Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×Q₈

Direct product G=N×Q with N=C₉ and Q=S₃×Q₈

		d	ρ	Label	ID
S₃×Q₈×C₉		144	4	S3xQ8xC9	432,366

Semidirect products G=N:Q with N=C₉ and Q=S₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(S₃×Q₈) = Dic₁₈⋊S₃	φ: S₃×Q₈/Dic₆ → C₂ ⊆ Aut C₉	72	4	C9:1(S3xQ8)	432,283
C₉⋊₂(S₃×Q₈) = S₃×Dic₁₈	φ: S₃×Q₈/C₄×S₃ → C₂ ⊆ Aut C₉	144	4-	C9:2(S3xQ8)	432,284
C₉⋊₃(S₃×Q₈) = Q₈×C₉⋊S₃	φ: S₃×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₉	216		C9:3(S3xQ8)	432,392

Non-split extensions G=N.Q with N=C₉ and Q=S₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×Q₈) = Q₈×D₂₇	φ: S₃×Q₈/C₃×Q₈ → C₂ ⊆ Aut C₉	216	4-	C9.(S3xQ8)	432,49

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=S3×Q8