Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂Dic₃

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂Dic₃

		d	ρ	Label	ID
C₃×Q₈⋊₂Dic₃		96		C3xQ8:2Dic3	288,269

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(Q₈⋊₂Dic₃) = C₆.Dic₁₂	φ: Q₈⋊₂Dic₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96	C3:1(Q8:2Dic3)	288,214
C₃⋊₂(Q₈⋊₂Dic₃) = Dic₆⋊Dic₃	φ: Q₈⋊₂Dic₃/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(Q8:2Dic3)	288,213
C₃⋊₃(Q₈⋊₂Dic₃) = C₆².₁₁₇D₄	φ: Q₈⋊₂Dic₃/C₆×Q₈ → C₂ ⊆ Aut C₃	288	C3:3(Q8:2Dic3)	288,310

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₂Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₂Dic₃) = Q₈⋊₂Dic₉	φ: Q₈⋊₂Dic₃/C₆×Q₈ → C₂ ⊆ Aut C₃	288		C3.(Q8:2Dic3)	288,43

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊2Dic3