Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₆

Direct product G=N×Q with N=C₂³ and Q=D₂₆

		d	ρ	Label	ID
C₂⁴×D₁₃		208		C2^4xD13	416,234

Semidirect products G=N:Q with N=C₂³ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁D₂₆ = C₂³⋊D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104		C2^3:1D26	416,158
C₂³⋊₂D₂₆ = D₄⋊₆D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104	4	C2^3:2D26	416,218
C₂³⋊₃D₂₆ = C₂×D₄×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	104		C2^3:3D26	416,216
C₂³⋊₄D₂₆ = C₂²×C₁₃⋊D₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3:4D26	416,226

Non-split extensions G=N.Q with N=C₂³ and Q=D₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₂₆ = C₂².₂D₅₂	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104	4	C2^3.1D26	416,13
C₂³.₂D₂₆ = C₂³⋊Dic₁₃	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104	4	C2^3.2D26	416,41
C₂³.₃D₂₆ = C₂³.D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.3D26	416,100
C₂³.₄D₂₆ = D₂₆.₁₂D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.4D26	416,104
C₂³.₅D₂₆ = D₂₆⋊D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.5D26	416,105
C₂³.₆D₂₆ = C₂³.₆D₂₆	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.6D26	416,106
C₂³.₇D₂₆ = C₅₂.₁₇D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.7D26	416,157
C₂³.₈D₂₆ = C₅₂⋊₂D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.8D26	416,159
C₂³.₉D₂₆ = Dic₁₃⋊D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.9D26	416,160
C₂³.₁₀D₂₆ = C₅₂⋊D₄	φ: D₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.10D26	416,161
C₂³.₁₁D₂₆ = C₂³.₁₁D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.11D26	416,98
C₂³.₁₂D₂₆ = C₂²⋊Dic₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.12D26	416,99
C₂³.₁₃D₂₆ = C₂²⋊C₄×D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	104		C2^3.13D26	416,101
C₂³.₁₄D₂₆ = Dic₁₃⋊₄D₄	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.14D26	416,102
C₂³.₁₅D₂₆ = C₂²⋊D₅₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	104		C2^3.15D26	416,103
C₂³.₁₆D₂₆ = C₂².D₅₂	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.16D26	416,107
C₂³.₁₇D₂₆ = D₄×Dic₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.17D26	416,155
C₂³.₁₈D₂₆ = C₂³.₁₈D₂₆	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.18D26	416,156
C₂³.₁₉D₂₆ = C₂×D₄⋊₂D₁₃	φ: D₂₆/D₁₃ → C₂ ⊆ Aut C₂³	208		C2^3.19D26	416,217
C₂³.₂₀D₂₆ = C₅₂.₄₈D₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.20D26	416,145
C₂³.₂₁D₂₆ = C₂³.₂₁D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.21D26	416,147
C₂³.₂₂D₂₆ = C₄×C₁₃⋊D₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.22D26	416,149
C₂³.₂₃D₂₆ = C₂³.₂₃D₂₆	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.23D26	416,150
C₂³.₂₄D₂₆ = C₅₂⋊₇D₄	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.24D26	416,151
C₂³.₂₅D₂₆ = C₂⁴⋊D₁₃	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	104		C2^3.25D26	416,174
C₂³.₂₆D₂₆ = C₂×D₅₂⋊₅C₂	φ: D₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.26D26	416,215
C₂³.₂₇D₂₆ = C₂₆.₁₀C₄²	central extension (φ=1)	416		C2^3.27D26	416,38
C₂³.₂₈D₂₆ = C₂×C₄×Dic₁₃	central extension (φ=1)	416		C2^3.28D26	416,143
C₂³.₂₉D₂₆ = C₂×C₂₆.D₄	central extension (φ=1)	416		C2^3.29D26	416,144
C₂³.₃₀D₂₆ = C₂×C₅₂⋊₃C₄	central extension (φ=1)	416		C2^3.30D26	416,146
C₂³.₃₁D₂₆ = C₂×D₂₆⋊C₄	central extension (φ=1)	208		C2^3.31D26	416,148
C₂³.₃₂D₂₆ = C₂×C₂³.D₁₃	central extension (φ=1)	208		C2^3.32D26	416,173
C₂³.₃₃D₂₆ = C₂²×Dic₂₆	central extension (φ=1)	416		C2^3.33D26	416,212
C₂³.₃₄D₂₆ = C₂²×C₄×D₁₃	central extension (φ=1)	208		C2^3.34D26	416,213
C₂³.₃₅D₂₆ = C₂²×D₅₂	central extension (φ=1)	208		C2^3.35D26	416,214
C₂³.₃₆D₂₆ = C₂³×Dic₁₃	central extension (φ=1)	416		C2^3.36D26	416,225

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Extensions 1→N→G→Q→1 with N=C23 and Q=D26

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₂₆