Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂₆

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₂₆

		d	ρ	Label	ID
C₂²⋊C₄×C₂₆		208		C2^2:C4xC26	416,176

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂₆ = C₁₃×C₂³⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	104	4	C2^2:C4:1C26	416,49
C₂²⋊C₄⋊₂C₂₆ = C₁₃×C₂²≀C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	104		C2^2:C4:2C26	416,181
C₂²⋊C₄⋊₃C₂₆ = C₁₃×C₄⋊D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	208		C2^2:C4:3C26	416,182
C₂²⋊C₄⋊₄C₂₆ = C₁₃×C₂².D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	208		C2^2:C4:4C26	416,184
C₂²⋊C₄⋊₅C₂₆ = C₁₃×C₄.₄D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	208		C2^2:C4:5C26	416,185
C₂²⋊C₄⋊₆C₂₆ = D₄×C₅₂	φ: trivial image	208		C2^2:C4:6C26	416,179

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂₆ = C₁₃×C₂²⋊Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	208		C2^2:C4.1C26	416,183
C₂²⋊C₄.₂C₂₆ = C₁₃×C₄²⋊₂C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Out C₂²⋊C₄	208		C2^2:C4.2C26	416,187
C₂²⋊C₄.₃C₂₆ = C₁₃×C₄²⋊C₂	φ: trivial image	208		C2^2:C4.3C26	416,178

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