Extensions 1→N→G→Q→1 with N=C₂xC₃²:A₄ and Q=C₂

Direct product G=NxQ with N=C₂xC₃²:A₄ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃²:A₄		36		C2^2xC3^2:A4	432,550

Semidirect products G=N:Q with N=C₂xC₃²:A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:A₄):₁C₂ = C₂xC₆²:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	18	6+	(C2xC3^2:A4):1C2	432,535
(C₂xC₃²:A₄):₂C₂ = C₂xC₃²:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	18	3	(C2xC3^2:A4):2C2	432,538
(C₂xC₃²:A₄):₃C₂ = C₂xC₆²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	18	6+	(C2xC3^2:A4):3C2	432,542

Non-split extensions G=N.Q with N=C₂xC₃²:A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:A₄).₁C₂ = C₆²:₅Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	36	6-	(C2xC3^2:A4).1C2	432,251
(C₂xC₃²:A₄).₂C₂ = C₆²:₆Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	36	3	(C2xC3^2:A4).2C2	432,260
(C₂xC₃²:A₄).₃C₂ = C₆²:₄C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:A₄	36	6-	(C2xC3^2:A4).3C2	432,272
(C₂xC₃²:A₄).₄C₂ = C₄xC₃²:A₄	φ: trivial image	36	3	(C2xC3^2:A4).4C2	432,333

׿

x

:

Z

F

o

wr

Q

<