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

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

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

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

extension	φ:Q→Out N	d	Label	ID
D₂₆⋊₁D₄ = D₂₆⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	D26:1D4	416,105
D₂₆⋊₂D₄ = C₄⋊₂D₅₂	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	D26:2D4	416,116
D₂₆⋊₃D₄ = C₅₂⋊₂D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	D26:3D4	416,159
D₂₆⋊₄D₄ = C₂²⋊D₅₂	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	D26:4D4	416,103
D₂₆⋊₅D₄ = C₂³⋊D₂₆	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	D26:5D4	416,158

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆.₁D₄ = D₂₆.D₄	φ: D₄/C₂ → C₂² ⊆ Out D₂₆	104	4+	D26.1D4	416,74
D₂₆.₂D₄ = Dic₂₆⋊C₄	φ: D₄/C₂ → C₂² ⊆ Out D₂₆	104	8-	D26.2D4	416,83
D₂₆.₃D₄ = D₅₂⋊C₄	φ: D₄/C₂ → C₂² ⊆ Out D₂₆	104	8+	D26.3D4	416,85
D₂₆.₄D₄ = D₂₆.₄D₄	φ: D₄/C₂ → C₂² ⊆ Out D₂₆	104	4	D26.4D4	416,86
D₂₆.₅D₄ = D₈⋊₃D₁₃	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	4-	D26.5D4	416,133
D₂₆.₆D₄ = D₂₆.₆D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	4	D26.6D4	416,137
D₂₆.₇D₄ = D₁₀₄⋊C₂	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	208	4+	D26.7D4	416,140
D₂₆.₈D₄ = D₂₆.₈D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	104	4	D26.8D4	416,68
D₂₆.₉D₄ = D₁₃.D₈	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	104	4	D26.9D4	416,69
D₂₆.₁₀D₄ = D₂₆.Q₈	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	104		D26.10D4	416,81
D₂₆.₁₁D₄ = C₂×C₅₂⋊C₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₆	104		D26.11D4	416,203
D₂₆.₁₂D₄ = D₂₆.₁₂D₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	208		D26.12D4	416,104
D₂₆.₁₃D₄ = D₂₆.₁₃D₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	208		D26.13D4	416,115
D₂₆.₁₄D₄ = D₈⋊D₁₃	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	4	D26.14D4	416,132
D₂₆.₁₅D₄ = Q₈⋊D₂₆	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	4+	D26.15D4	416,135
D₂₆.₁₆D₄ = D₄.D₂₆	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	208	4-	D26.16D4	416,136
D₂₆.₁₇D₄ = Q₁₆⋊D₁₃	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	208	4	D26.17D4	416,139
D₂₆.₁₈D₄ = D₅₂⋊₁C₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	8+	D26.18D4	416,82
D₂₆.₁₉D₄ = D₁₃.Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104	8-	D26.19D4	416,84
D₂₆.₂₀D₄ = C₂×D₁₃.D₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₆	104		D26.20D4	416,211
D₂₆.₂₁D₄ = C₂²⋊C₄×D₁₃	φ: trivial image	104		D26.21D4	416,101
D₂₆.₂₂D₄ = C₄⋊C₄×D₁₃	φ: trivial image	208		D26.22D4	416,112
D₂₆.₂₃D₄ = D₈×D₁₃	φ: trivial image	104	4+	D26.23D4	416,131
D₂₆.₂₄D₄ = SD₁₆×D₁₃	φ: trivial image	104	4	D26.24D4	416,134
D₂₆.₂₅D₄ = Q₁₆×D₁₃	φ: trivial image	208	4-	D26.25D4	416,138

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

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