Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂

Direct product G=N×Q with N=Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃		24		C2xDic3	24,7

Semidirect products G=N:Q with N=Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₂ = C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃	12	2	Dic3:C2	24,8
Dic₃⋊₂C₂ = C₄×S₃	φ: trivial image	12	2	Dic3:2C2	24,5

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.C₂ = Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃	24	2-	Dic3.C2	24,4

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2