Extensions 1→N→G→Q→1 with N=Dic₂₁ and Q=C₄

Direct product G=NxQ with N=Dic₂₁ and Q=C₄

		d	ρ	Label	ID
C₄xDic₂₁		336		C4xDic21	336,97

Semidirect products G=N:Q with N=Dic₂₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁:₁C₄ = C₄₂.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:1C4	336,98
Dic₂₁:₂C₄ = Dic₃xDic₇	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:2C4	336,41
Dic₂₁:₃C₄ = Dic₂₁:C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	336		Dic21:3C4	336,46

Non-split extensions G=N.Q with N=Dic₂₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₁.₁C₄ = C₅₆:S₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	2	Dic21.1C4	336,91
Dic₂₁.₂C₄ = D₂₁:C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	4	Dic21.2C4	336,25
Dic₂₁.₃C₄ = D₄₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₁	168	4	Dic21.3C4	336,28
Dic₂₁.₄C₄ = C₈xD₂₁	φ: trivial image	168	2	Dic21.4C4	336,90

׿

x

:

Z

F

o

wr

Q

<