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Extensions 1→N→G→Q→1 with N=C32⋊C9 and Q=C6

Direct product G=N×Q with N=C32⋊C9 and Q=C6
dρLabelID
C6×C32⋊C9162C6xC3^2:C9486,191

Semidirect products G=N:Q with N=C32⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
C32⋊C9⋊1C6 = C32⋊C9⋊C6φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9:1C6486,6
C32⋊C9⋊2C6 = C3.3C3≀S3φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9:2C6486,8
C32⋊C9⋊3C6 = C33⋊1D9φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9:3C6486,19
C32⋊C9⋊4C6 = C34.S3φ: C6/C1 → C6 ⊆ Out C32⋊C927C3^2:C9:4C6486,105
C32⋊C9⋊5C6 = C34.7S3φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9:5C6486,147
C32⋊C9⋊6C6 = (C32×C9)⋊S3φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9:6C6486,149
C32⋊C9⋊7C6 = C34.C6φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9:7C6486,104
C32⋊C9⋊8C6 = C9⋊He3⋊C2φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9:8C6486,107
C32⋊C9⋊9C6 = C2×C32.24He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:9C6486,63
C32⋊C9⋊10C6 = C2×C33.C32φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:10C6486,64
C32⋊C9⋊11C6 = C2×C32.27He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:11C6486,66
C32⋊C9⋊12C6 = C2×C33⋊C9φ: C6/C2 → C3 ⊆ Out C32⋊C954C3^2:C9:12C6486,73
C32⋊C9⋊13C6 = C2×He3⋊C9φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:13C6486,77
C32⋊C9⋊14C6 = C2×C34.C3φ: C6/C2 → C3 ⊆ Out C32⋊C954C3^2:C9:14C6486,197
C32⋊C9⋊15C6 = C2×C9⋊He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:15C6486,198
C32⋊C9⋊16C6 = C2×C32.23C33φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9:16C6486,199
C32⋊C9⋊17C6 = C3×C32⋊C18φ: C6/C3 → C2 ⊆ Out C32⋊C954C3^2:C9:17C6486,93
C32⋊C9⋊18C6 = C9×C32⋊C6φ: C6/C3 → C2 ⊆ Out C32⋊C9546C3^2:C9:18C6486,98
C32⋊C9⋊19C6 = C3×C32⋊D9φ: C6/C3 → C2 ⊆ Out C32⋊C954C3^2:C9:19C6486,94
C32⋊C9⋊20C6 = C3×C32⋊2D9φ: C6/C3 → C2 ⊆ Out C32⋊C954C3^2:C9:20C6486,135
C32⋊C9⋊21C6 = C18×He3φ: trivial image162C3^2:C9:21C6486,194

Non-split extensions G=N.Q with N=C32⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
C32⋊C9.1C6 = C32⋊C9.S3φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9.1C6486,5
C32⋊C9.2C6 = C32⋊C9.C6φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.2C6486,10
C32⋊C9.3C6 = C33.(C3×S3)φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.3C6486,11
C32⋊C9.4C6 = C32⋊2D9.C3φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.4C6486,12
C32⋊C9.5C6 = (C3×C9)⋊D9φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.5C6486,21
C32⋊C9.6C6 = (C3×C9)⋊3D9φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.6C6486,23
C32⋊C9.7C6 = C9⋊C9⋊2S3φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.7C6486,152
C32⋊C9.8C6 = C92⋊6S3φ: C6/C1 → C6 ⊆ Out C32⋊C9186C3^2:C9.8C6486,153
C32⋊C9.9C6 = C92⋊5S3φ: C6/C1 → C6 ⊆ Out C32⋊C9546C3^2:C9.9C6486,156
C32⋊C9.10C6 = C2×C33.3C32φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.10C6486,65
C32⋊C9.11C6 = C2×C32.28He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.11C6486,67
C32⋊C9.12C6 = C2×C32.29He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.12C6486,68
C32⋊C9.13C6 = C2×C33.7C32φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.13C6486,69
C32⋊C9.14C6 = C2×C32.19He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.14C6486,74
C32⋊C9.15C6 = C2×C32.20He3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.15C6486,75
C32⋊C9.16C6 = C2×3- 1+2⋊C9φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.16C6486,78
C32⋊C9.17C6 = C2×C9⋊3- 1+2φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.17C6486,200
C32⋊C9.18C6 = C2×C33.31C32φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.18C6486,201
C32⋊C9.19C6 = C2×C92⋊7C3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.19C6486,202
C32⋊C9.20C6 = C2×C92⋊4C3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.20C6486,203
C32⋊C9.21C6 = C2×C92⋊5C3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.21C6486,204
C32⋊C9.22C6 = C2×C92⋊8C3φ: C6/C2 → C3 ⊆ Out C32⋊C9162C3^2:C9.22C6486,205
C32⋊C9.23C6 = C92⋊4S3φ: C6/C3 → C2 ⊆ Out C32⋊C9546C3^2:C9.23C6486,140
C32⋊C9.24C6 = C2×C92⋊3C3φ: trivial image162C3^2:C9.24C6486,193
C32⋊C9.25C6 = C18×3- 1+2φ: trivial image162C3^2:C9.25C6486,195

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