Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₆

Direct product G=N×Q with N=C₈ and Q=D₂₆

		d	ρ	Label	ID
C₂×C₈×D₁₃		208		C2xC8xD13	416,120

Semidirect products G=N:Q with N=C₈ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₂₆ = C₈⋊D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	104	4+	C8:1D26	416,129
C₈⋊₂D₂₆ = D₈⋊D₁₃	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	104	4	C8:2D26	416,132
C₈⋊₃D₂₆ = Q₈⋊D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	104	4+	C8:3D26	416,135
C₈⋊₄D₂₆ = D₈×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	104	4+	C8:4D26	416,131
C₈⋊₅D₂₆ = SD₁₆×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	104	4	C8:5D26	416,134
C₈⋊₆D₂₆ = M₄(2)×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	104	4	C8:6D26	416,127
C₈⋊₇D₂₆ = C₂×D₁₀₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208		C8:7D26	416,124
C₈⋊₈D₂₆ = C₂×C₁₀₄⋊C₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208		C8:8D26	416,123
C₈⋊₉D₂₆ = C₂×C₈⋊D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208		C8:9D26	416,121

Non-split extensions G=N.Q with N=C₈ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₂₆ = C₈.D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	208	4-	C8.1D26	416,130
C₈.₂D₂₆ = D₄.D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	208	4-	C8.2D26	416,136
C₈.₃D₂₆ = Q₁₆⋊D₁₃	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₈	208	4	C8.3D26	416,139
C₈.₄D₂₆ = C₁₃⋊D₁₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4+	C8.4D26	416,33
C₈.₅D₂₆ = D₈.D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4-	C8.5D26	416,34
C₈.₆D₂₆ = C₈.₆D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4+	C8.6D26	416,35
C₈.₇D₂₆ = C₁₃⋊Q₃₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	416	4-	C8.7D26	416,36
C₈.₈D₂₆ = D₈⋊₃D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4-	C8.8D26	416,133
C₈.₉D₂₆ = Q₁₆×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4-	C8.9D26	416,138
C₈.₁₀D₂₆ = D₁₀₄⋊C₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4+	C8.10D26	416,140
C₈.₁₁D₂₆ = D₂₆.₆D₄	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4	C8.11D26	416,137
C₈.₁₂D₂₆ = D₅₂.₂C₄	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₈	208	4	C8.12D26	416,128
C₈.₁₃D₂₆ = D₂₀₈	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208	2+	C8.13D26	416,6
C₈.₁₄D₂₆ = C₁₆⋊D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.14D26	416,7
C₈.₁₅D₂₆ = Dic₁₀₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	416	2-	C8.15D26	416,8
C₈.₁₆D₂₆ = C₂×Dic₅₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	416		C8.16D26	416,126
C₈.₁₇D₂₆ = D₁₀₄⋊₇C₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.17D26	416,125
C₈.₁₈D₂₆ = D₅₂.₃C₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.18D26	416,122
C₈.₁₉D₂₆ = C₁₆×D₁₃	central extension (φ=1)	208	2	C8.19D26	416,4
C₈.₂₀D₂₆ = C₂₀₈⋊C₂	central extension (φ=1)	208	2	C8.20D26	416,5
C₈.₂₁D₂₆ = C₂×C₁₃⋊₂C₁₆	central extension (φ=1)	416		C8.21D26	416,18
C₈.₂₂D₂₆ = C₅₂.₄C₈	central extension (φ=1)	208	2	C8.22D26	416,19

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Extensions 1→N→G→Q→1 with N=C8 and Q=D26

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₆