Extensions 1→N→G→Q→1 with N=C₃ and Q=D₁₂⋊C₄

Direct product G=N×Q with N=C₃ and Q=D₁₂⋊C₄

		d	ρ	Label	ID
C₃×D₁₂⋊C₄		48	4	C3xD12:C4	288,259

Semidirect products G=N:Q with N=C₃ and Q=D₁₂⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₁₂⋊C₄) = C₁₂.₈₀D₁₂	φ: D₁₂⋊C₄/C₄×Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(D12:C4)	288,218
C₃⋊₂(D₁₂⋊C₄) = C₆².₃₇D₄	φ: D₁₂⋊C₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	72		C3:2(D12:C4)	288,300
C₃⋊₃(D₁₂⋊C₄) = D₁₂⋊₄Dic₃	φ: D₁₂⋊C₄/C₄○D₁₂ → C₂ ⊆ Aut C₃	24	4	C3:3(D12:C4)	288,216

Non-split extensions G=N.Q with N=C₃ and Q=D₁₂⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₁₂⋊C₄) = Dic₁₈⋊C₄	φ: D₁₂⋊C₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	72	4	C3.(D12:C4)	288,32

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Extensions 1→N→G→Q→1 with N=C3 and Q=D12⋊C4