Extensions 1→N→G→Q→1 with N=C₂xC₁₂ and Q=S₃

Direct product G=NxQ with N=C₂xC₁₂ and Q=S₃

		d	ρ	Label	ID
S₃xC₂xC₁₂		48		S3xC2xC12	144,159

Semidirect products G=N:Q with N=C₂xC₁₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂):₁S₃ = C₃xD₆:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12):1S3	144,79
(C₂xC₁₂):₂S₃ = C₆.₁₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12):2S3	144,95
(C₂xC₁₂):₃S₃ = C₂xC₁₂:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12):3S3	144,170
(C₂xC₁₂):₄S₃ = C₁₂.₅₉D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12):4S3	144,171
(C₂xC₁₂):₅S₃ = C₂xC₄xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12):5S3	144,169
(C₂xC₁₂):₆S₃ = C₆xD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12):6S3	144,160
(C₂xC₁₂):₇S₃ = C₃xC₄oD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12):7S3	144,161

Non-split extensions G=N.Q with N=C₂xC₁₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₂).₁S₃ = Dic₉:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).1S3	144,12
(C₂xC₁₂).₂S₃ = D₁₈:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12).2S3	144,14
(C₂xC₁₂).₃S₃ = C₃xDic₃:C₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).3S3	144,77
(C₂xC₁₂).₄S₃ = C₆.Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).4S3	144,93
(C₂xC₁₂).₅S₃ = C₄:Dic₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).5S3	144,13
(C₂xC₁₂).₆S₃ = C₂xDic₁₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).6S3	144,37
(C₂xC₁₂).₇S₃ = C₂xD₃₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12).7S3	144,39
(C₂xC₁₂).₈S₃ = C₁₂:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).8S3	144,94
(C₂xC₁₂).₉S₃ = C₂xC₃²:₄Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).9S3	144,168
(C₂xC₁₂).₁₀S₃ = C₄.Dic₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72	2	(C2xC12).10S3	144,10
(C₂xC₁₂).₁₁S₃ = D₃₆:₅C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72	2	(C2xC12).11S3	144,40
(C₂xC₁₂).₁₂S₃ = C₁₂.₅₈D₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12).12S3	144,91
(C₂xC₁₂).₁₃S₃ = C₂xC₉:C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).13S3	144,9
(C₂xC₁₂).₁₄S₃ = C₄xDic₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).14S3	144,11
(C₂xC₁₂).₁₅S₃ = C₂xC₄xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	72		(C2xC12).15S3	144,38
(C₂xC₁₂).₁₆S₃ = C₂xC₃²:₄C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).16S3	144,90
(C₂xC₁₂).₁₇S₃ = C₄xC₃:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	144		(C2xC12).17S3	144,92
(C₂xC₁₂).₁₈S₃ = C₃xC₄.Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	24	2	(C2xC12).18S3	144,75
(C₂xC₁₂).₁₉S₃ = C₃xC₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).19S3	144,78
(C₂xC₁₂).₂₀S₃ = C₆xDic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂xC₁₂	48		(C2xC12).20S3	144,158
(C₂xC₁₂).₂₁S₃ = C₆xC₃:C₈	central extension (φ=1)	48		(C2xC12).21S3	144,74
(C₂xC₁₂).₂₂S₃ = Dic₃xC₁₂	central extension (φ=1)	48		(C2xC12).22S3	144,76

Extensions 1→N→G→Q→1 with N=C2xC12 and Q=S3

Extensions 1→N→G→Q→1 with N=C₂xC₁₂ and Q=S₃