Extensions 1→N→G→Q→1 with N=S₃xC₂³ and Q=C₂

Direct product G=NxQ with N=S₃xC₂³ and Q=C₂

		d	ρ	Label	ID
S₃xC₂⁴		48		S3xC2^4	96,230

Semidirect products G=N:Q with N=S₃xC₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂³):₁C₂ = D₆:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	24		(S3xC2^3):1C2	96,89
(S₃xC₂³):₂C₂ = C₂³:₂D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	24		(S3xC2^3):2C2	96,144
(S₃xC₂³):₃C₂ = C₂²xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	48		(S3xC2^3):3C2	96,207
(S₃xC₂³):₄C₂ = C₂xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	24		(S3xC2^3):4C2	96,209
(S₃xC₂³):₅C₂ = C₂²xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	48		(S3xC2^3):5C2	96,219

Non-split extensions G=N.Q with N=S₃xC₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂³).₁C₂ = S₃xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	24		(S3xC2^3).1C2	96,87
(S₃xC₂³).₂C₂ = C₂xD₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂³	48		(S3xC2^3).2C2	96,134
(S₃xC₂³).₃C₂ = S₃xC₂²xC₄	φ: trivial image	48		(S3xC2^3).3C2	96,206

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