Extensions 1→N→G→Q→1 with N=C₂² and Q=C₆xA₄

Direct product G=NxQ with N=C₂² and Q=C₆xA₄

		d	ρ	Label	ID
A₄xC₂²xC₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=C₂² and Q=C₆xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₆xA₄) = C₂xA₄²	φ: C₆xA₄/C₂xA₄ → C₃ ⊆ Aut C₂²	18	9+	C2^2:1(C6xA4)	288,1029
C₂²:₂(C₆xA₄) = C₆xC₂²:A₄	φ: C₆xA₄/C₂²xC₆ → C₃ ⊆ Aut C₂²	36		C2^2:2(C6xA4)	288,1042
C₂²:₃(C₆xA₄) = C₃xD₄xA₄	φ: C₆xA₄/C₃xA₄ → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C6xA4)	288,980

Non-split extensions G=N.Q with N=C₂² and Q=C₆xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₆xA₄) = C₆xC₄²:C₃	φ: C₆xA₄/C₂²xC₆ → C₃ ⊆ Aut C₂²	36	3	C2^2.1(C6xA4)	288,632
C₂².₂(C₆xA₄) = C₃xC₂⁴:C₆	φ: C₆xA₄/C₂²xC₆ → C₃ ⊆ Aut C₂²	24	6	C2^2.2(C6xA4)	288,634
C₂².₃(C₆xA₄) = C₃xC₄²:C₆	φ: C₆xA₄/C₂²xC₆ → C₃ ⊆ Aut C₂²	48	6	C2^2.3(C6xA4)	288,635
C₂².₄(C₆xA₄) = C₃xC₂³.A₄	φ: C₆xA₄/C₂²xC₆ → C₃ ⊆ Aut C₂²	36	6	C2^2.4(C6xA4)	288,636
C₂².₅(C₆xA₄) = C₃xD₄.A₄	φ: C₆xA₄/C₃xA₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.5(C6xA4)	288,985
C₂².₆(C₆xA₄) = C₁₂xSL₂(F₃)	central extension (φ=1)	96		C2^2.6(C6xA4)	288,633
C₂².₇(C₆xA₄) = A₄xC₂xC₁₂	central extension (φ=1)	72		C2^2.7(C6xA4)	288,979
C₂².₈(C₆xA₄) = C₂xC₆xSL₂(F₃)	central extension (φ=1)	96		C2^2.8(C6xA4)	288,981
C₂².₉(C₆xA₄) = C₆xC₄.A₄	central extension (φ=1)	96		C2^2.9(C6xA4)	288,983

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