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

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

		d	ρ	Label	ID
D₄×C₂₆		104		D4xC26	208,46

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊₁D₄ = C₂×D₅₂	φ: D₄/C₄ → C₂ ⊆ Aut C₂₆	104		C26:1D4	208,37
C₂₆⋊₂D₄ = C₂×C₁₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104		C26:2D4	208,44

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁D₄ = C₁₀₄⋊C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₂₆	104	2	C26.1D4	208,6
C₂₆.₂D₄ = D₁₀₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂₆	104	2+	C26.2D4	208,7
C₂₆.₃D₄ = Dic₅₂	φ: D₄/C₄ → C₂ ⊆ Aut C₂₆	208	2-	C26.3D4	208,8
C₂₆.₄D₄ = C₅₂⋊₃C₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂₆	208		C26.4D4	208,13
C₂₆.₅D₄ = C₂₆.D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	208		C26.5D4	208,12
C₂₆.₆D₄ = D₂₆⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104		C26.6D4	208,14
C₂₆.₇D₄ = D₄⋊D₁₃	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104	4+	C26.7D4	208,15
C₂₆.₈D₄ = D₄.D₁₃	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104	4-	C26.8D4	208,16
C₂₆.₉D₄ = Q₈⋊D₁₃	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104	4+	C26.9D4	208,17
C₂₆.₁₀D₄ = C₁₃⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	208	4-	C26.10D4	208,18
C₂₆.₁₁D₄ = C₂³.D₁₃	φ: D₄/C₂² → C₂ ⊆ Aut C₂₆	104		C26.11D4	208,19
C₂₆.₁₂D₄ = C₁₃×C₂²⋊C₄	central extension (φ=1)	104		C26.12D4	208,21
C₂₆.₁₃D₄ = C₁₃×C₄⋊C₄	central extension (φ=1)	208		C26.13D4	208,22
C₂₆.₁₄D₄ = C₁₃×D₈	central extension (φ=1)	104	2	C26.14D4	208,25
C₂₆.₁₅D₄ = C₁₃×SD₁₆	central extension (φ=1)	104	2	C26.15D4	208,26
C₂₆.₁₆D₄ = C₁₃×Q₁₆	central extension (φ=1)	208	2	C26.16D4	208,27

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