Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₂Q₈

Direct product G=NxQ with N=C₃ and Q=C₃²:₂Q₈

		d	ρ	Label	ID
C₃xC₃²:₂Q₈		24	4	C3xC3^2:2Q8	216,123

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃²:₂Q₈) = C₃³:₄Q₈	φ: C₃²:₂Q₈/C₃xDic₃ → C₂ ⊆ Aut C₃	72		C3:1(C3^2:2Q8)	216,130
C₃:₂(C₃²:₂Q₈) = C₃³:₅Q₈	φ: C₃²:₂Q₈/C₃:Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C3^2:2Q8)	216,133

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²:₂Q₈) = C₉:Dic₆	φ: C₃²:₂Q₈/C₃xDic₃ → C₂ ⊆ Aut C₃	72	4-	C3.1(C3^2:2Q8)	216,26
C₃.₂(C₃²:₂Q₈) = He₃:₂Q₈	φ: C₃²:₂Q₈/C₃:Dic₃ → C₂ ⊆ Aut C₃	72	6-	C3.2(C3^2:2Q8)	216,33

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:2Q8