Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×Q₁₆

Direct product G=N×Q with N=C₅ and Q=C₅×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₅²		400		Q16xC5^2	400,115

Semidirect products G=N:Q with N=C₅ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅×Q₁₆) = C₅×Dic₂₀	φ: C₅×Q₁₆/C₄₀ → C₂ ⊆ Aut C₅	80	2	C5:1(C5xQ16)	400,80
C₅⋊₂(C₅×Q₁₆) = C₅×C₅⋊Q₁₆	φ: C₅×Q₁₆/C₅×Q₈ → C₂ ⊆ Aut C₅	80	4	C5:2(C5xQ16)	400,90

Non-split extensions G=N.Q with N=C₅ and Q=C₅×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×Q₁₆) = Q₁₆×C₂₅	central extension (φ=1)	400	2	C5.(C5xQ16)	400,27

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5×Q16