Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₆

Direct product G=N×Q with N=C₃ and Q=Dic₆

		d	ρ	Label	ID
C₃×Dic₆		24	2	C3xDic6	72,26

Semidirect products G=N:Q with N=C₃ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁Dic₆ = C₃²⋊₂Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₃	24	4-	C3:1Dic6	72,24
C₃⋊₂Dic₆ = C₃²⋊₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃	72		C3:2Dic6	72,31

Non-split extensions G=N.Q with N=C₃ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.Dic₆ = Dic₁₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₃	72	2-	C3.Dic6	72,4

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Extensions 1→N→G→Q→1 with N=C3 and Q=Dic6