Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.D₁₂

Direct product G=N×Q with N=C₃ and Q=C₆.D₁₂

		d	ρ	Label	ID
C₃×C₆.D₁₂		48		C3xC6.D12	432,427

Semidirect products G=N:Q with N=C₃ and Q=C₆.D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆.D₁₂) = C₆².₇₉D₆	φ: C₆.D₁₂/C₆×Dic₃ → C₂ ⊆ Aut C₃	72		C3:1(C6.D12)	432,451
C₃⋊₂(C₆.D₁₂) = C₆².₈₄D₆	φ: C₆.D₁₂/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	48		C3:2(C6.D12)	432,461

Non-split extensions G=N.Q with N=C₃ and Q=C₆.D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆.D₁₂) = C₆.₁₈D₃₆	φ: C₆.D₁₂/C₆×Dic₃ → C₂ ⊆ Aut C₃	72		C3.1(C6.D12)	432,92
C₃.₂(C₆.D₁₂) = C₆².₅D₆	φ: C₆.D₁₂/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	72		C3.2(C6.D12)	432,98

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.D12