Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃xC₉

Direct product G=NxQ with N=C₈ and Q=S₃xC₉

		d	ρ	Label	ID
S₃xC₇₂		144	2	S3xC72	432,109

Semidirect products G=N:Q with N=C₈ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(S₃xC₉) = C₉xD₂₄	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₈	144	2	C8:1(S3xC9)	432,112
C₈:₂(S₃xC₉) = C₉xC₂₄:C₂	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₈	144	2	C8:2(S3xC9)	432,111
C₈:₃(S₃xC₉) = C₉xC₈:S₃	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₈	144	2	C8:3(S3xC9)	432,110

Non-split extensions G=N.Q with N=C₈ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(S₃xC₉) = C₉xDic₁₂	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₈	144	2	C8.(S3xC9)	432,113
C₈.₂(S₃xC₉) = C₉xC₃:C₁₆	central extension (φ=1)	144	2	C8.2(S3xC9)	432,29

Extensions 1→N→G→Q→1 with N=C8 and Q=S3xC9