Extensions 1→N→G→Q→1 with N=S₃xC₁₀ and Q=C₆

Direct product G=NxQ with N=S₃xC₁₀ and Q=C₆

		d	ρ	Label	ID
S₃xC₂xC₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=S₃xC₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₀):₁C₆ = C₃xC₁₅:D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	60	4	(S3xC10):1C6	360,61
(S₃xC₁₀):₂C₆ = C₃xC₅:D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10):2C6	360,63
(S₃xC₁₀):₃C₆ = S₃xC₆xD₅	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	60	4	(S3xC10):3C6	360,151
(S₃xC₁₀):₄C₆ = C₁₅xD₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	120	2	(S3xC10):4C6	360,97
(S₃xC₁₀):₅C₆ = C₁₅xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	60	2	(S3xC10):5C6	360,99

Non-split extensions G=N.Q with N=S₃xC₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₀).C₆ = C₃xS₃xDic₅	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10).C6	360,59
(S₃xC₁₀).₂C₆ = S₃xC₆₀	φ: trivial image	120	2	(S3xC10).2C6	360,96

׿

x

:

Z

F

o

wr

Q

<