Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₁₈

Direct product G=NxQ with N=Q₈ and Q=D₁₈

		d	ρ	Label	ID
C₂xQ₈xD₉		144		C2xQ8xD9	288,359

Semidirect products G=N:Q with N=Q₈ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:D₁₈ = C₂xQ₈:D₉	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	144		Q8:D18	288,336
Q₈:₂D₁₈ = SD₁₆xD₉	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	72	4	Q8:2D18	288,123
Q₈:₃D₁₈ = D₇₂:C₂	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	72	4+	Q8:3D18	288,124
Q₈:₄D₁₈ = C₂xQ₈:₂D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	144		Q8:4D18	288,152
Q₈:₅D₁₈ = D₄:D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	72	4+	Q8:5D18	288,160
Q₈:₆D₁₈ = C₂xQ₈:₃D₉	φ: trivial image	144		Q8:6D18	288,360
Q₈:₇D₁₈ = C₄oD₄xD₉	φ: trivial image	72	4	Q8:7D18	288,362
Q₈:₈D₁₈ = D₄:₈D₁₈	φ: trivial image	72	4+	Q8:8D18	288,363

Non-split extensions G=N.Q with N=Q₈ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₁₈ = C₂xQ₈.D₉	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	288		Q8.1D18	288,335
Q₈.₂D₁₈ = Q₈.D₁₈	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	144	4	Q8.2D18	288,337
Q₈.₃D₁₈ = C₁₂.₃S₄	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	144	4-	Q8.3D18	288,338
Q₈.₄D₁₈ = C₁₂.₁₁S₄	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	144	4	Q8.4D18	288,339
Q₈.₅D₁₈ = C₁₂.₄S₄	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	72	4+	Q8.5D18	288,340
Q₈.₆D₁₈ = SD₁₆:D₉	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	144	4-	Q8.6D18	288,125
Q₈.₇D₁₈ = SD₁₆:₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	144	4	Q8.7D18	288,126
Q₈.₈D₁₈ = Q₁₆xD₉	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	144	4-	Q8.8D18	288,127
Q₈.₉D₁₈ = Q₁₆:D₉	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	144	4	Q8.9D18	288,128
Q₈.₁₀D₁₈ = D₇₂:₅C₂	φ: D₁₈/D₉ → C₂ ⊆ Out Q₈	144	4+	Q8.10D18	288,129
Q₈.₁₁D₁₈ = C₂xC₉:Q₁₆	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	288		Q8.11D18	288,151
Q₈.₁₂D₁₈ = C₃₆.C₂³	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	144	4	Q8.12D18	288,153
Q₈.₁₃D₁₈ = D₄.D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	144	4-	Q8.13D18	288,159
Q₈.₁₄D₁₈ = D₄.₉D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out Q₈	144	4	Q8.14D18	288,161
Q₈.₁₅D₁₈ = Q₈.₁₅D₁₈	φ: trivial image	144	4	Q8.15D18	288,361
Q₈.₁₆D₁₈ = D₄.₁₀D₁₈	φ: trivial image	144	4-	Q8.16D18	288,364

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