Extensions 1→N→G→Q→1 with N=D₄.₉D₄ and Q=C₂

Direct product G=NxQ with N=D₄.₉D₄ and Q=C₂

		d	ρ	Label	ID
C₂xD₄.₉D₄		32		C2xD4.9D4	128,1747

Semidirect products G=N:Q with N=D₄.₉D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₉D₄:₁C₂ = C₄²:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	4	D4.9D4:1C2	128,929
D₄.₉D₄:₂C₂ = C₄²:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:2C2	128,931
D₄.₉D₄:₃C₂ = M₄(2):C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:3C2	128,1751
D₄.₉D₄:₄C₂ = C₄².₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4:4C2	128,1754
D₄.₉D₄:₅C₂ = D₈:₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:5C2	128,2020
D₄.₉D₄:₆C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4:6C2	128,2021
D₄.₉D₄:₇C₂ = D₈oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	4	D4.9D4:7C2	128,2022
D₄.₉D₄:₈C₂ = C₄².₃₁₃C₂³	φ: trivial image	16	4	D4.9D4:8C2	128,1750

Non-split extensions G=N.Q with N=D₄.₉D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₉D₄.₁C₂ = C₄².₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	4	D4.9D4.1C2	128,135
D₄.₉D₄.₂C₂ = C₄².₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4.2C2	128,933

׿

x

:

Z

F

o

wr

Q

<