Extensions 1→N→G→Q→1 with N=C₂xHe₃.C₃ and Q=C₂

Direct product G=NxQ with N=C₂xHe₃.C₃ and Q=C₂

		d	ρ	Label	ID
C₂²xHe₃.C₃		108		C2^2xHe3.C3	324,87

Semidirect products G=N:Q with N=C₂xHe₃.C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃.C₃):₁C₂ = C₂xHe₃.₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	54	6+	(C2xHe3.C3):1C2	324,78
(C₂xHe₃.C₃):₂C₂ = C₂xHe₃.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	54	6+	(C2xHe3.C3):2C2	324,71
(C₂xHe₃.C₃):₃C₂ = C₂xHe₃.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	54	3	(C2xHe3.C3):3C2	324,70

Non-split extensions G=N.Q with N=C₂xHe₃.C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃.C₃).₁C₂ = He₃.₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	108	6-	(C2xHe3.C3).1C2	324,23
(C₂xHe₃.C₃).₂C₂ = He₃.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	108	6-	(C2xHe3.C3).2C2	324,16
(C₂xHe₃.C₃).₃C₂ = He₃.C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃.C₃	108	3	(C2xHe3.C3).3C2	324,15
(C₂xHe₃.C₃).₄C₂ = C₄xHe₃.C₃	φ: trivial image	108	3	(C2xHe3.C3).4C2	324,32

׿

x

:

Z

F

o

wr

Q

<