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

Direct product G=N×Q with N=C₃²×Q₁₆ and Q=C₃

		d	ρ	Label	ID
Q₁₆×C₃³		432		Q16xC3^3	432,519

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Q₁₆)⋊C₃ = Q₁₆×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×Q₁₆	144	6	(C3^2xQ16):C3	432,222

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×Q₁₆).C₃ = Q₁₆×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×Q₁₆	144	6	(C3^2xQ16).C3	432,223
(C₃²×Q₁₆).₂C₃ = Q₁₆×C₃×C₉	φ: trivial image	432		(C3^2xQ16).2C3	432,221

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