Extensions 1→N→G→Q→1 with N=D₄xC₂₅ and Q=C₂

Direct product G=NxQ with N=D₄xC₂₅ and Q=C₂

		d	ρ	Label	ID
D₄xC₅₀		200		D4xC50	400,46

Semidirect products G=N:Q with N=D₄xC₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₅):₁C₂ = D₄:D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	200	4+	(D4xC25):1C2	400,16
(D₄xC₂₅):₂C₂ = D₄xD₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	100	4+	(D4xC25):2C2	400,39
(D₄xC₂₅):₃C₂ = D₄:₂D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	200	4-	(D4xC25):3C2	400,40
(D₄xC₂₅):₄C₂ = D₈xC₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	200	2	(D4xC25):4C2	400,25
(D₄xC₂₅):₅C₂ = C₄oD₄xC₂₅	φ: trivial image	200	2	(D4xC25):5C2	400,48

Non-split extensions G=N.Q with N=D₄xC₂₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₅).₁C₂ = D₄.D₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	200	4-	(D4xC25).1C2	400,15
(D₄xC₂₅).₂C₂ = SD₁₆xC₂₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₅	200	2	(D4xC25).2C2	400,26

׿

x

:

Z

F

o

wr

Q

<