Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅×S₃

Direct product G=N×Q with N=Q₈ and Q=C₅×S₃

		d	ρ	Label	ID
C₅×S₃×Q₈		120	4	C5xS3xQ8	240,171

Semidirect products G=N:Q with N=Q₈ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₅×S₃) = C₅×GL₂(𝔽₃)	φ: C₅×S₃/C₅ → S₃ ⊆ Out Q₈	40	2	Q8:(C5xS3)	240,103
Q₈⋊₂(C₅×S₃) = C₅×Q₈⋊₂S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out Q₈	120	4	Q8:2(C5xS3)	240,62
Q₈⋊₃(C₅×S₃) = C₅×Q₈⋊₃S₃	φ: trivial image	120	4	Q8:3(C5xS3)	240,172

Non-split extensions G=N.Q with N=Q₈ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₅×S₃) = C₅×CSU₂(𝔽₃)	φ: C₅×S₃/C₅ → S₃ ⊆ Out Q₈	80	2	Q8.(C5xS3)	240,102
Q₈.₂(C₅×S₃) = C₅×C₃⋊Q₁₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out Q₈	240	4	Q8.2(C5xS3)	240,63

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×S3