Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₂₆

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₂₆

		d	ρ	Label	ID
C₄⋊C₄×C₂₆		416		C4:C4xC26	416,177

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₂₆ = C₁₃×D₄⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:1C26	416,52
C₄⋊C₄⋊₂C₂₆ = C₁₃×C₄⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:2C26	416,182
C₄⋊C₄⋊₃C₂₆ = C₁₃×C₂²⋊Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:3C26	416,183
C₄⋊C₄⋊₄C₂₆ = C₁₃×C₂².D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:4C26	416,184
C₄⋊C₄⋊₅C₂₆ = C₁₃×C₄²⋊₂C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	208		C4:C4:5C26	416,187
C₄⋊C₄⋊₆C₂₆ = C₁₃×C₄²⋊C₂	φ: trivial image	208		C4:C4:6C26	416,178
C₄⋊C₄⋊₇C₂₆ = D₄×C₅₂	φ: trivial image	208		C4:C4:7C26	416,179

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₂₆ = C₁₃×Q₈⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.1C26	416,53
C₄⋊C₄.₂C₂₆ = C₁₃×C₄.Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.2C26	416,56
C₄⋊C₄.₃C₂₆ = C₁₃×C₂.D₈	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.3C26	416,57
C₄⋊C₄.₄C₂₆ = C₁₃×C₄².C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.4C26	416,186
C₄⋊C₄.₅C₂₆ = C₁₃×C₄⋊Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₄⋊C₄	416		C4:C4.5C26	416,189
C₄⋊C₄.₆C₂₆ = Q₈×C₅₂	φ: trivial image	416		C4:C4.6C26	416,180

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