Extensions 1→N→G→Q→1 with N=C₂xC₃:S₃ and Q=A₄

Direct product G=NxQ with N=C₂xC₃:S₃ and Q=A₄

		d	ρ	Label	ID
C₂xA₄xC₃:S₃		54		C2xA4xC3:S3	432,764

Semidirect products G=N:Q with N=C₂xC₃:S₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃):A₄ = C₂xC₆²:C₆	φ: A₄/C₂² → C₃ ⊆ Out C₂xC₃:S₃	18	6+	(C2xC3:S3):A4	432,542

Non-split extensions G=N.Q with N=C₂xC₃:S₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃).A₄ = C₂xASL₂(F₃)	φ: A₄/C₁ → A₄ ⊆ Out C₂xC₃:S₃	18	8+	(C2xC3:S3).A4	432,735
(C₂xC₃:S₃).₂A₄ = Q₈:He₃:C₂	φ: A₄/C₂² → C₃ ⊆ Out C₂xC₃:S₃	72	12-	(C2xC3:S3).2A4	432,270
(C₂xC₃:S₃).₃A₄ = C₃:S₃xSL₂(F₃)	φ: trivial image	72		(C2xC3:S3).3A4	432,626

Extensions 1→N→G→Q→1 with N=C2xC3:S3 and Q=A4