Extensions 1→N→G→Q→1 with N=D₄oD₈ and Q=C₂

Direct product G=NxQ with N=D₄oD₈ and Q=C₂

		d	ρ	Label	ID
C₂xD₄oD₈		32		C2xD4oD8	128,2313

Semidirect products G=N:Q with N=D₄oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄oD₈:₁C₂ = Q₁₆.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	32	4+	D4oD8:1C2	128,924
D₄oD₈:₂C₂ = D₈:₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	16	8+	D4oD8:2C2	128,2020
D₄oD₈:₃C₂ = D₈oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	32	4	D4oD8:3C2	128,2022
D₄oD₈:₄C₂ = D₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	16	4+	D4oD8:4C2	128,2024
D₄oD₈:₅C₂ = D₄oD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	32	4+	D4oD8:5C2	128,2147
D₄oD₈:₆C₂ = D₄oSD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	32	4	D4oD8:6C2	128,2148
D₄oD₈:₇C₂ = D₈:C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	16	8+	D4oD8:7C2	128,2317
D₄oD₈:₈C₂ = C₈.C₂⁴	φ: trivial image	32	4	D4oD8:8C2	128,2316

Non-split extensions G=N.Q with N=D₄oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄oD₈.C₂ = D₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄oD₈	32	4	D4oD8.C2	128,926

׿

x

:

Z

F

o

wr

Q

<