Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=C₃×S₃

Direct product G=N×Q with N=C₂×A₄ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₆×A₄		36	6	S3xC6xA4	432,763

Semidirect products G=N:Q with N=C₂×A₄ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊(C₃×S₃) = C₆×C₃⋊S₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4):(C3xS3)	432,761

Non-split extensions G=N.Q with N=C₂×A₄ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).(C₃×S₃) = C₃×C₆.₇S₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).(C3xS3)	432,618
(C₂×A₄).₂(C₃×S₃) = C₃×Dic₃×A₄	φ: trivial image	36	6	(C2xA4).2(C3xS3)	432,624

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Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C3×S3