Extensions 1→N→G→Q→1 with N=C₈oD₈ and Q=C₂

Direct product G=NxQ with N=C₈oD₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₈oD₈		32		C2xC8oD8	128,1685

Semidirect products G=N:Q with N=C₈oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₈:₁C₂ = C₈oD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	2	C8oD8:1C2	128,910
C₈oD₈:₂C₂ = D₁₆:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8:2C2	128,911
C₈oD₈:₃C₂ = C₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8:3C2	128,944
C₈oD₈:₄C₂ = D₈:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4+	C8oD8:4C2	128,945
C₈oD₈:₅C₂ = C₄².₂₈₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8:5C2	128,1687
C₈oD₈:₆C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4	C8oD8:6C2	128,1688
C₈oD₈:₇C₂ = M₄(2)oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8:7C2	128,1689
C₈oD₈:₈C₂ = D₈oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8:8C2	128,2022
C₈oD₈:₉C₂ = D₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4	C8oD8:9C2	128,2023
C₈oD₈:₁₀C₂ = D₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4+	C8oD8:10C2	128,2024
C₈oD₈:₁₁C₂ = D₈oQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4-	C8oD8:11C2	128,2025

Non-split extensions G=N.Q with N=C₈oD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₈.₁C₂ = C₈wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	2	C8oD8.1C2	128,67
C₈oD₈.₂C₂ = C₈.₃₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4	C8oD8.2C2	128,68
C₈oD₈.₃C₂ = D₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8.3C2	128,903
C₈oD₈.₄C₂ = C₈.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4-	C8oD8.4C2	128,946
C₈oD₈.₅C₂ = D₈:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	16	4	C8oD8.5C2	128,962
C₈oD₈.₆C₂ = D₈.₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈oD₈	32	4	C8oD8.6C2	128,963
C₈oD₈.₇C₂ = C₁₆oD₈	φ: trivial image	32	2	C8oD8.7C2	128,902

׿

x

:

Z

F

o

wr

Q

<