# Extensions 1→N→G→Q→1 with N=C8 and Q=S32

Direct product G=N×Q with N=C8 and Q=S32
dρLabelID
S32×C8484S3^2xC8288,437

Semidirect products G=N:Q with N=C8 and Q=S32
extensionφ:Q→Aut NdρLabelID
C81S32 = C241D6φ: S32/C32C22 ⊆ Aut C8484+C8:1S3^2288,442
C82S32 = D24⋊S3φ: S32/C32C22 ⊆ Aut C8484C8:2S3^2288,443
C83S32 = C246D6φ: S32/C32C22 ⊆ Aut C8484C8:3S3^2288,446
C84S32 = S3×D24φ: S32/C3×S3C2 ⊆ Aut C8484+C8:4S3^2288,441
C85S32 = S3×C24⋊C2φ: S32/C3×S3C2 ⊆ Aut C8484C8:5S3^2288,440
C86S32 = S3×C8⋊S3φ: S32/C3×S3C2 ⊆ Aut C8484C8:6S3^2288,438
C87S32 = C244D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8:7S3^2288,445
C88S32 = C249D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8:8S3^2288,444
C89S32 = C24⋊D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8:9S3^2288,439

Non-split extensions G=N.Q with N=C8 and Q=S32
extensionφ:Q→Aut NdρLabelID
C8.1S32 = C24.3D6φ: S32/C32C22 ⊆ Aut C8964-C8.1S3^2288,448
C8.2S32 = Dic12⋊S3φ: S32/C32C22 ⊆ Aut C8484C8.2S3^2288,449
C8.3S32 = D12.4D6φ: S32/C32C22 ⊆ Aut C8484C8.3S3^2288,459
C8.4S32 = C3⋊D48φ: S32/C3×S3C2 ⊆ Aut C8484+C8.4S3^2288,194
C8.5S32 = C323SD32φ: S32/C3×S3C2 ⊆ Aut C8964-C8.5S3^2288,196
C8.6S32 = C24.49D6φ: S32/C3×S3C2 ⊆ Aut C8484+C8.6S3^2288,197
C8.7S32 = C323Q32φ: S32/C3×S3C2 ⊆ Aut C8964-C8.7S3^2288,199
C8.8S32 = S3×Dic12φ: S32/C3×S3C2 ⊆ Aut C8964-C8.8S3^2288,447
C8.9S32 = D247S3φ: S32/C3×S3C2 ⊆ Aut C8964-C8.9S3^2288,455
C8.10S32 = D6.3D12φ: S32/C3×S3C2 ⊆ Aut C8484+C8.10S3^2288,456
C8.11S32 = D6.1D12φ: S32/C3×S3C2 ⊆ Aut C8484C8.11S3^2288,454
C8.12S32 = C24.64D6φ: S32/C3×S3C2 ⊆ Aut C8484C8.12S3^2288,452
C8.13S32 = C322D16φ: S32/C3⋊S3C2 ⊆ Aut C8964C8.13S3^2288,193
C8.14S32 = D24.S3φ: S32/C3⋊S3C2 ⊆ Aut C8964C8.14S3^2288,195
C8.15S32 = C322Q32φ: S32/C3⋊S3C2 ⊆ Aut C8964C8.15S3^2288,198
C8.16S32 = C24.23D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8.16S3^2288,450
C8.17S32 = D245S3φ: S32/C3⋊S3C2 ⊆ Aut C8484C8.17S3^2288,458
C8.18S32 = D12.2D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8.18S3^2288,457
C8.19S32 = C24.D6φ: S32/C3⋊S3C2 ⊆ Aut C8484C8.19S3^2288,453
C8.20S32 = S3×C3⋊C16central extension (φ=1)964C8.20S3^2288,189
C8.21S32 = C24.60D6central extension (φ=1)484C8.21S3^2288,190
C8.22S32 = C24.61D6central extension (φ=1)964C8.22S3^2288,191
C8.23S32 = C24.62D6central extension (φ=1)484C8.23S3^2288,192
C8.24S32 = C24.63D6central extension (φ=1)484C8.24S3^2288,451

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