Extensions 1→N→G→Q→1 with N=Dic₅ and Q=Q₁₆

Direct product G=N×Q with N=Dic₅ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×Dic₅		320		Q16xDic5	320,810

Semidirect products G=N:Q with N=Dic₅ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁Q₁₆ = C₄₀.₂₆D₄	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	320		Dic5:1Q16	320,808
Dic₅⋊₂Q₁₆ = Dic₅⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5:2Q16	320,420
Dic₅⋊₃Q₁₆ = Dic₅⋊₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5:3Q16	320,809
Dic₅⋊₄Q₁₆ = Dic₅⋊₄Q₁₆	φ: trivial image	320		Dic5:4Q16	320,417
Dic₅⋊₅Q₁₆ = Dic₅⋊₅Q₁₆	φ: trivial image	320		Dic5:5Q16	320,500

Non-split extensions G=N.Q with N=Dic₅ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁Q₁₆ = Dic₅.D₈	φ: Q₁₆/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.1Q16	320,211
Dic₅.₂Q₁₆ = Dic₅.Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.2Q16	320,269
Dic₅.₃Q₁₆ = Dic₅.₃Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.3Q16	320,419
Dic₅.₄Q₁₆ = C₄₀⋊₂Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.4Q16	320,501
Dic₅.₅Q₁₆ = C₈₀⋊₂C₄	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.5Q16	320,187
Dic₅.₆Q₁₆ = C₈₀⋊₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.6Q16	320,188
Dic₅.₇Q₁₆ = C₄₀⋊₁C₈	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.7Q16	320,220
Dic₅.₈Q₁₆ = Dic₅.₁₃D₈	φ: Q₁₆/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.8Q16	320,222
Dic₅.₉Q₁₆ = Dic₅.₉Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5.9Q16	320,421
Dic₅.₁₀Q₁₆ = Dic₁₀⋊₂Q₈	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5.10Q16	320,502
Dic₅.₁₁Q₁₆ = Dic₁₀⋊₁C₈	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5.11Q16	320,210
Dic₅.₁₂Q₁₆ = Dic₅.₁₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out Dic₅	320		Dic5.12Q16	320,268

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