Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.Q₁₆

Direct product G=NxQ with N=C₃ and Q=C₆.Q₁₆

		d	ρ	Label	ID
C₃xC₆.Q₁₆		96		C3xC6.Q16	288,241

Semidirect products G=N:Q with N=C₃ and Q=C₆.Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₆.Q₁₆) = C₆.₁₈D₂₄	φ: C₆.Q₁₆/C₂xC₃:C₈ → C₂ ⊆ Aut C₃	96	C3:1(C6.Q16)	288,223
C₃:₂(C₆.Q₁₆) = C₁₂.₈Dic₆	φ: C₆.Q₁₆/C₄:Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(C6.Q16)	288,224
C₃:₃(C₆.Q₁₆) = C₁₂.₉Dic₆	φ: C₆.Q₁₆/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	288	C3:3(C6.Q16)	288,282

Non-split extensions G=N.Q with N=C₃ and Q=C₆.Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.Q₁₆) = C₃₆.Q₈	φ: C₆.Q₁₆/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	288		C3.(C6.Q16)	288,14

Extensions 1→N→G→Q→1 with N=C3 and Q=C6.Q16