Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄xA₄

Direct product G=NxQ with N=C₆ and Q=C₄xA₄

		d	ρ	Label	ID
A₄xC₂xC₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₆ and Q=C₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₄xA₄) = C₂xDic₃xA₄	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₆	72		C6:(C4xA4)	288,927

Non-split extensions G=N.Q with N=C₆ and Q=C₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄xA₄) = A₄xC₃:C₈	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₆	72	6	C6.1(C4xA4)	288,408
C₆.₂(C₄xA₄) = Dic₃xSL₂(F₃)	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₆	96		C6.2(C4xA4)	288,409
C₆.₃(C₄xA₄) = SL₂(F₃).Dic₃	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₆	96	4	C6.3(C4xA4)	288,410
C₆.₄(C₄xA₄) = C₄xQ₈:C₉	central extension (φ=1)	288		C6.4(C4xA4)	288,72
C₆.₅(C₄xA₄) = C₈xC₃.A₄	central extension (φ=1)	72	3	C6.5(C4xA4)	288,76
C₆.₆(C₄xA₄) = Q₈.C₃₆	central extension (φ=1)	144	2	C6.6(C4xA4)	288,77
C₆.₇(C₄xA₄) = C₂xC₄xC₃.A₄	central extension (φ=1)	72		C6.7(C4xA4)	288,343
C₆.₈(C₄xA₄) = C₁₂xSL₂(F₃)	central extension (φ=1)	96		C6.8(C4xA4)	288,633
C₆.₉(C₄xA₄) = A₄xC₂₄	central extension (φ=1)	72	3	C6.9(C4xA4)	288,637
C₆.₁₀(C₄xA₄) = C₃xC₈.A₄	central extension (φ=1)	96	2	C6.10(C4xA4)	288,638

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