Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃xC₁₀

Direct product G=NxQ with N=C₂² and Q=S₃xC₁₀

		d	ρ	Label	ID
S₃xC₂²xC₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=C₂² and Q=S₃xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(S₃xC₁₀) = C₁₀xS₄	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Aut C₂²	30	3	C2^2:(S3xC10)	240,196
C₂²:₂(S₃xC₁₀) = C₅xS₃xD₄	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₂²	60	4	C2^2:2(S3xC10)	240,169
C₂²:₃(S₃xC₁₀) = C₁₀xC₃:D₄	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:3(S3xC10)	240,174

Non-split extensions G=N.Q with N=C₂² and Q=S₃xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(S₃xC₁₀) = C₅xD₄:₂S₃	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Aut C₂²	120	4	C2^2.1(S3xC10)	240,170
C₂².₂(S₃xC₁₀) = C₅xC₄oD₁₂	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.2(S3xC10)	240,168
C₂².₃(S₃xC₁₀) = Dic₃xC₂₀	central extension (φ=1)	240		C2^2.3(S3xC10)	240,56
C₂².₄(S₃xC₁₀) = C₅xDic₃:C₄	central extension (φ=1)	240		C2^2.4(S3xC10)	240,57
C₂².₅(S₃xC₁₀) = C₅xC₄:Dic₃	central extension (φ=1)	240		C2^2.5(S3xC10)	240,58
C₂².₆(S₃xC₁₀) = C₅xD₆:C₄	central extension (φ=1)	120		C2^2.6(S3xC10)	240,59
C₂².₇(S₃xC₁₀) = C₅xC₆.D₄	central extension (φ=1)	120		C2^2.7(S3xC10)	240,64
C₂².₈(S₃xC₁₀) = C₁₀xDic₆	central extension (φ=1)	240		C2^2.8(S3xC10)	240,165
C₂².₉(S₃xC₁₀) = S₃xC₂xC₂₀	central extension (φ=1)	120		C2^2.9(S3xC10)	240,166
C₂².₁₀(S₃xC₁₀) = C₁₀xD₁₂	central extension (φ=1)	120		C2^2.10(S3xC10)	240,167
C₂².₁₁(S₃xC₁₀) = Dic₃xC₂xC₁₀	central extension (φ=1)	240		C2^2.11(S3xC10)	240,173

׿

x

:

Z

F

o

wr

Q

<