Extensions 1→N→G→Q→1 with N=C₃⋊C₁₆ and Q=D₅

Direct product G=N×Q with N=C₃⋊C₁₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₃⋊C₁₆		240	4	D5xC3:C16	480,7

Semidirect products G=N:Q with N=C₃⋊C₁₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁D₅ = C₃⋊D₈₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4+	C3:C16:1D5	480,14
C₃⋊C₁₆⋊₂D₅ = D₄₀.S₃	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4-	C3:C16:2D5	480,18
C₃⋊C₁₆⋊₃D₅ = C₂₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4+	C3:C16:3D5	480,19
C₃⋊C₁₆⋊₄D₅ = C₄₀.₅₁D₆	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4	C3:C16:4D5	480,10
C₃⋊C₁₆⋊₅D₅ = D₃₀.₅C₈	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4	C3:C16:5D5	480,12
C₃⋊C₁₆⋊₆D₅ = D₁₅⋊₂C₁₆	φ: trivial image	240	4	C3:C16:6D5	480,9

Non-split extensions G=N.Q with N=C₃⋊C₁₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.D₅ = C₃⋊Dic₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊C₁₆	480	4-	C3:C16.D5	480,23

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