Extensions 1→N→G→Q→1 with N=S₃xC₃₀ and Q=C₂

Direct product G=NxQ with N=S₃xC₃₀ and Q=C₂

		d	ρ	Label	ID
S₃xC₂xC₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=S₃xC₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃₀):₁C₂ = C₃xC₁₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4	(S3xC30):1C2	360,61
(S₃xC₃₀):₂C₂ = C₃xC₅:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4	(S3xC30):2C2	360,63
(S₃xC₃₀):₃C₂ = D₆:D₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4-	(S3xC30):3C2	360,80
(S₃xC₃₀):₄C₂ = D₆:₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4+	(S3xC30):4C2	360,82
(S₃xC₃₀):₅C₂ = S₃xC₆xD₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4	(S3xC30):5C2	360,151
(S₃xC₃₀):₆C₂ = C₂xS₃xD₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4+	(S3xC30):6C2	360,154
(S₃xC₃₀):₇C₂ = C₅xD₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4	(S3xC30):7C2	360,74
(S₃xC₃₀):₈C₂ = C₅xC₃:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4	(S3xC30):8C2	360,75
(S₃xC₃₀):₉C₂ = C₁₅xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	2	(S3xC30):9C2	360,97
(S₃xC₃₀):₁₀C₂ = C₁₅xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	2	(S3xC30):10C2	360,99
(S₃xC₃₀):₁₁C₂ = S₃²xC₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	60	4	(S3xC30):11C2	360,153

Non-split extensions G=N.Q with N=S₃xC₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃₀).₁C₂ = C₃xS₃xDic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4	(S3xC30).1C2	360,59
(S₃xC₃₀).₂C₂ = S₃xDic₁₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4-	(S3xC30).2C2	360,78
(S₃xC₃₀).₃C₂ = C₅xS₃xDic₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₃₀	120	4	(S3xC30).3C2	360,72
(S₃xC₃₀).₄C₂ = S₃xC₆₀	φ: trivial image	120	2	(S3xC30).4C2	360,96

׿

x

:

Z

F

o

wr

Q

<