Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊₁D₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊₁D₄

		d	ρ	Label	ID
C₃²×C₄⋊₁D₄		144		C3^2xC4:1D4	288,824

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄⋊₁D₄) = C₃×C₄⋊D₁₂	φ: C₃×C₄⋊₁D₄/C₄×C₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4:1D4)	288,645
C₃⋊₂(C₃×C₄⋊₁D₄) = C₃×C₁₂⋊₃D₄	φ: C₃×C₄⋊₁D₄/C₆×D₄ → C₂ ⊆ Aut C₃	48		C3:2(C3xC4:1D4)	288,711

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄⋊₁D₄) = C₉×C₄⋊₁D₄	central extension (φ=1)	144		C3.(C3xC4:1D4)	288,177

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4⋊1D4