Extensions 1→N→G→Q→1 with N=C₂xC₉:S₃ and Q=C₂

Direct product G=NxQ with N=C₂xC₉:S₃ and Q=C₂

		d	ρ	Label	ID
C₂²xC₉:S₃		108		C2^2xC9:S3	216,112

Semidirect products G=N:Q with N=C₂xC₉:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₉:S₃):₁C₂ = C₃:D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	36	4+	(C2xC9:S3):1C2	216,29
(C₂xC₉:S₃):₂C₂ = C₉:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	36	4+	(C2xC9:S3):2C2	216,32
(C₂xC₉:S₃):₃C₂ = C₃₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	108		(C2xC9:S3):3C2	216,65
(C₂xC₉:S₃):₄C₂ = C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	108		(C2xC9:S3):4C2	216,70
(C₂xC₉:S₃):₅C₂ = C₂xS₃xD₉	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	36	4+	(C2xC9:S3):5C2	216,101

Non-split extensions G=N.Q with N=C₂xC₉:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₉:S₃).C₂ = C₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₉:S₃	36	4+	(C2xC9:S3).C2	216,28
(C₂xC₉:S₃).₂C₂ = C₄xC₉:S₃	φ: trivial image	108		(C2xC9:S3).2C2	216,64

׿

x

:

Z

F

o

wr

Q

<