Extensions 1→N→G→Q→1 with N=Q₈ and Q=S₃×C₃²

Direct product G=N×Q with N=Q₈ and Q=S₃×C₃²

		d	ρ	Label	ID
S₃×Q₈×C₃²		144		S3xQ8xC3^2	432,706

Semidirect products G=N:Q with N=Q₈ and Q=S₃×C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(S₃×C₃²) = C₃²×GL₂(𝔽₃)	φ: S₃×C₃²/C₃² → S₃ ⊆ Out Q₈	72		Q8:(S3xC3^2)	432,614
Q₈⋊₂(S₃×C₃²) = C₃×S₃×SL₂(𝔽₃)	φ: S₃×C₃²/C₃×S₃ → C₃ ⊆ Out Q₈	48	4	Q8:2(S3xC3^2)	432,623
Q₈⋊₃(S₃×C₃²) = C₃²×Q₈⋊₂S₃	φ: S₃×C₃²/C₃³ → C₂ ⊆ Out Q₈	144		Q8:3(S3xC3^2)	432,477
Q₈⋊₄(S₃×C₃²) = C₃²×Q₈⋊₃S₃	φ: trivial image	144		Q8:4(S3xC3^2)	432,707

Non-split extensions G=N.Q with N=Q₈ and Q=S₃×C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(S₃×C₃²) = C₃²×CSU₂(𝔽₃)	φ: S₃×C₃²/C₃² → S₃ ⊆ Out Q₈	144		Q8.(S3xC3^2)	432,613
Q₈.₂(S₃×C₃²) = C₃×Dic₃.A₄	φ: S₃×C₃²/C₃×S₃ → C₃ ⊆ Out Q₈	48	4	Q8.2(S3xC3^2)	432,622
Q₈.₃(S₃×C₃²) = C₃²×C₃⋊Q₁₆	φ: S₃×C₃²/C₃³ → C₂ ⊆ Out Q₈	144		Q8.3(S3xC3^2)	432,478

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