Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₆.D₆

Direct product G=NxQ with N=C₃ and Q=C₂xC₆.D₆

		d	ρ	Label	ID
C₆xC₆.D₆		48		C6xC6.D6	432,654

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₆.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₆.D₆) = S₃xC₆.D₆	φ: C₂xC₆.D₆/C₆.D₆ → C₂ ⊆ Aut C₃	24	8+	C3:1(C2xC6.D6)	432,595
C₃:₂(C₂xC₆.D₆) = C₂xC₃³:₈(C₂xC₄)	φ: C₂xC₆.D₆/C₆xDic₃ → C₂ ⊆ Aut C₃	72		C3:2(C2xC6.D6)	432,679
C₃:₃(C₂xC₆.D₆) = C₂xC₃³:₉(C₂xC₄)	φ: C₂xC₆.D₆/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	48		C3:3(C2xC6.D6)	432,692

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₆.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₆.D₆) = C₂xC₁₈.D₆	φ: C₂xC₆.D₆/C₆xDic₃ → C₂ ⊆ Aut C₃	72		C3.1(C2xC6.D6)	432,306
C₃.₂(C₂xC₆.D₆) = C₂xHe₃:(C₂xC₄)	φ: C₂xC₆.D₆/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	72		C3.2(C2xC6.D6)	432,321

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC6.D6