Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₃

Direct product G=NxQ with N=C₈ and Q=Dic₃

		d	ρ	Label	ID
C₈xDic₃		96		C8xDic3	96,20

Semidirect products G=N:Q with N=C₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁Dic₃ = C₂₄:₁C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₈	96		C8:1Dic3	96,25
C₈:₂Dic₃ = C₈:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₈	96		C8:2Dic3	96,24
C₈:₃Dic₃ = C₂₄:C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₈	96		C8:3Dic3	96,22

Non-split extensions G=N.Q with N=C₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₃ = C₂₄.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₈	48	2	C8.1Dic3	96,26
C₈.₂Dic₃ = C₁₂.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₈	48	2	C8.2Dic3	96,19
C₈.₃Dic₃ = C₃:C₃₂	central extension (φ=1)	96	2	C8.3Dic3	96,1
C₈.₄Dic₃ = C₂xC₃:C₁₆	central extension (φ=1)	96		C8.4Dic3	96,18

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