Extensions 1→N→G→Q→1 with N=D₄ and Q=S₃×C₉

Direct product G=N×Q with N=D₄ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×D₄×C₉		72	4	S3xD4xC9	432,358

Semidirect products G=N:Q with N=D₄ and Q=S₃×C₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(S₃×C₉) = C₉×D₄⋊S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Out D₄	72	4	D4:(S3xC9)	432,150
D₄⋊₂(S₃×C₉) = C₉×D₄⋊₂S₃	φ: trivial image	72	4	D4:2(S3xC9)	432,359

Non-split extensions G=N.Q with N=D₄ and Q=S₃×C₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(S₃×C₉) = C₉×D₄.S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Out D₄	72	4	D4.(S3xC9)	432,151

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Extensions 1→N→G→Q→1 with N=D4 and Q=S3×C9