Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=C₂

Direct product G=N×Q with N=Dic₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₁₂		96		C2xDic12	96,112

Semidirect products G=N:Q with N=Dic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁C₂ = C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	2	Dic12:1C2	96,7
Dic₁₂⋊₂C₂ = C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	4-	Dic12:2C2	96,116
Dic₁₂⋊₃C₂ = D₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	4-	Dic12:3C2	96,34
Dic₁₂⋊₄C₂ = D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	4-	Dic12:4C2	96,119
Dic₁₂⋊₅C₂ = S₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	4-	Dic12:5C2	96,124
Dic₁₂⋊₆C₂ = D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	48	4-	Dic12:6C2	96,122
Dic₁₂⋊₇C₂ = C₄○D₂₄	φ: trivial image	48	2	Dic12:7C2	96,111

Non-split extensions G=N.Q with N=Dic₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁C₂ = Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	96	2-	Dic12.1C2	96,8
Dic₁₂.₂C₂ = C₃⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.2C2	96,36

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