Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₅

Direct product G=N×Q with N=C₈ and Q=D₁₅

		d	ρ	Label	ID
C₈×D₁₅		120	2	C8xD15	240,65

Semidirect products G=N:Q with N=C₈ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₁₅ = D₁₂₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₈	120	2+	C8:1D15	240,68
C₈⋊₂D₁₅ = C₂₄⋊D₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:2D15	240,67
C₈⋊₃D₁₅ = C₄₀⋊S₃	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₈	120	2	C8:3D15	240,66

Non-split extensions G=N.Q with N=C₈ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₁₅ = Dic₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₈	240	2-	C8.D15	240,69
C₈.₂D₁₅ = C₁₅⋊₃C₁₆	central extension (φ=1)	240	2	C8.2D15	240,3

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Extensions 1→N→G→Q→1 with N=C8 and Q=D15