Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂²xC₆

Direct product G=NxQ with N=D₆ and Q=C₂²xC₆

		d	ρ	Label	ID
S₃xC₂³xC₆		96		S3xC2^3xC6	288,1043

Semidirect products G=N:Q with N=D₆ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂²xC₆) = C₂xC₆xD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	96		D6:1(C2^2xC6)	288,990
D₆:₂(C₂²xC₆) = S₃xC₆xD₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48		D6:2(C2^2xC6)	288,992
D₆:₃(C₂²xC₆) = C₂xC₆xC₃:D₄	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48		D6:3(C2^2xC6)	288,1002

Non-split extensions G=N.Q with N=D₆ and Q=C₂²xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂²xC₆) = C₆xC₄oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48		D6.1(C2^2xC6)	288,991
D₆.₂(C₂²xC₆) = C₆xD₄:₂S₃	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48		D6.2(C2^2xC6)	288,993
D₆.₃(C₂²xC₆) = C₃xD₄:₆D₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	24	4	D6.3(C2^2xC6)	288,994
D₆.₄(C₂²xC₆) = C₆xQ₈:₃S₃	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	96		D6.4(C2^2xC6)	288,996
D₆.₅(C₂²xC₆) = C₃xQ₈.₁₅D₆	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48	4	D6.5(C2^2xC6)	288,997
D₆.₆(C₂²xC₆) = C₃xD₄oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48	4	D6.6(C2^2xC6)	288,999
D₆.₇(C₂²xC₆) = C₃xQ₈oD₁₂	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Out D₆	48	4	D6.7(C2^2xC6)	288,1000
D₆.₈(C₂²xC₆) = S₃xC₂²xC₁₂	φ: trivial image	96		D6.8(C2^2xC6)	288,989
D₆.₉(C₂²xC₆) = S₃xC₆xQ₈	φ: trivial image	96		D6.9(C2^2xC6)	288,995
D₆.₁₀(C₂²xC₆) = C₃xS₃xC₄oD₄	φ: trivial image	48	4	D6.10(C2^2xC6)	288,998

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