Extensions 1→N→G→Q→1 with N=C₂×C₃.A₄ and Q=C₂²

Direct product G=N×Q with N=C₂×C₃.A₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₃.A₄		72		C2^3xC3.A4	288,837

Semidirect products G=N:Q with N=C₂×C₃.A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄)⋊C₂² = C₂²×C₃.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	36		(C2xC3.A4):C2^2	288,835

Non-split extensions G=N.Q with N=C₂×C₃.A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄).₁C₂² = C₁₂.₁S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	72	6-	(C2xC3.A4).1C2^2	288,332
(C₂×C₃.A₄).₂C₂² = C₄×C₃.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	36	6	(C2xC3.A4).2C2^2	288,333
(C₂×C₃.A₄).₃C₂² = C₂²⋊D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	36	6+	(C2xC3.A4).3C2^2	288,334
(C₂×C₃.A₄).₄C₂² = C₂×C₆.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	72		(C2xC3.A4).4C2^2	288,341
(C₂×C₃.A₄).₅C₂² = C₂³.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₃.A₄	36	6	(C2xC3.A4).5C2^2	288,342
(C₂×C₃.A₄).₆C₂² = C₂×C₄×C₃.A₄	φ: trivial image	72		(C2xC3.A4).6C2^2	288,343
(C₂×C₃.A₄).₇C₂² = D₄×C₃.A₄	φ: trivial image	36	6	(C2xC3.A4).7C2^2	288,344
(C₂×C₃.A₄).₈C₂² = Q₈×C₃.A₄	φ: trivial image	72	6	(C2xC3.A4).8C2^2	288,346

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