Extensions 1→N→G→Q→1 with N=C₆×C₁₂ and Q=C₃

Direct product G=N×Q with N=C₆×C₁₂ and Q=C₃

		d	ρ	Label	ID
C₃×C₆×C₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₆×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₂)⋊C₃ = C₂×C₄×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆×C₁₂	72		(C6xC12):C3	216,74

Non-split extensions G=N.Q with N=C₆×C₁₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₁₂).C₃ = C₂×C₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₆×C₁₂	72		(C6xC12).C3	216,75

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Extensions 1→N→G→Q→1 with N=C6×C12 and Q=C3