Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₃Dic₃

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₃Dic₃

		d	ρ	Label	ID
C₃×Q₈⋊₃Dic₃		48	4	C3xQ8:3Dic3	288,271

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₃Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₃Dic₃) = D₁₂⋊₄Dic₃	φ: Q₈⋊₃Dic₃/C₄.Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:1(Q8:3Dic3)	288,216
C₃⋊₂(Q₈⋊₃Dic₃) = D₁₂⋊₂Dic₃	φ: Q₈⋊₃Dic₃/C₄×Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:2(Q8:3Dic3)	288,217
C₃⋊₃(Q₈⋊₃Dic₃) = C₆².₃₉D₄	φ: Q₈⋊₃Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72		C3:3(Q8:3Dic3)	288,312

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₃Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₃Dic₃) = Q₈⋊₃Dic₉	φ: Q₈⋊₃Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72	4	C3.(Q8:3Dic3)	288,44

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊3Dic3