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
C₈×C₃⋊Dic₃		288		C8xC3:Dic3	288,288

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) = C₂₄⋊₁Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	288		C8:1(C3:Dic3)	288,293
C₈⋊₂(C₃⋊Dic₃) = C₂₄⋊₂Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	288		C8:2(C3:Dic3)	288,292
C₈⋊₃(C₃⋊Dic₃) = C₂₄⋊Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	288		C8:3(C3:Dic3)	288,290

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) = C₁₂.₅₉D₁₂	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.1(C3:Dic3)	288,294
C₈.₂(C₃⋊Dic₃) = C₂₄.₉₄D₆	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.2(C3:Dic3)	288,287
C₈.₃(C₃⋊Dic₃) = C₄₈.S₃	central extension (φ=1)	288		C8.3(C3:Dic3)	288,65
C₈.₄(C₃⋊Dic₃) = C₂×C₂₄.S₃	central extension (φ=1)	288		C8.4(C3:Dic3)	288,286

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