Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₃:D₄

Direct product G=NxQ with N=C₃ and Q=S₃xC₃:D₄

		d	ρ	Label	ID
C₃xS₃xC₃:D₄		24	4	C3xS3xC3:D4	432,658

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₃:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₃:D₄) = S₃xC₃:D₁₂	φ: S₃xC₃:D₄/S₃xDic₃ → C₂ ⊆ Aut C₃	24	8+	C3:1(S3xC3:D4)	432,598
C₃:₂(S₃xC₃:D₄) = D₆:₄S₃²	φ: S₃xC₃:D₄/D₆:S₃ → C₂ ⊆ Aut C₃	24	8+	C3:2(S3xC3:D4)	432,599
C₃:₃(S₃xC₃:D₄) = D₆:S₃²	φ: S₃xC₃:D₄/C₃:D₁₂ → C₂ ⊆ Aut C₃	48	8-	C3:3(S3xC3:D4)	432,600
C₃:₄(S₃xC₃:D₄) = C₃:S₃xC₃:D₄	φ: S₃xC₃:D₄/C₃xC₃:D₄ → C₂ ⊆ Aut C₃	72		C3:4(S3xC3:D4)	432,685
C₃:₅(S₃xC₃:D₄) = C₆²:₂₄D₆	φ: S₃xC₃:D₄/C₃²:₇D₄ → C₂ ⊆ Aut C₃	24	4	C3:5(S3xC3:D4)	432,696
C₃:₆(S₃xC₃:D₄) = S₃xD₆:S₃	φ: S₃xC₃:D₄/C₂xS₃² → C₂ ⊆ Aut C₃	48	8-	C3:6(S3xC3:D4)	432,597
C₃:₇(S₃xC₃:D₄) = S₃xC₃²:₇D₄	φ: S₃xC₃:D₄/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72		C3:7(S3xC3:D4)	432,684

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₃:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₃:D₄) = D₉xC₃:D₄	φ: S₃xC₃:D₄/C₃xC₃:D₄ → C₂ ⊆ Aut C₃	72	4	C3.1(S3xC3:D4)	432,314
C₃.₂(S₃xC₃:D₄) = C₆²:D₆	φ: S₃xC₃:D₄/C₃²:₇D₄ → C₂ ⊆ Aut C₃	36	12+	C3.2(S3xC3:D4)	432,323
C₃.₃(S₃xC₃:D₄) = S₃xC₉:D₄	φ: S₃xC₃:D₄/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72	4	C3.3(S3xC3:D4)	432,313

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