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

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

		d	ρ	Label	ID
D₅×C₁₆		80	2	D5xC16	160,4

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁D₅ = D₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₆	80	2+	C16:1D5	160,6
C₁₆⋊₂D₅ = C₁₆⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₆	80	2	C16:2D5	160,7
C₁₆⋊₃D₅ = C₈₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₁₆	80	2	C16:3D5	160,5

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.D₅ = Dic₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₆	160	2-	C16.D5	160,8
C₁₆.₂D₅ = C₅⋊₂C₃₂	central extension (φ=1)	160	2	C16.2D5	160,1

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