Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₆

Direct product G=N×Q with N=Dic₃ and Q=C₆

		d	ρ	Label	ID
C₆×Dic₃		24		C6xDic3	72,29

Semidirect products G=N:Q with N=Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₆ = C₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₃	12	2	Dic3:C6	72,30
Dic₃⋊₂C₆ = S₃×C₁₂	φ: trivial image	24	2	Dic3:2C6	72,27

Non-split extensions G=N.Q with N=Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.C₆ = C₃×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₃	24	2	Dic3.C6	72,26

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C6