Extensions 1→N→G→Q→1 with N=Dic₁₂ and Q=C₄

Direct product G=N×Q with N=Dic₁₂ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₁₂		192		C4xDic12	192,257

Semidirect products G=N:Q with N=Dic₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂⋊₁C₄ = C₂.Dic₂₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12:1C4	192,62
Dic₁₂⋊₂C₄ = D₂₄⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:2C4	192,77
Dic₁₂⋊₃C₄ = Dic₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12:3C4	192,275
Dic₁₂⋊₄C₄ = D₂₄⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:4C4	192,276
Dic₁₂⋊₅C₄ = C₆.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12:5C4	192,51
Dic₁₂⋊₆C₄ = Dic₃⋊₅Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12:6C4	192,432
Dic₁₂⋊₇C₄ = D₂₄⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:7C4	192,454
Dic₁₂⋊₈C₄ = D₂₄⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:8C4	192,47
Dic₁₂⋊₉C₄ = Dic₁₂⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	192		Dic12:9C4	192,412
Dic₁₂⋊₁₀C₄ = D₂₄⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	48	4	Dic12:10C4	192,453
Dic₁₂⋊₁₁C₄ = D₂₄⋊₁₁C₄	φ: trivial image	48	2	Dic12:11C4	192,259

Non-split extensions G=N.Q with N=Dic₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₂.₁C₄ = D₂₄.₁C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	96	2	Dic12.1C4	192,69
Dic₁₂.₂C₄ = C₁₂.₄D₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.2C4	192,76
Dic₁₂.₃C₄ = Dic₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	96	4	Dic12.3C4	192,56
Dic₁₂.₄C₄ = C₂₄.₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₂	96	4-	Dic12.4C4	192,55

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