Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉xQ₁₆

Direct product G=NxQ with N=C₃ and Q=C₉xQ₁₆

		d	ρ	Label	ID
Q₁₆xC₃xC₉		432		Q16xC3xC9	432,221

Semidirect products G=N:Q with N=C₃ and Q=C₉xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₉xQ₁₆) = C₉xDic₁₂	φ: C₉xQ₁₆/C₇₂ → C₂ ⊆ Aut C₃	144	2	C3:1(C9xQ16)	432,113
C₃:₂(C₉xQ₁₆) = C₉xC₃:Q₁₆	φ: C₉xQ₁₆/Q₈xC₉ → C₂ ⊆ Aut C₃	144	4	C3:2(C9xQ16)	432,159

Non-split extensions G=N.Q with N=C₃ and Q=C₉xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉xQ₁₆) = Q₁₆xC₂₇	central extension (φ=1)	432	2	C3.(C9xQ16)	432,27

Extensions 1→N→G→Q→1 with N=C3 and Q=C9xQ16