Extensions 1→N→G→Q→1 with N=C₄.A₄ and Q=C₆

Direct product G=N×Q with N=C₄.A₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₄.A₄		96		C6xC4.A4	288,983

Semidirect products G=N:Q with N=C₄.A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄⋊₁C₆ = C₃×C₄.₃S₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	48	4	C4.A4:1C6	288,904
C₄.A₄⋊₂C₆ = C₃×C₄.₆S₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	48	2	C4.A4:2C6	288,903
C₄.A₄⋊₃C₆ = C₃×Q₈.A₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	72	4	C4.A4:3C6	288,984
C₄.A₄⋊₄C₆ = C₃×D₄.A₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	48	4	C4.A4:4C6	288,985

Non-split extensions G=N.Q with N=C₄.A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄.₁C₆ = C₃×C₄.S₄	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	96	4	C4.A4.1C6	288,902
C₄.A₄.₂C₆ = C₃×U₂(𝔽₃)	φ: C₆/C₃ → C₂ ⊆ Out C₄.A₄	72	2	C4.A4.2C6	288,400
C₄.A₄.₃C₆ = C₃×C₈.A₄	φ: trivial image	96	2	C4.A4.3C6	288,638

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