Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×Dic₆

Direct product G=N×Q with N=C₂² and Q=C₃×Dic₆

		d	ρ	Label	ID
C₂×C₆×Dic₆		96		C2xC6xDic6	288,988

Semidirect products G=N:Q with N=C₂² and Q=C₃×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×Dic₆) = C₃×A₄⋊Q₈	φ: C₃×Dic₆/C₁₂ → S₃ ⊆ Aut C₂²	72	6	C2^2:(C3xDic6)	288,896
C₂²⋊₂(C₃×Dic₆) = A₄×Dic₆	φ: C₃×Dic₆/Dic₆ → C₃ ⊆ Aut C₂²	72	6-	C2^2:2(C3xDic6)	288,918
C₂²⋊₃(C₃×Dic₆) = C₃×Dic₃.D₄	φ: C₃×Dic₆/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3xDic6)	288,649
C₂²⋊₄(C₃×Dic₆) = C₃×C₁₂.₄₈D₄	φ: C₃×Dic₆/C₃×C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:4(C3xDic6)	288,695

Non-split extensions G=N.Q with N=C₂² and Q=C₃×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₃×Dic₆) = C₃×C₁₂.₅₃D₄	φ: C₃×Dic₆/C₃×Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.1(C3xDic6)	288,256
C₂².₂(C₃×Dic₆) = C₃×C₂₄.C₄	φ: C₃×Dic₆/C₃×C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.2(C3xDic6)	288,253
C₂².₃(C₃×Dic₆) = C₃×C₆.C₄²	central extension (φ=1)	96		C2^2.3(C3xDic6)	288,265
C₂².₄(C₃×Dic₆) = C₆×Dic₃⋊C₄	central extension (φ=1)	96		C2^2.4(C3xDic6)	288,694
C₂².₅(C₃×Dic₆) = C₆×C₄⋊Dic₃	central extension (φ=1)	96		C2^2.5(C3xDic6)	288,696

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