Extensions 1→N→G→Q→1 with N=Dic₂₅ and Q=C₂

Direct product G=N×Q with N=Dic₂₅ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₂₅		200		C2xDic25	200,7

Semidirect products G=N:Q with N=Dic₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅⋊C₂ = C₂₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₅	100	2	Dic25:C2	200,8
Dic₂₅⋊₂C₂ = C₄×D₂₅	φ: trivial image	100	2	Dic25:2C2	200,5

Non-split extensions G=N.Q with N=Dic₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅.₁C₂ = Dic₅₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₅	200	2-	Dic25.1C2	200,4
Dic₂₅.₂C₂ = C₂₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₅	200	4-	Dic25.2C2	200,3

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Extensions 1→N→G→Q→1 with N=Dic25 and Q=C2