Extensions 1→N→G→Q→1 with N=S₃xC₂xC₆ and Q=C₂

Direct product G=NxQ with N=S₃xC₂xC₆ and Q=C₂

		d	ρ	Label	ID
S₃xC₂²xC₆		48		S3xC2^2xC6	144,195

Semidirect products G=N:Q with N=S₃xC₂xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₆):₁C₂ = C₂xD₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	48		(S3xC2xC6):1C2	144,150
(S₃xC₂xC₆):₂C₂ = C₂xC₃:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	24		(S3xC2xC6):2C2	144,151
(S₃xC₂xC₆):₃C₂ = S₃xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	24	4	(S3xC2xC6):3C2	144,153
(S₃xC₂xC₆):₄C₂ = C₆xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	48		(S3xC2xC6):4C2	144,160
(S₃xC₂xC₆):₅C₂ = C₃xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	24	4	(S3xC2xC6):5C2	144,162
(S₃xC₂xC₆):₆C₂ = C₆xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	24		(S3xC2xC6):6C2	144,167
(S₃xC₂xC₆):₇C₂ = C₂²xS₃²	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	24		(S3xC2xC6):7C2	144,192

Non-split extensions G=N.Q with N=S₃xC₂xC₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₆).₁C₂ = D₆:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	48		(S3xC2xC6).1C2	144,64
(S₃xC₂xC₆).₂C₂ = C₃xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	48		(S3xC2xC6).2C2	144,79
(S₃xC₂xC₆).₃C₂ = C₂xS₃xDic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₆	48		(S3xC2xC6).3C2	144,146
(S₃xC₂xC₆).₄C₂ = S₃xC₂xC₁₂	φ: trivial image	48		(S3xC2xC6).4C2	144,159

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