Extensions 1→N→G→Q→1 with N=S₃xC₄₀ and Q=C₂

Direct product G=NxQ with N=S₃xC₄₀ and Q=C₂

		d	ρ	Label	ID
S₃xC₂xC₄₀		240		S3xC2xC40	480,778

Semidirect products G=N:Q with N=S₃xC₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₄₀):₁C₂ = S₃xD₄₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4+	(S3xC40):1C2	480,328
(S₃xC₄₀):₂C₂ = D₄₀:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4-	(S3xC40):2C2	480,349
(S₃xC₄₀):₃C₂ = D₁₂₀:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4+	(S3xC40):3C2	480,351
(S₃xC₄₀):₄C₂ = S₃xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):4C2	480,327
(S₃xC₄₀):₅C₂ = D₆.₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):5C2	480,348
(S₃xC₄₀):₆C₂ = S₃xC₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):6C2	480,319
(S₃xC₄₀):₇C₂ = S₃xC₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):7C2	480,321
(S₃xC₄₀):₈C₂ = C₄₀.₅₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):8C2	480,341
(S₃xC₄₀):₉C₂ = C₄₀.₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):9C2	480,343
(S₃xC₄₀):₁₀C₂ = C₅xS₃xD₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):10C2	480,789
(S₃xC₄₀):₁₁C₂ = C₅xD₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):11C2	480,791
(S₃xC₄₀):₁₂C₂ = C₅xD₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):12C2	480,798
(S₃xC₄₀):₁₃C₂ = C₅xS₃xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):13C2	480,792
(S₃xC₄₀):₁₄C₂ = C₅xQ₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):14C2	480,795
(S₃xC₄₀):₁₅C₂ = C₅xC₈oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	2	(S3xC40):15C2	480,780
(S₃xC₄₀):₁₆C₂ = C₅xS₃xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	120	4	(S3xC40):16C2	480,785
(S₃xC₄₀):₁₇C₂ = C₅xD₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40):17C2	480,786

Non-split extensions G=N.Q with N=S₃xC₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₄₀).₁C₂ = S₃xDic₂₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4-	(S3xC40).1C2	480,338
(S₃xC₄₀).₂C₂ = S₃xC₅:₂C₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40).2C2	480,8
(S₃xC₄₀).₃C₂ = C₄₀.₅₂D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40).3C2	480,11
(S₃xC₄₀).₄C₂ = C₅xS₃xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	4	(S3xC40).4C2	480,796
(S₃xC₄₀).₅C₂ = C₅xD₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₄₀	240	2	(S3xC40).5C2	480,117
(S₃xC₄₀).₆C₂ = S₃xC₈₀	φ: trivial image	240	2	(S3xC40).6C2	480,116

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