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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₄.A₄) = C₂×Dic₃.A₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	96		C6:(C4.A4)	288,921

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₄.A₄) = Dic₃×SL₂(𝔽₃)	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	96		C6.(C4.A4)	288,409
C₆.₂(C₄.A₄) = C₄×Q₈⋊C₉	central extension (φ=1)	288		C6.2(C4.A4)	288,72
C₆.₃(C₄.A₄) = C₂×Q₈.C₁₈	central extension (φ=1)	144		C6.3(C4.A4)	288,347
C₆.₄(C₄.A₄) = C₁₂×SL₂(𝔽₃)	central extension (φ=1)	96		C6.4(C4.A4)	288,633

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