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	288,678

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) = C₂₄.₆₄D₆	φ: D₁₂.C₄/S₃×C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(D12.C4)	288,452
C₃⋊₂(D₁₂.C₄) = C₂₄.D₆	φ: D₁₂.C₄/C₈⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(D12.C4)	288,453
C₃⋊₃(D₁₂.C₄) = C₃⋊C₈.₂₂D₆	φ: D₁₂.C₄/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:3(D12.C4)	288,465
C₃⋊₄(D₁₂.C₄) = C₂₄.₄₇D₆	φ: D₁₂.C₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144		C3:4(D12.C4)	288,764
C₃⋊₅(D₁₂.C₄) = D₁₂.Dic₃	φ: D₁₂.C₄/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:5(D12.C4)	288,463

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) = D₃₆.C₄	φ: D₁₂.C₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	144	4	C3.(D12.C4)	288,117

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