Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xS₃xQ₈

Direct product G=NxQ with N=C₃ and Q=C₂xS₃xQ₈

		d	ρ	Label	ID
S₃xC₆xQ₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=C₃ and Q=C₂xS₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xS₃xQ₈) = C₂xDic₃.D₆	φ: C₂xS₃xQ₈/C₂xDic₆ → C₂ ⊆ Aut C₃	48		C3:1(C2xS3xQ8)	288,947
C₃:₂(C₂xS₃xQ₈) = C₂xS₃xDic₆	φ: C₂xS₃xQ₈/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	96		C3:2(C2xS3xQ8)	288,942
C₃:₃(C₂xS₃xQ₈) = S₃²xQ₈	φ: C₂xS₃xQ₈/S₃xQ₈ → C₂ ⊆ Aut C₃	48	8-	C3:3(C2xS3xQ8)	288,965
C₃:₄(C₂xS₃xQ₈) = C₂xQ₈xC₃:S₃	φ: C₂xS₃xQ₈/C₆xQ₈ → C₂ ⊆ Aut C₃	144		C3:4(C2xS3xQ8)	288,1010

Non-split extensions G=N.Q with N=C₃ and Q=C₂xS₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xS₃xQ₈) = C₂xQ₈xD₉	φ: C₂xS₃xQ₈/C₆xQ₈ → C₂ ⊆ Aut C₃	144		C3.(C2xS3xQ8)	288,359

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