Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃×C₁₈

Direct product G=N×Q with N=Q₈ and Q=C₃×C₁₈

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈ and Q=C₃×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₃×C₁₈) = C₁₈×SL₂(𝔽₃)	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Out Q₈	144		Q8:1(C3xC18)	432,327
Q₈⋊₂(C₃×C₁₈) = C₆×Q₈⋊C₉	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Out Q₈	432		Q8:2(C3xC18)	432,334
Q₈⋊₃(C₃×C₁₈) = SD₁₆×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Out Q₈	216		Q8:3(C3xC18)	432,218
Q₈⋊₄(C₃×C₁₈) = C₄○D₄×C₃×C₉	φ: trivial image	216		Q8:4(C3xC18)	432,409

Non-split extensions G=N.Q with N=Q₈ and Q=C₃×C₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₃×C₁₈) = C₉×C₄.A₄	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Out Q₈	144	2	Q8.1(C3xC18)	432,329
Q₈.₂(C₃×C₁₈) = C₃×Q₈.C₁₈	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Out Q₈	216		Q8.2(C3xC18)	432,337
Q₈.₃(C₃×C₁₈) = Q₁₆×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Out Q₈	432		Q8.3(C3xC18)	432,221

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