Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×SD₁₆

Direct product G=N×Q with N=C₅ and Q=C₅×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₅²		200		SD16xC5^2	400,114

Semidirect products G=N:Q with N=C₅ and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅×SD₁₆) = C₅×C₄₀⋊C₂	φ: C₅×SD₁₆/C₄₀ → C₂ ⊆ Aut C₅	80	2	C5:1(C5xSD16)	400,78
C₅⋊₂(C₅×SD₁₆) = C₅×D₄.D₅	φ: C₅×SD₁₆/C₅×D₄ → C₂ ⊆ Aut C₅	40	4	C5:2(C5xSD16)	400,88
C₅⋊₃(C₅×SD₁₆) = C₅×Q₈⋊D₅	φ: C₅×SD₁₆/C₅×Q₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C5xSD16)	400,89

Non-split extensions G=N.Q with N=C₅ and Q=C₅×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×SD₁₆) = SD₁₆×C₂₅	central extension (φ=1)	200	2	C5.(C5xSD16)	400,26

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C5 and Q=C5×SD16