Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₆

Direct product G=N×Q with N=C₄ and Q=Dic₂₆

		d	ρ	Label	ID
C₄×Dic₂₆		416		C4xDic26	416,89

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₂₆ = C₅₂⋊Q₈	φ: Dic₂₆/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4:1Dic26	416,109
C₄⋊₂Dic₂₆ = C₅₂⋊₂Q₈	φ: Dic₂₆/C₅₂ → C₂ ⊆ Aut C₄	416		C4:2Dic26	416,90

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₂₆ = C₂₆.D₈	φ: Dic₂₆/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.1Dic26	416,14
C₄.₂Dic₂₆ = C₅₂.Q₈	φ: Dic₂₆/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.2Dic26	416,15
C₄.₃Dic₂₆ = C₄.Dic₂₆	φ: Dic₂₆/Dic₁₃ → C₂ ⊆ Aut C₄	416		C4.3Dic26	416,111
C₄.₄Dic₂₆ = C₁₀₄⋊₆C₄	φ: Dic₂₆/C₅₂ → C₂ ⊆ Aut C₄	416		C4.4Dic26	416,24
C₄.₅Dic₂₆ = C₁₀₄⋊₅C₄	φ: Dic₂₆/C₅₂ → C₂ ⊆ Aut C₄	416		C4.5Dic26	416,25
C₄.₆Dic₂₆ = C₅₂.₆Q₈	φ: Dic₂₆/C₅₂ → C₂ ⊆ Aut C₄	416		C4.6Dic26	416,91
C₄.₇Dic₂₆ = C₅₂⋊₃C₈	central extension (φ=1)	416		C4.7Dic26	416,11
C₄.₈Dic₂₆ = C₅₂.₈Q₈	central extension (φ=1)	416		C4.8Dic26	416,21

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