Extensions 1→N→G→Q→1 with N=C₃²xQ₁₆ and Q=C₃

Direct product G=NxQ with N=C₃²xQ₁₆ and Q=C₃

		d	ρ	Label	ID
Q₁₆xC₃³		432		Q16xC3^3	432,519

Semidirect products G=N:Q with N=C₃²xQ₁₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xQ₁₆):C₃ = Q₁₆xHe₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²xQ₁₆	144	6	(C3^2xQ16):C3	432,222

Non-split extensions G=N.Q with N=C₃²xQ₁₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xQ₁₆).C₃ = Q₁₆x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²xQ₁₆	144	6	(C3^2xQ16).C3	432,223
(C₃²xQ₁₆).₂C₃ = Q₁₆xC₃xC₉	φ: trivial image	432		(C3^2xQ16).2C3	432,221

Extensions 1→N→G→Q→1 with N=C32xQ16 and Q=C3