Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅×S₃

Direct product G=N×Q with N=D₄ and Q=C₅×S₃

		d	ρ	Label	ID
C₅×S₃×D₄		60	4	C5xS3xD4	240,169

Semidirect products G=N:Q with N=D₄ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₅×S₃) = C₅×D₄⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out D₄	120	4	D4:(C5xS3)	240,60
D₄⋊₂(C₅×S₃) = C₅×D₄⋊₂S₃	φ: trivial image	120	4	D4:2(C5xS3)	240,170

Non-split extensions G=N.Q with N=D₄ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅×S₃) = C₅×D₄.S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out D₄	120	4	D4.(C5xS3)	240,61

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5×S3