Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xQ₁₆

Direct product G=NxQ with N=C₃ and Q=C₆xQ₁₆

		d	ρ	Label	ID
Q₁₆xC₃xC₆		288		Q16xC3xC6	288,831

Semidirect products G=N:Q with N=C₃ and Q=C₆xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xQ₁₆) = C₆xDic₁₂	φ: C₆xQ₁₆/C₂xC₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C6xQ16)	288,676
C₃:₂(C₆xQ₁₆) = C₃xS₃xQ₁₆	φ: C₆xQ₁₆/C₃xQ₁₆ → C₂ ⊆ Aut C₃	96	4	C3:2(C6xQ16)	288,688
C₃:₃(C₆xQ₁₆) = C₆xC₃:Q₁₆	φ: C₆xQ₁₆/C₆xQ₈ → C₂ ⊆ Aut C₃	96		C3:3(C6xQ16)	288,714

Non-split extensions G=N.Q with N=C₃ and Q=C₆xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xQ₁₆) = Q₁₆xC₁₈	central extension (φ=1)	288		C3.(C6xQ16)	288,184

Extensions 1→N→G→Q→1 with N=C3 and Q=C6xQ16