Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×Q₈⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₃×Q₈⋊C₄

		d	ρ	Label	ID
C₃²×Q₈⋊C₄		288		C3^2xQ8:C4	288,321

Semidirect products G=N:Q with N=C₃ and Q=C₃×Q₈⋊C₄

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃×Q₈⋊C₄) = C₃×C₆.SD₁₆	φ: C₃×Q₈⋊C₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:1(C3xQ8:C4)	288,244
C₃⋊₂(C₃×Q₈⋊C₄) = C₃×C₂.Dic₁₂	φ: C₃×Q₈⋊C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	96	C3:2(C3xQ8:C4)	288,250
C₃⋊₃(C₃×Q₈⋊C₄) = C₃×Q₈⋊₂Dic₃	φ: C₃×Q₈⋊C₄/C₆×Q₈ → C₂ ⊆ Aut C₃	96	C3:3(C3xQ8:C4)	288,269

Non-split extensions G=N.Q with N=C₃ and Q=C₃×Q₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×Q₈⋊C₄) = C₉×Q₈⋊C₄	central extension (φ=1)	288		C3.(C3xQ8:C4)	288,53

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×Q8⋊C4