Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊₃D₄

Direct product G=N×Q with N=C₃ and Q=D₆⋊₃D₄

		d	ρ	Label	ID
C₃×D₆⋊₃D₄		48		C3xD6:3D4	288,709

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊₃D₄) = C₁₂⋊₂D₁₂	φ: D₆⋊₃D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(D6:3D4)	288,564
C₃⋊₂(D₆⋊₃D₄) = C₆².₁₀₀C₂³	φ: D₆⋊₃D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:2(D6:3D4)	288,606
C₃⋊₃(D₆⋊₃D₄) = D₆⋊₂D₁₂	φ: D₆⋊₃D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:3(D6:3D4)	288,556
C₃⋊₄(D₆⋊₃D₄) = C₆².₁₁₂C₂³	φ: D₆⋊₃D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:4(D6:3D4)	288,618
C₃⋊₅(D₆⋊₃D₄) = C₆².₂₅₆C₂³	φ: D₆⋊₃D₄/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:5(D6:3D4)	288,795

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊₃D₄) = C₃₆⋊₂D₄	φ: D₆⋊₃D₄/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(D6:3D4)	288,148

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