Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₁₅

Direct product G=N×Q with N=Q₈ and Q=D₁₅

		d	ρ	Label	ID
Q₈×D₁₅		120	4-	Q8xD15	240,181

Semidirect products G=N:Q with N=Q₈ and Q=D₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₁₅ = Q₈⋊D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Out Q₈	40	4+	Q8:D15	240,106
Q₈⋊₂D₁₅ = Q₈⋊₂D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Out Q₈	120	4+	Q8:2D15	240,78
Q₈⋊₃D₁₅ = Q₈⋊₃D₁₅	φ: trivial image	120	4+	Q8:3D15	240,182

Non-split extensions G=N.Q with N=Q₈ and Q=D₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₁₅ = Q₈.D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Out Q₈	80	4-	Q8.D15	240,105
Q₈.₂D₁₅ = C₁₅⋊₇Q₁₆	φ: D₁₅/C₁₅ → C₂ ⊆ Out Q₈	240	4-	Q8.2D15	240,79

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D15