Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xD₄:₂S₃

Direct product G=NxQ with N=C₃ and Q=C₂xD₄:₂S₃

		d	ρ	Label	ID
C₆xD₄:₂S₃		48		C6xD4:2S3	288,993

Semidirect products G=N:Q with N=C₃ and Q=C₂xD₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xD₄:₂S₃) = C₂xD₁₂:S₃	φ: C₂xD₄:₂S₃/C₂xDic₆ → C₂ ⊆ Aut C₃	48		C3:1(C2xD4:2S3)	288,944
C₃:₂(C₂xD₄:₂S₃) = C₂xD₁₂:₅S₃	φ: C₂xD₄:₂S₃/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	96		C3:2(C2xD4:2S3)	288,943
C₃:₃(C₂xD₄:₂S₃) = S₃xD₄:₂S₃	φ: C₂xD₄:₂S₃/D₄:₂S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(C2xD4:2S3)	288,959
C₃:₄(C₂xD₄:₂S₃) = C₂xD₆.₃D₆	φ: C₂xD₄:₂S₃/C₂²xDic₃ → C₂ ⊆ Aut C₃	48		C3:4(C2xD4:2S3)	288,970
C₃:₅(C₂xD₄:₂S₃) = C₂xD₆.₄D₆	φ: C₂xD₄:₂S₃/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2xD4:2S3)	288,971
C₃:₆(C₂xD₄:₂S₃) = C₂xC₁₂.D₆	φ: C₂xD₄:₂S₃/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3:6(C2xD4:2S3)	288,1008

Non-split extensions G=N.Q with N=C₃ and Q=C₂xD₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xD₄:₂S₃) = C₂xD₄:₂D₉	φ: C₂xD₄:₂S₃/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3.(C2xD4:2S3)	288,357

׿

x

:

Z

F

o

wr

Q

<