Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆:D₆

Direct product G=NxQ with N=C₃ and Q=D₆:D₆

		d	ρ	Label	ID
C₃xD₆:D₆		48	4	C3xD6:D6	432,650

Semidirect products G=N:Q with N=C₃ and Q=D₆:D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₆:D₆) = (S₃xC₆):D₆	φ: D₆:D₆/D₆:S₃ → C₂ ⊆ Aut C₃	24	8+	C3:1(D6:D6)	432,601
C₃:₂(D₆:D₆) = C₁₂:S₃²	φ: D₆:D₆/C₃xD₁₂ → C₂ ⊆ Aut C₃	72		C3:2(D6:D6)	432,673
C₃:₃(D₆:D₆) = C₁₂:₃S₃²	φ: D₆:D₆/C₄xC₃:S₃ → C₂ ⊆ Aut C₃	48	4	C3:3(D6:D6)	432,691
C₃:₄(D₆:D₆) = D₆:S₃²	φ: D₆:D₆/C₂xS₃² → C₂ ⊆ Aut C₃	48	8-	C3:4(D6:D6)	432,600

Non-split extensions G=N.Q with N=C₃ and Q=D₆:D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆:D₆) = C₃₆:D₆	φ: D₆:D₆/C₃xD₁₂ → C₂ ⊆ Aut C₃	72	4	C3.1(D6:D6)	432,293
C₃.₂(D₆:D₆) = C₁₂.₈₆S₃²	φ: D₆:D₆/C₄xC₃:S₃ → C₂ ⊆ Aut C₃	36	6+	C3.2(D6:D6)	432,302

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