Extensions 1→N→G→Q→1 with N=C₂xC₃.A₄ and Q=C₂²

Direct product G=NxQ with N=C₂xC₃.A₄ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₃.A₄		72		C2^3xC3.A4	288,837

Semidirect products G=N:Q with N=C₂xC₃.A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃.A₄):C₂² = C₂²xC₃.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	36		(C2xC3.A4):C2^2	288,835

Non-split extensions G=N.Q with N=C₂xC₃.A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃.A₄).₁C₂² = C₁₂.₁S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	72	6-	(C2xC3.A4).1C2^2	288,332
(C₂xC₃.A₄).₂C₂² = C₄xC₃.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	36	6	(C2xC3.A4).2C2^2	288,333
(C₂xC₃.A₄).₃C₂² = C₂²:D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	36	6+	(C2xC3.A4).3C2^2	288,334
(C₂xC₃.A₄).₄C₂² = C₂xC₆.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	72		(C2xC3.A4).4C2^2	288,341
(C₂xC₃.A₄).₅C₂² = C₂³.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂xC₃.A₄	36	6	(C2xC3.A4).5C2^2	288,342
(C₂xC₃.A₄).₆C₂² = C₂xC₄xC₃.A₄	φ: trivial image	72		(C2xC3.A4).6C2^2	288,343
(C₂xC₃.A₄).₇C₂² = D₄xC₃.A₄	φ: trivial image	36	6	(C2xC3.A4).7C2^2	288,344
(C₂xC₃.A₄).₈C₂² = Q₈xC₃.A₄	φ: trivial image	72	6	(C2xC3.A4).8C2^2	288,346

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