Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃xC₁₈

Direct product G=NxQ with N=Q₈ and Q=C₃xC₁₈

		d	ρ	Label	ID
Q₈xC₃xC₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈ and Q=C₃xC₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₁(C₃xC₁₈) = C₁₈xSL₂(F₃)	φ: C₃xC₁₈/C₁₈ → C₃ ⊆ Out Q₈	144		Q8:1(C3xC18)	432,327
Q₈:₂(C₃xC₁₈) = C₆xQ₈:C₉	φ: C₃xC₁₈/C₃xC₆ → C₃ ⊆ Out Q₈	432		Q8:2(C3xC18)	432,334
Q₈:₃(C₃xC₁₈) = SD₁₆xC₃xC₉	φ: C₃xC₁₈/C₃xC₉ → C₂ ⊆ Out Q₈	216		Q8:3(C3xC18)	432,218
Q₈:₄(C₃xC₁₈) = C₄oD₄xC₃xC₉	φ: trivial image	216		Q8:4(C3xC18)	432,409

Non-split extensions G=N.Q with N=Q₈ and Q=C₃xC₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₃xC₁₈) = C₉xC₄.A₄	φ: C₃xC₁₈/C₁₈ → C₃ ⊆ Out Q₈	144	2	Q8.1(C3xC18)	432,329
Q₈.₂(C₃xC₁₈) = C₃xQ₈.C₁₈	φ: C₃xC₁₈/C₃xC₆ → C₃ ⊆ Out Q₈	216		Q8.2(C3xC18)	432,337
Q₈.₃(C₃xC₁₈) = Q₁₆xC₃xC₉	φ: C₃xC₁₈/C₃xC₉ → C₂ ⊆ Out Q₈	432		Q8.3(C3xC18)	432,221

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