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

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

		d	ρ	Label	ID
C₃×C₁₂.D₄		24	4	C3xC12.D4	288,267

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₂.D₄) = C₁₂.D₁₂	φ: C₁₂.D₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C12.D4)	288,206
C₃⋊₂(C₁₂.D₄) = (C₆×D₄).S₃	φ: C₁₂.D₄/C₆×D₄ → C₂ ⊆ Aut C₃	72		C3:2(C12.D4)	288,308

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂.D₄) = C₃₆.D₄	φ: C₁₂.D₄/C₆×D₄ → C₂ ⊆ Aut C₃	72	4	C3.(C12.D4)	288,39

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