Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₈ and Q=C₃×Dic₃

		d	ρ	Label	ID
Dic₃×C₂₄		96		Dic3xC24	288,247

Semidirect products G=N:Q with N=C₈ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃×Dic₃) = C₃×C₂₄⋊₁C₄	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	96		C8:1(C3xDic3)	288,252
C₈⋊₂(C₃×Dic₃) = C₃×C₈⋊Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	96		C8:2(C3xDic3)	288,251
C₈⋊₃(C₃×Dic₃) = C₃×C₂₄⋊C₄	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	96		C8:3(C3xDic3)	288,249

Non-split extensions G=N.Q with N=C₈ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃×Dic₃) = C₃×C₂₄.C₄	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	48	2	C8.1(C3xDic3)	288,253
C₈.₂(C₃×Dic₃) = C₃×C₁₂.C₈	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	48	2	C8.2(C3xDic3)	288,246
C₈.₃(C₃×Dic₃) = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C8.3(C3xDic3)	288,64
C₈.₄(C₃×Dic₃) = C₆×C₃⋊C₁₆	central extension (φ=1)	96		C8.4(C3xDic3)	288,245

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