Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xC₁₂

Direct product G=NxQ with N=D₆ and Q=C₂xC₁₂

		d	ρ	Label	ID
S₃xC₂²xC₁₂		96		S3xC2^2xC12	288,989

Semidirect products G=N:Q with N=D₆ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xC₁₂) = C₁₂xD₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	96		D6:1(C2xC12)	288,644
D₆:₂(C₂xC₁₂) = C₃xDic₃:₄D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	48		D6:2(C2xC12)	288,652
D₆:₃(C₂xC₁₂) = C₃xDic₃:₅D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	96		D6:3(C2xC12)	288,664
D₆:₄(C₂xC₁₂) = C₁₂xC₃:D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	48		D6:4(C2xC12)	288,699
D₆:₅(C₂xC₁₂) = C₃xS₃xC₂²:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₆	48		D6:5(C2xC12)	288,651
D₆:₆(C₂xC₁₂) = C₆xD₆:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₆	96		D6:6(C2xC12)	288,698

Non-split extensions G=N.Q with N=D₆ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xC₁₂) = C₃xC₈oD₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	48	2	D6.1(C2xC12)	288,672
D₆.₂(C₂xC₁₂) = C₃xD₁₂.C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₆	48	4	D6.2(C2xC12)	288,678
D₆.₃(C₂xC₁₂) = C₃xC₄²:₂S₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₆	96		D6.3(C2xC12)	288,643
D₆.₄(C₂xC₁₂) = C₃xC₄:C₄:₇S₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₆	96		D6.4(C2xC12)	288,663
D₆.₅(C₂xC₁₂) = C₆xC₈:S₃	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₆	96		D6.5(C2xC12)	288,671
D₆.₆(C₂xC₁₂) = S₃xC₄xC₁₂	φ: trivial image	96		D6.6(C2xC12)	288,642
D₆.₇(C₂xC₁₂) = C₃xS₃xC₄:C₄	φ: trivial image	96		D6.7(C2xC12)	288,662
D₆.₈(C₂xC₁₂) = S₃xC₂xC₂₄	φ: trivial image	96		D6.8(C2xC12)	288,670
D₆.₉(C₂xC₁₂) = C₃xS₃xM₄(2)	φ: trivial image	48	4	D6.9(C2xC12)	288,677

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