Extensions 1→N→G→Q→1 with N=D₄.C₈ and Q=C₂

Direct product G=NxQ with N=D₄.C₈ and Q=C₂

		d	ρ	Label	ID
C₂xD₄.C₈		64		C2xD4.C8	128,848

Semidirect products G=N:Q with N=D₄.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₈:₁C₂ = Q₁₆.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	32	4+	D4.C8:1C2	128,924
D₄.C₈:₂C₂ = Q₁₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	32	4	D4.C8:2C2	128,925
D₄.C₈:₃C₂ = D₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	32	4	D4.C8:3C2	128,926
D₄.C₈:₄C₂ = D₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	64	4-	D4.C8:4C2	128,927
D₄.C₈:₅C₂ = M₅(2):₁₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	32	4	D4.C8:5C2	128,849
D₄.C₈:₆C₂ = D₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.C₈	32	4	D4.C8:6C2	128,903
D₄.C₈:₇C₂ = C₁₆oD₈	φ: trivial image	32	2	D4.C8:7C2	128,902

׿

x

:

Z

F

o

wr

Q

<