Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₆

Direct product G=NxQ with N=C₈ and Q=Dic₆

		d	ρ	Label	ID
C₈xDic₆		192		C8xDic6	192,237

Semidirect products G=N:Q with N=C₈ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁Dic₆ = C₈:Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	192		C8:1Dic6	192,261
C₈:₂Dic₆ = C₂₄:₃Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	192		C8:2Dic6	192,415
C₈:₃Dic₆ = C₂₄:₄Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	192		C8:3Dic6	192,435
C₈:₄Dic₆ = C₂₄:₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8:4Dic6	192,433
C₈:₅Dic₆ = C₂₄:₅Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8:5Dic6	192,414
C₈:₆Dic₆ = C₂₄:Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8:6Dic6	192,260
C₈:₇Dic₆ = C₂₄:₈Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8:7Dic6	192,241
C₈:₈Dic₆ = C₂₄:₉Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8:8Dic6	192,239
C₈:₉Dic₆ = C₂₄:₁₂Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8:9Dic6	192,238

Non-split extensions G=N.Q with N=C₈ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₆ = C₈.Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	48	4	C8.1Dic6	192,46
C₈.₂Dic₆ = C₂₄.₆Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	48	4	C8.2Dic6	192,53
C₈.₃Dic₆ = C₂₄.Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₈	48	4	C8.3Dic6	192,72
C₈.₄Dic₆ = C₆.₆D₁₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8.4Dic6	192,48
C₈.₅Dic₆ = C₆.SD₃₂	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8.5Dic6	192,49
C₈.₆Dic₆ = C₈.₆Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8.6Dic6	192,437
C₈.₇Dic₆ = C₂₄.₇Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	96	4	C8.7Dic6	192,52
C₈.₈Dic₆ = C₈.₈Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	192		C8.8Dic6	192,417
C₈.₉Dic₆ = C₂₄.₉₇D₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₈	48	4	C8.9Dic6	192,70
C₈.₁₀Dic₆ = C₄₈:₅C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8.10Dic6	192,63
C₈.₁₁Dic₆ = C₄₈:₆C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8.11Dic6	192,64
C₈.₁₂Dic₆ = C₂₄.₁₃Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	192		C8.12Dic6	192,242
C₈.₁₃Dic₆ = C₄₈.C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	96	2	C8.13Dic6	192,65
C₈.₁₄Dic₆ = C₂₄.₁C₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₈	48	2	C8.14Dic6	192,22
C₈.₁₅Dic₆ = C₁₂:C₁₆	central extension (φ=1)	192		C8.15Dic6	192,21
C₈.₁₆Dic₆ = Dic₃:C₁₆	central extension (φ=1)	192		C8.16Dic6	192,60

׿

x

:

Z

F

o

wr

Q

<