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

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

		d	ρ	Label	ID
C₄xDic₁₂		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

׿

x

:

Z

F

o

wr

Q

<