Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₂

Direct product G=N×Q with N=C₄ and Q=Dic₂₂

		d	ρ	Label	ID
C₄×Dic₂₂		352		C4xDic22	352,63

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₂₂ = C₄₄⋊Q₈	φ: Dic₂₂/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4:1Dic22	352,83
C₄⋊₂Dic₂₂ = C₄₄⋊₂Q₈	φ: Dic₂₂/C₄₄ → C₂ ⊆ Aut C₄	352		C4:2Dic22	352,64

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₂₂ = C₄₄.Q₈	φ: Dic₂₂/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4.1Dic22	352,13
C₄.₂Dic₂₂ = C₄.Dic₂₂	φ: Dic₂₂/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4.2Dic22	352,14
C₄.₃Dic₂₂ = C₄₄.₃Q₈	φ: Dic₂₂/Dic₁₁ → C₂ ⊆ Aut C₄	352		C4.3Dic22	352,85
C₄.₄Dic₂₂ = C₄₄.₄Q₈	φ: Dic₂₂/C₄₄ → C₂ ⊆ Aut C₄	352		C4.4Dic22	352,23
C₄.₅Dic₂₂ = C₄₄.₅Q₈	φ: Dic₂₂/C₄₄ → C₂ ⊆ Aut C₄	352		C4.5Dic22	352,24
C₄.₆Dic₂₂ = C₄₄.₆Q₈	φ: Dic₂₂/C₄₄ → C₂ ⊆ Aut C₄	352		C4.6Dic22	352,65
C₄.₇Dic₂₂ = C₄₄⋊C₈	central extension (φ=1)	352		C4.7Dic22	352,10
C₄.₈Dic₂₂ = Dic₁₁⋊C₈	central extension (φ=1)	352		C4.8Dic22	352,20

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