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

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

		d	ρ	Label	ID
C₃×D₁₂		24	2	C3xD12	72,28

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₁₂ = C₁₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃	36		C3:1D12	72,33
C₃⋊₂D₁₂ = C₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₃	12	4+	C3:2D12	72,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₁₂ = D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₃	36	2+	C3.D12	72,6

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