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

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

		d	ρ	Label	ID
C₂×A₄×C₃⋊S₃		54		C2xA4xC3:S3	432,764

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃)⋊A₄ = C₂×C₆²⋊C₆	φ: A₄/C₂² → C₃ ⊆ Out C₂×C₃⋊S₃	18	6+	(C2xC3:S3):A4	432,542

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊S₃).A₄ = C₂×ASL₂(𝔽₃)	φ: A₄/C₁ → A₄ ⊆ Out C₂×C₃⋊S₃	18	8+	(C2xC3:S3).A4	432,735
(C₂×C₃⋊S₃).₂A₄ = Q₈⋊He₃⋊C₂	φ: A₄/C₂² → C₃ ⊆ Out C₂×C₃⋊S₃	72	12-	(C2xC3:S3).2A4	432,270
(C₂×C₃⋊S₃).₃A₄ = C₃⋊S₃×SL₂(𝔽₃)	φ: trivial image	72		(C2xC3:S3).3A4	432,626

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