Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂

Direct product G=N×Q with N=Dic₆ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₆		48		C2xDic6	48,34

Semidirect products G=N:Q with N=Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₂ = C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	24	2	Dic6:1C2	48,6
Dic₆⋊₂C₂ = D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	24	4-	Dic6:2C2	48,16
Dic₆⋊₃C₂ = D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	24	4-	Dic6:3C2	48,39
Dic₆⋊₄C₂ = S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	24	4-	Dic6:4C2	48,40
Dic₆⋊₅C₂ = C₄○D₁₂	φ: trivial image	24	2	Dic6:5C2	48,37

Non-split extensions G=N.Q with N=Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₂ = Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	48	2-	Dic6.1C2	48,8
Dic₆.₂C₂ = C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆	48	4-	Dic6.2C2	48,18

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