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

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

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

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) = C₃²×Dic₁₂	φ: C₃²×Q₁₆/C₃×C₂₄ → C₂ ⊆ Aut C₃	144		C3:1(C3^2xQ16)	432,468
C₃⋊₂(C₃²×Q₁₆) = C₃²×C₃⋊Q₁₆	φ: C₃²×Q₁₆/Q₈×C₃² → C₂ ⊆ Aut C₃	144		C3:2(C3^2xQ16)	432,478

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×Q₁₆) = Q₁₆×C₃×C₉	central extension (φ=1)	432		C3.1(C3^2xQ16)	432,221
C₃.₂(C₃²×Q₁₆) = Q₁₆×He₃	central stem extension (φ=1)	144	6	C3.2(C3^2xQ16)	432,222
C₃.₃(C₃²×Q₁₆) = Q₁₆×3_-¹⁺²	central stem extension (φ=1)	144	6	C3.3(C3^2xQ16)	432,223

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