Extensions 1→N→G→Q→1 with N=C₂₆.D₄ and Q=C₂

Direct product G=N×Q with N=C₂₆.D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₆.D₄		416		C2xC26.D4	416,144

Semidirect products G=N:Q with N=C₂₆.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₆.D₄⋊₁C₂ = C₄²⋊₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:1C2	416,97
C₂₆.D₄⋊₂C₂ = C₅₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:2C2	416,145
C₂₆.D₄⋊₃C₂ = C₂³.₂₃D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:3C2	416,150
C₂₆.D₄⋊₄C₂ = C₂²⋊Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:4C2	416,99
C₂₆.D₄⋊₅C₂ = D₂₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:5C2	416,105
C₂₆.D₄⋊₆C₂ = D₂₆.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:6C2	416,115
C₂₆.D₄⋊₇C₂ = C₂³.₁₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:7C2	416,98
C₂₆.D₄⋊₈C₂ = C₂³.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:8C2	416,100
C₂₆.D₄⋊₉C₂ = Dic₁₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:9C2	416,102
C₂₆.D₄⋊₁₀C₂ = D₂₆.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:10C2	416,104
C₂₆.D₄⋊₁₁C₂ = C₄⋊C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:11C2	416,112
C₂₆.D₄⋊₁₂C₂ = D₂₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:12C2	416,117
C₂₆.D₄⋊₁₃C₂ = C₄⋊C₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:13C2	416,119
C₂₆.D₄⋊₁₄C₂ = C₂³.₁₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:14C2	416,156
C₂₆.D₄⋊₁₅C₂ = Dic₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:15C2	416,160
C₂₆.D₄⋊₁₆C₂ = D₂₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	208		C26.D4:16C2	416,167
C₂₆.D₄⋊₁₇C₂ = C₄²⋊D₁₃	φ: trivial image	208		C26.D4:17C2	416,93
C₂₆.D₄⋊₁₈C₂ = C₄×C₁₃⋊D₄	φ: trivial image	208		C26.D4:18C2	416,149

Non-split extensions G=N.Q with N=C₂₆.D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₆.D₄.₁C₂ = C₅₂.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.1C2	416,91
C₂₆.D₄.₂C₂ = C₅₂⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.2C2	416,109
C₂₆.D₄.₃C₂ = C₄.Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.3C2	416,111
C₂₆.D₄.₄C₂ = Dic₁₃⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.4C2	416,108
C₂₆.D₄.₅C₂ = Dic₁₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.5C2	416,110
C₂₆.D₄.₆C₂ = Dic₁₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₆.D₄	416		C26.D4.6C2	416,165
C₂₆.D₄.₇C₂ = C₄×Dic₂₆	φ: trivial image	416		C26.D4.7C2	416,89

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