Extensions 1→N→G→Q→1 with N=Q₈⋊₃D₉ and Q=C₂

Direct product G=N×Q with N=Q₈⋊₃D₉ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊₃D₉		144		C2xQ8:3D9	288,360

Semidirect products G=N:Q with N=Q₈⋊₃D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃D₉⋊₁C₂ = D₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	72	4+	Q8:3D9:1C2	288,124
Q₈⋊₃D₉⋊₂C₂ = SD₁₆⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	144	4	Q8:3D9:2C2	288,126
Q₈⋊₃D₉⋊₃C₂ = D₇₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	144	4+	Q8:3D9:3C2	288,129
Q₈⋊₃D₉⋊₄C₂ = Q₈.₁₅D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	144	4	Q8:3D9:4C2	288,361
Q₈⋊₃D₉⋊₅C₂ = D₄⋊₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	72	4+	Q8:3D9:5C2	288,363
Q₈⋊₃D₉⋊₆C₂ = C₄○D₄×D₉	φ: trivial image	72	4	Q8:3D9:6C2	288,362

Non-split extensions G=N.Q with N=Q₈⋊₃D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃D₉.C₂ = Q₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃D₉	144	4	Q8:3D9.C2	288,128

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