Extensions 1→N→G→Q→1 with N=S₃xC₂₀ and Q=C₂

Direct product G=NxQ with N=S₃xC₂₀ and Q=C₂

		d	ρ	Label	ID
S₃xC₂xC₂₀		120		S3xC2xC20	240,166

Semidirect products G=N:Q with N=S₃xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₀):₁C₂ = D₂₀:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4-	(S3xC20):1C2	240,126
(S₃xC₂₀):₂C₂ = D₆₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4+	(S3xC20):2C2	240,130
(S₃xC₂₀):₃C₂ = S₃xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	60	4+	(S3xC20):3C2	240,137
(S₃xC₂₀):₄C₂ = D₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20):4C2	240,132
(S₃xC₂₀):₅C₂ = C₄xS₃xD₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	60	4	(S3xC20):5C2	240,135
(S₃xC₂₀):₆C₂ = C₅xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	60	4	(S3xC20):6C2	240,169
(S₃xC₂₀):₇C₂ = C₅xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20):7C2	240,170
(S₃xC₂₀):₈C₂ = C₅xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20):8C2	240,172
(S₃xC₂₀):₉C₂ = C₅xC₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	2	(S3xC20):9C2	240,168

Non-split extensions G=N.Q with N=S₃xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₀).₁C₂ = S₃xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4-	(S3xC20).1C2	240,128
(S₃xC₂₀).₂C₂ = S₃xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20).2C2	240,8
(S₃xC₂₀).₃C₂ = D₆.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20).3C2	240,11
(S₃xC₂₀).₄C₂ = C₅xS₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20).4C2	240,171
(S₃xC₂₀).₅C₂ = C₅xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂₀	120	2	(S3xC20).5C2	240,50
(S₃xC₂₀).₆C₂ = S₃xC₄₀	φ: trivial image	120	2	(S3xC20).6C2	240,49

׿

x

:

Z

F

o

wr

Q

<