Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₉SD₁₆

Direct product G=NxQ with N=C₃ and Q=C₃²:₉SD₁₆

		d	ρ	Label	ID
C₃xC₃²:₉SD₁₆		72		C3xC3^2:9SD16	432,492

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₉SD₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃²:₉SD₁₆) = C₃³:₁₄SD₁₆	φ: C₃²:₉SD₁₆/C₃²:₄C₈ → C₂ ⊆ Aut C₃	144	C3:1(C3^2:9SD16)	432,441
C₃:₂(C₃²:₉SD₁₆) = C₃³:₁₂SD₁₆	φ: C₃²:₉SD₁₆/C₃²:₄Q₈ → C₂ ⊆ Aut C₃	144	C3:2(C3^2:9SD16)	432,439
C₃:₃(C₃²:₉SD₁₆) = C₃³:₂₄SD₁₆	φ: C₃²:₉SD₁₆/D₄xC₃² → C₂ ⊆ Aut C₃	216	C3:3(C3^2:9SD16)	432,508

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₉SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:₉SD₁₆) = C₃₆.₁₇D₆	φ: C₃²:₉SD₁₆/D₄xC₃² → C₂ ⊆ Aut C₃	216		C3.(C3^2:9SD16)	432,190
C₃.₂(C₃²:₉SD₁₆) = He₃:₉SD₁₆	central stem extension (φ=1)	72	6	C3.2(C3^2:9SD16)	432,193

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:9SD16