Extensions 1→N→G→Q→1 with N=Dic₅₀ and Q=C₂

Direct product G=N×Q with N=Dic₅₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₀		400		C2xDic50	400,35

Semidirect products G=N:Q with N=Dic₅₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₀⋊₁C₂ = C₂₀₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	200	2	Dic50:1C2	400,7
Dic₅₀⋊₂C₂ = D₄.D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	200	4-	Dic50:2C2	400,15
Dic₅₀⋊₃C₂ = D₄⋊₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	200	4-	Dic50:3C2	400,40
Dic₅₀⋊₄C₂ = Q₈×D₂₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	200	4-	Dic50:4C2	400,41
Dic₅₀⋊₅C₂ = D₁₀₀⋊₅C₂	φ: trivial image	200	2	Dic50:5C2	400,38

Non-split extensions G=N.Q with N=Dic₅₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₀.₁C₂ = Dic₁₀₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	400	2-	Dic50.1C2	400,4
Dic₅₀.₂C₂ = C₂₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₀	400	4-	Dic50.2C2	400,17

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