Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃×D₉

Direct product G=N×Q with N=Q₈ and Q=C₃×D₉

		d	ρ	Label	ID
C₃×Q₈×D₉		144	4	C3xQ8xD9	432,364

Semidirect products G=N:Q with N=Q₈ and Q=C₃×D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×D₉) = C₃×Q₈⋊D₉	φ: C₃×D₉/C₃² → S₃ ⊆ Out Q₈	144	4	Q8:(C3xD9)	432,246
Q₈⋊₂(C₃×D₉) = D₉×SL₂(𝔽₃)	φ: C₃×D₉/D₉ → C₃ ⊆ Out Q₈	72	4-	Q8:2(C3xD9)	432,264
Q₈⋊₃(C₃×D₉) = C₃×Q₈⋊₂D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Out Q₈	144	4	Q8:3(C3xD9)	432,157
Q₈⋊₄(C₃×D₉) = C₃×Q₈⋊₃D₉	φ: trivial image	144	4	Q8:4(C3xD9)	432,365

Non-split extensions G=N.Q with N=Q₈ and Q=C₃×D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃×D₉) = C₃×Q₈.D₉	φ: C₃×D₉/C₃² → S₃ ⊆ Out Q₈	144	4	Q8.(C3xD9)	432,244
Q₈.₂(C₃×D₉) = Dic₉.₂A₄	φ: C₃×D₉/D₉ → C₃ ⊆ Out Q₈	144	4+	Q8.2(C3xD9)	432,262
Q₈.₃(C₃×D₉) = C₃×C₉⋊Q₁₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Out Q₈	144	4	Q8.3(C3xD9)	432,156

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