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Extensions 1→N→G→Q→1 with N=C32⋊C9 and Q=S3

Direct product G=N×Q with N=C32⋊C9 and Q=S3
dρLabelID
S3×C32⋊C954S3xC3^2:C9486,95

Semidirect products G=N:Q with N=C32⋊C9 and Q=S3
extensionφ:Q→Out NdρLabelID
C32⋊C9⋊1S3 = C32⋊C9⋊S3φ: S3/C1 → S3 ⊆ Out C32⋊C9186C3^2:C9:1S3486,7
C32⋊C9⋊2S3 = (C3×He3).C6φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9:2S3486,9
C32⋊C9⋊3S3 = C33⋊1C18φ: S3/C1 → S3 ⊆ Out C32⋊C9186C3^2:C9:3S3486,18
C32⋊C9⋊4S3 = (C3×He3)⋊S3φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:4S3486,43
C32⋊C9⋊5S3 = (C3×He3).S3φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:5S3486,44
C32⋊C9⋊6S3 = C32⋊C9⋊6S3φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:6S3486,46
C32⋊C9⋊7S3 = C33⋊2D9φ: S3/C1 → S3 ⊆ Out C32⋊C927C3^2:C9:7S3486,52
C32⋊C9⋊8S3 = He3⋊2D9φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:8S3486,56
C32⋊C9⋊9S3 = C9⋊He3⋊2C2φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:9S3486,148
C32⋊C9⋊10S3 = (C32×C9)⋊C6φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9:10S3486,151
C32⋊C9⋊11S3 = (C32×C9)⋊8S3φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9:11S3486,150
C32⋊C9⋊12S3 = C33⋊C18φ: S3/C3 → C2 ⊆ Out C32⋊C954C3^2:C9:12S3486,136
C32⋊C9⋊13S3 = C33⋊D9φ: S3/C3 → C2 ⊆ Out C32⋊C981C3^2:C9:13S3486,137
C32⋊C9⋊14S3 = He3⋊3D9φ: S3/C3 → C2 ⊆ Out C32⋊C981C3^2:C9:14S3486,142
C32⋊C9⋊15S3 = C33⋊6D9φ: S3/C3 → C2 ⊆ Out C32⋊C954C3^2:C9:15S3486,181
C32⋊C9⋊16S3 = He3⋊4D9φ: S3/C3 → C2 ⊆ Out C32⋊C9546C3^2:C9:16S3486,182

Non-split extensions G=N.Q with N=C32⋊C9 and Q=S3
extensionφ:Q→Out NdρLabelID
C32⋊C9.1S3 = C32⋊C9.S3φ: S3/C1 → S3 ⊆ Out C32⋊C9186C3^2:C9.1S3486,5
C32⋊C9.2S3 = C32⋊C9.C6φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.2S3486,10
C32⋊C9.3S3 = C33.(C3×S3)φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.3S3486,11
C32⋊C9.4S3 = C32⋊2D9.C3φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.4S3486,12
C32⋊C9.5S3 = (C3×C9)⋊C18φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.5S3486,20
C32⋊C9.6S3 = C9⋊S3⋊3C9φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.6S3486,22
C32⋊C9.7S3 = C33.(C3⋊S3)φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.7S3486,45
C32⋊C9.8S3 = C3.(C33⋊S3)φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.8S3486,47
C32⋊C9.9S3 = C3.(He3⋊S3)φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.9S3486,48
C32⋊C9.10S3 = C32⋊C9.10S3φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.10S3486,49
C32⋊C9.11S3 = (C3×C9)⋊5D9φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.11S3486,53
C32⋊C9.12S3 = (C3×C9)⋊6D9φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.12S3486,54
C32⋊C9.13S3 = 3- 1+2⋊D9φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.13S3486,57
C32⋊C9.14S3 = C92⋊10C6φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.14S3486,154
C32⋊C9.15S3 = C92⋊4C6φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.15S3486,155
C32⋊C9.16S3 = C92⋊5C6φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.16S3486,157
C32⋊C9.17S3 = C92⋊11C6φ: S3/C1 → S3 ⊆ Out C32⋊C981C3^2:C9.17S3486,158
C32⋊C9.18S3 = C92⋊6S3φ: S3/C1 → S3 ⊆ Out C32⋊C9186C3^2:C9.18S3486,153
C32⋊C9.19S3 = C92⋊5S3φ: S3/C1 → S3 ⊆ Out C32⋊C9546C3^2:C9.19S3486,156
C32⋊C9.20S3 = C92⋊3S3φ: S3/C3 → C2 ⊆ Out C32⋊C9546C3^2:C9.20S3486,139
C32⋊C9.21S3 = C92⋊3C6φ: S3/C3 → C2 ⊆ Out C32⋊C981C3^2:C9.21S3486,141
C32⋊C9.22S3 = C92⋊9C6φ: S3/C3 → C2 ⊆ Out C32⋊C981C3^2:C9.22S3486,144

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