Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xQ₁₆

Direct product G=NxQ with N=C₅ and Q=C₅xQ₁₆

		d	ρ	Label	ID
Q₁₆xC₅²		400		Q16xC5^2	400,115

Semidirect products G=N:Q with N=C₅ and Q=C₅xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₅xQ₁₆) = C₅xDic₂₀	φ: C₅xQ₁₆/C₄₀ → C₂ ⊆ Aut C₅	80	2	C5:1(C5xQ16)	400,80
C₅:₂(C₅xQ₁₆) = C₅xC₅:Q₁₆	φ: C₅xQ₁₆/C₅xQ₈ → C₂ ⊆ Aut C₅	80	4	C5:2(C5xQ16)	400,90

Non-split extensions G=N.Q with N=C₅ and Q=C₅xQ₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅xQ₁₆) = Q₁₆xC₂₅	central extension (φ=1)	400	2	C5.(C5xQ16)	400,27

Extensions 1→N→G→Q→1 with N=C5 and Q=C5xQ16