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

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

		d	ρ	Label	ID
C₂×Q₈×D₉		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 = C₂×Q₈⋊D₉	φ: D₁₈/C₆ → S₃ ⊆ Out Q₈	144		Q8:D18	288,336
Q₈⋊₂D₁₈ = SD₁₆×D₉	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 = C₂×Q₈⋊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 = C₂×Q₈⋊₃D₉	φ: trivial image	144		Q8:6D18	288,360
Q₈⋊₇D₁₈ = C₄○D₄×D₉	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 = C₂×Q₈.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 = Q₁₆×D₉	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 = C₂×C₉⋊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

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁