Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂₆

Direct product G=N×Q with N=C₄² and Q=C₂₆

		d	ρ	Label	ID
C₂×C₄×C₅₂		416		C2xC4xC52	416,175

Semidirect products G=N:Q with N=C₄² and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₂₆ = C₁₃×C₄²⋊C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:1C26	416,178
C₄²⋊₂C₂₆ = C₁₃×C₄²⋊₂C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:2C26	416,187
C₄²⋊₃C₂₆ = C₁₃×C₄≀C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	104	2	C4^2:3C26	416,54
C₄²⋊₄C₂₆ = D₄×C₅₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:4C26	416,179
C₄²⋊₅C₂₆ = C₁₃×C₄.₄D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:5C26	416,185
C₄²⋊₆C₂₆ = C₁₃×C₄⋊₁D₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	208		C4^2:6C26	416,188

Non-split extensions G=N.Q with N=C₄² and Q=C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₂₆ = C₁₃×C₈⋊C₄	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.1C26	416,47
C₄².₂C₂₆ = C₁₃×C₄⋊C₈	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.2C26	416,55
C₄².₃C₂₆ = Q₈×C₅₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.3C26	416,180
C₄².₄C₂₆ = C₁₃×C₄².C₂	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.4C26	416,186
C₄².₅C₂₆ = C₁₃×C₄⋊Q₈	φ: C₂₆/C₁₃ → C₂ ⊆ Aut C₄²	416		C4^2.5C26	416,189

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