Extensions 1→N→G→Q→1 with N=C₃×S₃×Q₈ and Q=C₃

Direct product G=N×Q with N=C₃×S₃×Q₈ and Q=C₃

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

Semidirect products G=N:Q with N=C₃×S₃×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃×Q₈)⋊C₃ = C₃×S₃×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out C₃×S₃×Q₈	48	4	(C3xS3xQ8):C3	432,623

Non-split extensions G=N.Q with N=C₃×S₃×Q₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃×Q₈).C₃ = S₃×Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×S₃×Q₈	144	4	(C3xS3xQ8).C3	432,268
(C₃×S₃×Q₈).₂C₃ = S₃×Q₈×C₉	φ: trivial image	144	4	(C3xS3xQ8).2C3	432,366

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Extensions 1→N→G→Q→1 with N=C3×S3×Q8 and Q=C3