Extensions 1→N→G→Q→1 with N=S₃xC₂xC₄ and Q=C₂

Direct product G=NxQ with N=S₃xC₂xC₄ and Q=C₂

		d	ρ	Label	ID
S₃xC₂²xC₄		48		S3xC2^2xC4	96,206

Semidirect products G=N:Q with N=S₃xC₂xC₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄):₁C₂ = C₁₂:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):1C2	96,102
(S₃xC₂xC₄):₂C₂ = D₆:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):2C2	96,145
(S₃xC₂xC₄):₃C₂ = C₂xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	24		(S3xC2xC4):3C2	96,209
(S₃xC₂xC₄):₄C₂ = C₂xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):4C2	96,210
(S₃xC₂xC₄):₅C₂ = C₂xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):5C2	96,213
(S₃xC₂xC₄):₆C₂ = S₃xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	24	4	(S3xC2xC4):6C2	96,215
(S₃xC₂xC₄):₇C₂ = C₄xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):7C2	96,80
(S₃xC₂xC₄):₈C₂ = S₃xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	24		(S3xC2xC4):8C2	96,87
(S₃xC₂xC₄):₉C₂ = Dic₃:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):9C2	96,88
(S₃xC₂xC₄):₁₀C₂ = C₂³.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):10C2	96,90
(S₃xC₂xC₄):₁₁C₂ = Dic₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):11C2	96,91
(S₃xC₂xC₄):₁₂C₂ = Dic₃:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):12C2	96,100
(S₃xC₂xC₄):₁₃C₂ = D₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):13C2	96,101
(S₃xC₂xC₄):₁₄C₂ = C₄xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):14C2	96,135
(S₃xC₂xC₄):₁₅C₂ = C₂xC₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4):15C2	96,208

Non-split extensions G=N.Q with N=S₃xC₂xC₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄).₁C₂ = S₃xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).1C2	96,98
(S₃xC₂xC₄).₂C₂ = C₄:C₄:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).2C2	96,99
(S₃xC₂xC₄).₃C₂ = C₄.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).3C2	96,104
(S₃xC₂xC₄).₄C₂ = S₃xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	24	4	(S3xC2xC4).4C2	96,113
(S₃xC₂xC₄).₅C₂ = D₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).5C2	96,153
(S₃xC₂xC₄).₆C₂ = C₂xS₃xQ₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).6C2	96,212
(S₃xC₂xC₄).₇C₂ = D₆:C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).7C2	96,27
(S₃xC₂xC₄).₈C₂ = C₄²:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).8C2	96,79
(S₃xC₂xC₄).₉C₂ = D₆:Q₈	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).9C2	96,103
(S₃xC₂xC₄).₁₀C₂ = C₂xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xC₂xC₄	48		(S3xC2xC4).10C2	96,107
(S₃xC₂xC₄).₁₁C₂ = S₃xC₄²	φ: trivial image	48		(S3xC2xC4).11C2	96,78
(S₃xC₂xC₄).₁₂C₂ = S₃xC₂xC₈	φ: trivial image	48		(S3xC2xC4).12C2	96,106

׿

x

:

Z

F

o

wr

Q

<