Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₄²

Direct product G=N×Q with N=C₃ and Q=S₃×C₄²

		d	ρ	Label	ID
S₃×C₄×C₁₂		96		S3xC4xC12	288,642

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₄²

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(S₃×C₄²) = C₄×C₆.D₆	φ: S₃×C₄²/C₄×Dic₃ → C₂ ⊆ Aut C₃	48	C3:1(S3xC4^2)	288,530
C₃⋊₂(S₃×C₄²) = C₄²×C₃⋊S₃	φ: S₃×C₄²/C₄×C₁₂ → C₂ ⊆ Aut C₃	144	C3:2(S3xC4^2)	288,728
C₃⋊₃(S₃×C₄²) = C₄×S₃×Dic₃	φ: S₃×C₄²/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96	C3:3(S3xC4^2)	288,523

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₄²) = C₄²×D₉	φ: S₃×C₄²/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(S3xC4^2)	288,81

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Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C42