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

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

		d	ρ	Label	ID
A₄×C₂×C₁₂		72		A4xC2xC12	288,979

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₆×A₄) = C₃×D₄×A₄	φ: C₆×A₄/C₃×A₄ → C₂ ⊆ Aut C₄	36	6	C4:(C6xA4)	288,980

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₆×A₄) = C₃×Q₈×A₄	φ: C₆×A₄/C₃×A₄ → C₂ ⊆ Aut C₄	72	6	C4.1(C6xA4)	288,982
C₄.₂(C₆×A₄) = C₃×Q₈.A₄	φ: C₆×A₄/C₃×A₄ → C₂ ⊆ Aut C₄	72	4	C4.2(C6xA4)	288,984
C₄.₃(C₆×A₄) = C₃×D₄.A₄	φ: C₆×A₄/C₃×A₄ → C₂ ⊆ Aut C₄	48	4	C4.3(C6xA4)	288,985
C₄.₄(C₆×A₄) = A₄×C₂₄	central extension (φ=1)	72	3	C4.4(C6xA4)	288,637
C₄.₅(C₆×A₄) = C₃×C₈.A₄	central extension (φ=1)	96	2	C4.5(C6xA4)	288,638
C₄.₆(C₆×A₄) = C₆×C₄.A₄	central extension (φ=1)	96		C4.6(C6xA4)	288,983

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