Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₄:₂S₃

Direct product G=NxQ with N=C₃ and Q=C₃xD₄:₂S₃

		d	ρ	Label	ID
C₃²xD₄:₂S₃		72		C3^2xD4:2S3	432,705

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₄:₂S₃) = C₃xD₁₂:S₃	φ: C₃xD₄:₂S₃/C₃xDic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xD4:2S3)	432,644
C₃:₂(C₃xD₄:₂S₃) = C₃xD₁₂:₅S₃	φ: C₃xD₄:₂S₃/S₃xC₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xD4:2S3)	432,643
C₃:₃(C₃xD₄:₂S₃) = C₃xD₆.₃D₆	φ: C₃xD₄:₂S₃/C₆xDic₃ → C₂ ⊆ Aut C₃	24	4	C3:3(C3xD4:2S3)	432,652
C₃:₄(C₃xD₄:₂S₃) = C₃xD₆.₄D₆	φ: C₃xD₄:₂S₃/C₃xC₃:D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(C3xD4:2S3)	432,653
C₃:₅(C₃xD₄:₂S₃) = C₃xC₁₂.D₆	φ: C₃xD₄:₂S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72		C3:5(C3xD4:2S3)	432,715

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xD₄:₂S₃) = C₃xD₄:₂D₉	φ: C₃xD₄:₂S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	4	C3.1(C3xD4:2S3)	432,357
C₃.₂(C₃xD₄:₂S₃) = C₆².₁₃D₆	φ: C₃xD₄:₂S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	12-	C3.2(C3xD4:2S3)	432,361
C₃.₃(C₃xD₄:₂S₃) = Dic₁₈:₂C₆	φ: C₃xD₄:₂S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	12-	C3.3(C3xD4:2S3)	432,363
C₃.₄(C₃xD₄:₂S₃) = C₉xD₄:₂S₃	central extension (φ=1)	72	4	C3.4(C3xD4:2S3)	432,359

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