Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=S₃xC₉

Direct product G=NxQ with N=C₂xC₄ and Q=S₃xC₉

		d	ρ	Label	ID
S₃xC₂xC₃₆		144		S3xC2xC36	432,345

Semidirect products G=N:Q with N=C₂xC₄ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(S₃xC₉) = C₉xD₆:C₄	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4):1(S3xC9)	432,135
(C₂xC₄):₂(S₃xC₉) = C₁₈xD₁₂	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4):2(S3xC9)	432,346
(C₂xC₄):₃(S₃xC₉) = C₉xC₄oD₁₂	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	72	2	(C2xC4):3(S3xC9)	432,347

Non-split extensions G=N.Q with N=C₂xC₄ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(S₃xC₉) = C₉xDic₃:C₄	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).1(S3xC9)	432,132
(C₂xC₄).₂(S₃xC₉) = C₉xC₄.Dic₃	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	72	2	(C2xC4).2(S3xC9)	432,127
(C₂xC₄).₃(S₃xC₉) = C₉xC₄:Dic₃	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).3(S3xC9)	432,133
(C₂xC₄).₄(S₃xC₉) = C₁₈xDic₆	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).4(S3xC9)	432,341
(C₂xC₄).₅(S₃xC₉) = C₁₈xC₃:C₈	central extension (φ=1)	144		(C2xC4).5(S3xC9)	432,126
(C₂xC₄).₆(S₃xC₉) = Dic₃xC₃₆	central extension (φ=1)	144		(C2xC4).6(S3xC9)	432,131

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