Extensions 1→N→G→Q→1 with N=D₄ and Q=S₃×C₃²

Direct product G=N×Q with N=D₄ and Q=S₃×C₃²

		d	ρ	Label	ID
S₃×D₄×C₃²		72		S3xD4xC3^2	432,704

Semidirect products G=N:Q with N=D₄ and Q=S₃×C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(S₃×C₃²) = C₃²×D₄⋊S₃	φ: S₃×C₃²/C₃³ → C₂ ⊆ Out D₄	72		D4:(S3xC3^2)	432,475
D₄⋊₂(S₃×C₃²) = C₃²×D₄⋊₂S₃	φ: trivial image	72		D4:2(S3xC3^2)	432,705

Non-split extensions G=N.Q with N=D₄ and Q=S₃×C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(S₃×C₃²) = C₃²×D₄.S₃	φ: S₃×C₃²/C₃³ → C₂ ⊆ Out D₄	72		D4.(S3xC3^2)	432,476

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Extensions 1→N→G→Q→1 with N=D4 and Q=S3×C32