Extensions 1→N→G→Q→1 with N=Dic₂₅ and Q=C₄

Direct product G=NxQ with N=Dic₂₅ and Q=C₄

		d	ρ	Label	ID
C₄xDic₂₅		400		C4xDic25	400,11

Semidirect products G=N:Q with N=Dic₂₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅:₁C₄ = C₅₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	400		Dic25:1C4	400,12
Dic₂₅:₂C₄ = C₄xC₂₅:C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	100	4	Dic25:2C4	400,30
Dic₂₅:₃C₄ = C₁₀₀:C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	100	4	Dic25:3C4	400,31

Non-split extensions G=N.Q with N=Dic₂₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₅.₁C₄ = C₈:D₂₅	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	200	2	Dic25.1C4	400,6
Dic₂₅.₂C₄ = C₂xC₂₅:C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	400		Dic25.2C4	400,32
Dic₂₅.₃C₄ = C₂₅:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₅	200	4-	Dic25.3C4	400,33
Dic₂₅.₄C₄ = C₈xD₂₅	φ: trivial image	200	2	Dic25.4C4	400,5

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