Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃xDic₆

Direct product G=NxQ with N=C₂² and Q=C₃xDic₆

		d	ρ	Label	ID
C₂xC₆xDic₆		96		C2xC6xDic6	288,988

Semidirect products G=N:Q with N=C₂² and Q=C₃xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₃xDic₆) = C₃xA₄:Q₈	φ: C₃xDic₆/C₁₂ → S₃ ⊆ Aut C₂²	72	6	C2^2:(C3xDic6)	288,896
C₂²:₂(C₃xDic₆) = A₄xDic₆	φ: C₃xDic₆/Dic₆ → C₃ ⊆ Aut C₂²	72	6-	C2^2:2(C3xDic6)	288,918
C₂²:₃(C₃xDic₆) = C₃xDic₃.D₄	φ: C₃xDic₆/C₃xDic₃ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3xDic6)	288,649
C₂²:₄(C₃xDic₆) = C₃xC₁₂.₄₈D₄	φ: C₃xDic₆/C₃xC₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:4(C3xDic6)	288,695

Non-split extensions G=N.Q with N=C₂² and Q=C₃xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃xDic₆) = C₃xC₁₂.₅₃D₄	φ: C₃xDic₆/C₃xDic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(C3xDic6)	288,256
C₂².₂(C₃xDic₆) = C₃xC₂₄.C₄	φ: C₃xDic₆/C₃xC₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.2(C3xDic6)	288,253
C₂².₃(C₃xDic₆) = C₃xC₆.C₄²	central extension (φ=1)	96		C2^2.3(C3xDic6)	288,265
C₂².₄(C₃xDic₆) = C₆xDic₃:C₄	central extension (φ=1)	96		C2^2.4(C3xDic6)	288,694
C₂².₅(C₃xDic₆) = C₆xC₄:Dic₃	central extension (φ=1)	96		C2^2.5(C3xDic6)	288,696

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