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

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

		d	ρ	Label	ID
C₃²×Q₁₆		144		C3^2xQ16	144,108

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×Q₁₆) = C₃×Dic₁₂	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xQ16)	144,73
C₃⋊₂(C₃×Q₁₆) = C₃×C₃⋊Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xQ16)	144,83

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×Q₁₆) = C₉×Q₁₆	central extension (φ=1)	144	2	C3.(C3xQ16)	144,27

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