Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₂⋊₃D₄

Direct product G=N×Q with N=C₃ and Q=C₁₂⋊₃D₄

		d	ρ	Label	ID
C₃×C₁₂⋊₃D₄		48		C3xC12:3D4	288,711

Semidirect products G=N:Q with N=C₃ and Q=C₁₂⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂⋊₃D₄) = C₁₂⋊D₁₂	φ: C₁₂⋊₃D₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C12:3D4)	288,559
C₃⋊₂(C₁₂⋊₃D₄) = C₆².₈₄C₂³	φ: C₁₂⋊₃D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:2(C12:3D4)	288,562
C₃⋊₃(C₁₂⋊₃D₄) = C₆².₁₂₁C₂³	φ: C₁₂⋊₃D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₃	48		C3:3(C12:3D4)	288,627
C₃⋊₄(C₁₂⋊₃D₄) = C₆².₂₅₈C₂³	φ: C₁₂⋊₃D₄/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:4(C12:3D4)	288,797

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂⋊₃D₄) = C₃₆⋊D₄	φ: C₁₂⋊₃D₄/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(C12:3D4)	288,150

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