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

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

		d	ρ	Label	ID
C₃²xD₄:S₃		72		C3^2xD4:S3	432,475

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₄:S₃) = C₃xC₃:D₂₄	φ: C₃xD₄:S₃/C₃xC₃:C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xD4:S3)	432,419
C₃:₂(C₃xD₄:S₃) = C₃xC₃²:₂D₈	φ: C₃xD₄:S₃/C₃xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xD4:S3)	432,418
C₃:₃(C₃xD₄:S₃) = C₃xC₃²:₇D₈	φ: C₃xD₄:S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72		C3:3(C3xD4:S3)	432,491

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xD₄:S₃) = C₃xD₄:D₉	φ: C₃xD₄:S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	4	C3.1(C3xD4:S3)	432,149
C₃.₂(C₃xD₄:S₃) = He₃:₆D₈	φ: C₃xD₄:S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	12+	C3.2(C3xD4:S3)	432,153
C₃.₃(C₃xD₄:S₃) = D₃₆:C₆	φ: C₃xD₄:S₃/D₄xC₃² → C₂ ⊆ Aut C₃	72	12+	C3.3(C3xD4:S3)	432,155
C₃.₄(C₃xD₄:S₃) = C₉xD₄:S₃	central extension (φ=1)	72	4	C3.4(C3xD4:S3)	432,150

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