Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄².C₂

Direct product G=N×Q with N=C₃ and Q=C₃×C₄².C₂

		d	ρ	Label	ID
C₃²×C₄².C₂		288		C3^2xC4^2.C2	288,822

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄².C₂

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃×C₄².C₂) = C₃×C₁₂.₆Q₈	φ: C₃×C₄².C₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	96	C3:1(C3xC4^2.C2)	288,641
C₃⋊₂(C₃×C₄².C₂) = C₃×Dic₃.Q₈	φ: C₃×C₄².C₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:2(C3xC4^2.C2)	288,660
C₃⋊₃(C₃×C₄².C₂) = C₃×C₄.Dic₆	φ: C₃×C₄².C₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:3(C3xC4^2.C2)	288,661

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄².C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄².C₂) = C₉×C₄².C₂	central extension (φ=1)	288		C3.(C3xC4^2.C2)	288,175

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C42.C2