Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₆

Direct product G=N×Q with N=D₄ and Q=D₂₆

		d	ρ	Label	ID
C₂×D₄×D₁₃		104		C2xD4xD13	416,216

Semidirect products G=N:Q with N=D₄ and Q=D₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₂₆ = D₈×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	104	4+	D4:1D26	416,131
D₄⋊₂D₂₆ = D₈⋊D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	104	4	D4:2D26	416,132
D₄⋊₃D₂₆ = C₂×D₄⋊D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4:3D26	416,152
D₄⋊₄D₂₆ = D₄⋊D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	104	4+	D4:4D26	416,170
D₄⋊₅D₂₆ = C₂×D₄⋊₂D₁₃	φ: trivial image	208		D4:5D26	416,217
D₄⋊₆D₂₆ = D₄⋊₆D₂₆	φ: trivial image	104	4	D4:6D26	416,218
D₄⋊₇D₂₆ = C₄○D₄×D₁₃	φ: trivial image	104	4	D4:7D26	416,222
D₄⋊₈D₂₆ = D₄⋊₈D₂₆	φ: trivial image	104	4+	D4:8D26	416,223

Non-split extensions G=N.Q with N=D₄ and Q=D₂₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₂₆ = D₈⋊₃D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	208	4-	D4.1D26	416,133
D₄.₂D₂₆ = SD₁₆×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	104	4	D4.2D26	416,134
D₄.₃D₂₆ = Q₈⋊D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	104	4+	D4.3D26	416,135
D₄.₄D₂₆ = D₄.D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	208	4-	D4.4D26	416,136
D₄.₅D₂₆ = D₂₆.₆D₄	φ: D₂₆/D₁₃ → C₂ ⊆ Out D₄	208	4	D4.5D26	416,137
D₄.₆D₂₆ = D₅₂⋊₆C₂²	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	104	4	D4.6D26	416,153
D₄.₇D₂₆ = C₂×D₄.D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	208		D4.7D26	416,154
D₄.₈D₂₆ = C₅₂.C₂³	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	208	4	D4.8D26	416,171
D₄.₉D₂₆ = D₄.₉D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Out D₄	208	4-	D4.9D26	416,172
D₄.₁₀D₂₆ = D₄.₁₀D₂₆	φ: trivial image	208	4-	D4.10D26	416,224

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