Extensions 1→N→G→Q→1 with N=C₂₆ and Q=D₈

Direct product G=N×Q with N=C₂₆ and Q=D₈

		d	ρ	Label	ID
D₈×C₂₆		208		D8xC26	416,193

Semidirect products G=N:Q with N=C₂₆ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊₁D₈ = C₂×D₁₀₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	208		C26:1D8	416,124
C₂₆⋊₂D₈ = C₂×D₄⋊D₁₃	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208		C26:2D8	416,152

Non-split extensions G=N.Q with N=C₂₆ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁D₈ = D₂₀₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	208	2+	C26.1D8	416,6
C₂₆.₂D₈ = C₁₆⋊D₁₃	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	208	2	C26.2D8	416,7
C₂₆.₃D₈ = Dic₁₀₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	416	2-	C26.3D8	416,8
C₂₆.₄D₈ = C₁₀₄⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	416		C26.4D8	416,25
C₂₆.₅D₈ = D₅₂⋊₅C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₆	208		C26.5D8	416,28
C₂₆.₆D₈ = C₂₆.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	416		C26.6D8	416,14
C₂₆.₇D₈ = D₅₂⋊₆C₄	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208		C26.7D8	416,16
C₂₆.₈D₈ = C₁₃⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208	4+	C26.8D8	416,33
C₂₆.₉D₈ = D₈.D₁₃	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208	4-	C26.9D8	416,34
C₂₆.₁₀D₈ = C₈.₆D₂₆	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208	4+	C26.10D8	416,35
C₂₆.₁₁D₈ = C₁₃⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	416	4-	C26.11D8	416,36
C₂₆.₁₂D₈ = D₄⋊Dic₁₃	φ: D₈/D₄ → C₂ ⊆ Aut C₂₆	208		C26.12D8	416,39
C₂₆.₁₃D₈ = C₁₃×D₄⋊C₄	central extension (φ=1)	208		C26.13D8	416,52
C₂₆.₁₄D₈ = C₁₃×C₂.D₈	central extension (φ=1)	416		C26.14D8	416,57
C₂₆.₁₅D₈ = C₁₃×D₁₆	central extension (φ=1)	208	2	C26.15D8	416,61
C₂₆.₁₆D₈ = C₁₃×SD₃₂	central extension (φ=1)	208	2	C26.16D8	416,62
C₂₆.₁₇D₈ = C₁₃×Q₃₂	central extension (φ=1)	416	2	C26.17D8	416,63

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