Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃xDic₃

Direct product G=NxQ with N=C₈ and Q=C₃xDic₃

		d	ρ	Label	ID
Dic₃xC₂₄		96		Dic3xC24	288,247

Semidirect products G=N:Q with N=C₈ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₃xDic₃) = C₃xC₂₄:₁C₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:1(C3xDic3)	288,252
C₈:₂(C₃xDic₃) = C₃xC₈:Dic₃	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:2(C3xDic3)	288,251
C₈:₃(C₃xDic₃) = C₃xC₂₄:C₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:3(C3xDic3)	288,249

Non-split extensions G=N.Q with N=C₈ and Q=C₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃xDic₃) = C₃xC₂₄.C₄	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₈	48	2	C8.1(C3xDic3)	288,253
C₈.₂(C₃xDic₃) = C₃xC₁₂.C₈	φ: C₃xDic₃/C₃xC₆ → C₂ ⊆ Aut C₈	48	2	C8.2(C3xDic3)	288,246
C₈.₃(C₃xDic₃) = C₃xC₃:C₃₂	central extension (φ=1)	96	2	C8.3(C3xDic3)	288,64
C₈.₄(C₃xDic₃) = C₆xC₃:C₁₆	central extension (φ=1)	96		C8.4(C3xDic3)	288,245

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