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

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

		d	ρ	Label	ID
D₄×C₂×C₂₆		208		D4xC2xC26	416,228

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₂₆) = D₈×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4:1(C2xC26)	416,193
D₄⋊₂(C₂×C₂₆) = C₁₃×C₈⋊C₂²	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out D₄	104	4	D4:2(C2xC26)	416,197
D₄⋊₃(C₂×C₂₆) = C₄○D₄×C₂₆	φ: trivial image	208		D4:3(C2xC26)	416,230
D₄⋊₄(C₂×C₂₆) = C₁₃×2₊¹⁺⁴	φ: trivial image	104	4	D4:4(C2xC26)	416,231

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₂₆) = SD₁₆×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4.1(C2xC26)	416,194
D₄.₂(C₂×C₂₆) = C₁₃×C₄○D₈	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out D₄	208	2	D4.2(C2xC26)	416,196
D₄.₃(C₂×C₂₆) = C₁₃×C₈.C₂²	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Out D₄	208	4	D4.3(C2xC26)	416,198
D₄.₄(C₂×C₂₆) = C₁₃×2_-¹⁺⁴	φ: trivial image	208	4	D4.4(C2xC26)	416,232

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