂C₈.₂S₃ = C₁₅⋊C₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₈	240	4	C5:2C8.2S3	240,6

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