Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₂₆

Direct product G=NxQ with N=D₄ and Q=C₂xC₂₆

		d	ρ	Label	ID
D₄xC₂xC₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xC₂₆) = D₈xC₂₆	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4:1(C2xC26)	416,193
D₄:₂(C₂xC₂₆) = C₁₃xC₈:C₂²	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Out D₄	104	4	D4:2(C2xC26)	416,197
D₄:₃(C₂xC₂₆) = C₄oD₄xC₂₆	φ: trivial image	208		D4:3(C2xC26)	416,230
D₄:₄(C₂xC₂₆) = C₁₃x2₊¹⁺⁴	φ: trivial image	104	4	D4:4(C2xC26)	416,231

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xC₂₆) = SD₁₆xC₂₆	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4.1(C2xC26)	416,194
D₄.₂(C₂xC₂₆) = C₁₃xC₄oD₈	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Out D₄	208	2	D4.2(C2xC26)	416,196
D₄.₃(C₂xC₂₆) = C₁₃xC₈.C₂²	φ: C₂xC₂₆/C₂₆ → C₂ ⊆ Out D₄	208	4	D4.3(C2xC26)	416,198
D₄.₄(C₂xC₂₆) = C₁₃x2_-¹⁺⁴	φ: trivial image	208	4	D4.4(C2xC26)	416,232

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