Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃×C₉

Direct product G=N×Q with N=C₈ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₇₂		144	2	S3xC72	432,109

Semidirect products G=N:Q with N=C₈ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(S₃×C₉) = C₉×D₂₄	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:1(S3xC9)	432,112
C₈⋊₂(S₃×C₉) = C₉×C₂₄⋊C₂	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:2(S3xC9)	432,111
C₈⋊₃(S₃×C₉) = C₉×C₈⋊S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8:3(S3xC9)	432,110

Non-split extensions G=N.Q with N=C₈ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(S₃×C₉) = C₉×Dic₁₂	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₈	144	2	C8.(S3xC9)	432,113
C₈.₂(S₃×C₉) = C₉×C₃⋊C₁₆	central extension (φ=1)	144	2	C8.2(S3xC9)	432,29

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Extensions 1→N→G→Q→1 with N=C8 and Q=S3×C9