Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xS₃xQ₈

Direct product G=NxQ with N=C₃ and Q=C₃xS₃xQ₈

		d	ρ	Label	ID
S₃xQ₈xC₃²		144		S3xQ8xC3^2	432,706

Semidirect products G=N:Q with N=C₃ and Q=C₃xS₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xS₃xQ₈) = C₃xDic₃.D₆	φ: C₃xS₃xQ₈/C₃xDic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xS3xQ8)	432,645
C₃:₂(C₃xS₃xQ₈) = C₃xS₃xDic₆	φ: C₃xS₃xQ₈/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xS3xQ8)	432,642
C₃:₃(C₃xS₃xQ₈) = C₃xQ₈xC₃:S₃	φ: C₃xS₃xQ₈/Q₈xC₃² → C₂ ⊆ Aut C₃	144		C3:3(C3xS3xQ8)	432,716

Non-split extensions G=N.Q with N=C₃ and Q=C₃xS₃xQ₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xS₃xQ₈) = C₃xQ₈xD₉	φ: C₃xS₃xQ₈/Q₈xC₃² → C₂ ⊆ Aut C₃	144	4	C3.1(C3xS3xQ8)	432,364
C₃.₂(C₃xS₃xQ₈) = Q₈xC₃²:C₆	φ: C₃xS₃xQ₈/Q₈xC₃² → C₂ ⊆ Aut C₃	72	12-	C3.2(C3xS3xQ8)	432,368
C₃.₃(C₃xS₃xQ₈) = Q₈xC₉:C₆	φ: C₃xS₃xQ₈/Q₈xC₃² → C₂ ⊆ Aut C₃	72	12-	C3.3(C3xS3xQ8)	432,370
C₃.₄(C₃xS₃xQ₈) = S₃xQ₈xC₉	central extension (φ=1)	144	4	C3.4(C3xS3xQ8)	432,366

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