Extensions 1→N→G→Q→1 with N=C₂³:C₈ and Q=C₂

Direct product G=NxQ with N=C₂³:C₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₂³:C₈		32		C2xC2^3:C8	128,188

Semidirect products G=N:Q with N=C₂³:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³:C₈:₁C₂ = C₂⁴:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:1C2	128,48
C₂³:C₈:₂C₂ = C₂⁴.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:2C2	128,75
C₂³:C₈:₃C₂ = C₂³:D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:3C2	128,327
C₂³:C₈:₄C₂ = C₂³.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:4C2	128,339
C₂³:C₈:₅C₂ = C₂⁴.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:5C2	128,332
C₂³:C₈:₆C₂ = C₂⁴.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:6C2	128,338
C₂³:C₈:₇C₂ = C₂⁴.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:7C2	128,344
C₂³:C₈:₈C₂ = C₂⁴.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:8C2	128,350
C₂³:C₈:₉C₂ = C₂³:SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:9C2	128,328
C₂³:C₈:₁₀C₂ = C₂³:₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:10C2	128,333
C₂³:C₈:₁₁C₂ = C₂⁴.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:11C2	128,345
C₂³:C₈:₁₂C₂ = C₂⁵.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	16		C2^3:C8:12C2	128,194
C₂³:C₈:₁₃C₂ = C₂³:M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:13C2	128,197
C₂³:C₈:₁₄C₂ = C₄².₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:14C2	128,198
C₂³:C₈:₁₅C₂ = C₂³:C₈:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:15C2	128,200
C₂³:C₈:₁₆C₂ = C₄².₃₉₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:16C2	128,201
C₂³:C₈:₁₇C₂ = C₂⁴.(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8:17C2	128,203
C₂³:C₈:₁₈C₂ = C₂³.₈M₄(2)	φ: trivial image	32		C2^3:C8:18C2	128,191
C₂³:C₈:₁₉C₂ = C₄².₃₉₃D₄	φ: trivial image	32		C2^3:C8:19C2	128,192

Non-split extensions G=N.Q with N=C₂³:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³:C₈.₁C₂ = C₂³.₁₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.1C2	128,49
C₂³:C₈.₂C₂ = C₂³.₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.2C2	128,58
C₂³:C₈.₃C₂ = C₂³.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.3C2	128,76
C₂³:C₈.₄C₂ = C₂³.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.4C2	128,83
C₂³:C₈.₅C₂ = C₂⁴.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.5C2	128,84
C₂³:C₈.₆C₂ = C₂³:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.6C2	128,334
C₂³:C₈.₇C₂ = C₂⁴.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.7C2	128,346
C₂³:C₈.₈C₂ = C₂⁴.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.8C2	128,340
C₂³:C₈.₉C₂ = C₄².₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.9C2	128,196
C₂³:C₈.₁₀C₂ = C₄².₃₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³:C₈	32		C2^3:C8.10C2	128,205
C₂³:C₈.₁₁C₂ = C₄².₃₇₁D₄	φ: trivial image	32		C2^3:C8.11C2	128,190

׿

x

:

Z

F

o

wr

Q

<