Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₄oD₄

Direct product G=NxQ with N=C₃ and Q=S₃xC₄oD₄

		d	ρ	Label	ID
C₃xS₃xC₄oD₄		48	4	C3xS3xC4oD4	288,998

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₄oD₄) = S₃xC₄oD₁₂	φ: S₃xC₄oD₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xC4oD4)	288,953
C₃:₂(S₃xC₄oD₄) = D₁₂:₂₃D₆	φ: S₃xC₄oD₄/C₄oD₁₂ → C₂ ⊆ Aut C₃	24	4	C3:2(S3xC4oD4)	288,954
C₃:₃(S₃xC₄oD₄) = S₃xD₄:₂S₃	φ: S₃xC₄oD₄/S₃xD₄ → C₂ ⊆ Aut C₃	48	8-	C3:3(S3xC4oD4)	288,959
C₃:₄(S₃xC₄oD₄) = Dic₆:₁₂D₆	φ: S₃xC₄oD₄/D₄:₂S₃ → C₂ ⊆ Aut C₃	24	8+	C3:4(S3xC4oD4)	288,960
C₃:₅(S₃xC₄oD₄) = S₃xQ₈:₃S₃	φ: S₃xC₄oD₄/S₃xQ₈ → C₂ ⊆ Aut C₃	48	8+	C3:5(S3xC4oD4)	288,966
C₃:₆(S₃xC₄oD₄) = D₁₂:₁₅D₆	φ: S₃xC₄oD₄/Q₈:₃S₃ → C₂ ⊆ Aut C₃	48	8-	C3:6(S3xC4oD4)	288,967
C₃:₇(S₃xC₄oD₄) = C₄oD₄xC₃:S₃	φ: S₃xC₄oD₄/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	72		C3:7(S3xC4oD4)	288,1013

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₄oD₄) = C₄oD₄xD₉	φ: S₃xC₄oD₄/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	72	4	C3.(S3xC4oD4)	288,362

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