Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:Q₁₆

Direct product G=NxQ with N=C₃ and Q=C₃²:Q₁₆

		d	ρ	Label	ID
C₃xC₃²:Q₁₆		48	4	C3xC3^2:Q16	432,578

Semidirect products G=N:Q with N=C₃ and Q=C₃²:Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃²:Q₁₆) = C₃³:₃Q₁₆	φ: C₃²:Q₁₆/C₃²:₂C₈ → C₂ ⊆ Aut C₃	48	8-	C3:1(C3^2:Q16)	432,590
C₃:₂(C₃²:Q₁₆) = C₃³:Q₁₆	φ: C₃²:Q₁₆/C₃²:₂Q₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3^2:Q16)	432,585

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:Q₁₆) = He₃:Q₁₆	φ: C₃²:Q₁₆/C₃²:₂C₈ → C₂ ⊆ Aut C₃	144	6-	C3.(C3^2:Q16)	432,236

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:Q16