Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=S₃

Direct product G=NxQ with N=C₃xC₆ and Q=S₃

		d	ρ	Label	ID
S₃xC₃xC₆		36		S3xC3xC6	108,42

Semidirect products G=N:Q with N=C₃xC₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):₁S₃ = C₂xC₃²:C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	18	6+	(C3xC6):1S3	108,25
(C₃xC₆):₂S₃ = C₂xHe₃:C₂	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	18	3	(C3xC6):2S3	108,28
(C₃xC₆):₃S₃ = C₆xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	36		(C3xC6):3S3	108,43
(C₃xC₆):₄S₃ = C₂xC₃³:C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	54		(C3xC6):4S3	108,44

Non-split extensions G=N.Q with N=C₃xC₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁S₃ = C₃²:C₁₂	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	36	6-	(C3xC6).1S3	108,8
(C₃xC₆).₂S₃ = C₉:C₁₂	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	36	6-	(C3xC6).2S3	108,9
(C₃xC₆).₃S₃ = He₃:₃C₄	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	36	3	(C3xC6).3S3	108,11
(C₃xC₆).₄S₃ = C₂xC₉:C₆	φ: S₃/C₁ → S₃ ⊆ Aut C₃xC₆	18	6+	(C3xC6).4S3	108,26
(C₃xC₆).₅S₃ = C₃xDic₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	36	2	(C3xC6).5S3	108,6
(C₃xC₆).₆S₃ = C₉:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).6S3	108,10
(C₃xC₆).₇S₃ = C₆xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	36	2	(C3xC6).7S3	108,23
(C₃xC₆).₈S₃ = C₂xC₉:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	54		(C3xC6).8S3	108,27
(C₃xC₆).₉S₃ = C₃xC₃:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	36		(C3xC6).9S3	108,33
(C₃xC₆).₁₀S₃ = C₃³:₅C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).10S3	108,34
(C₃xC₆).₁₁S₃ = C₃²xDic₃	central extension (φ=1)	36		(C3xC6).11S3	108,32

׿

x

:

Z

F

o

wr

Q

<