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Extensions 1→N→G→Q→1 with N=C32:C9 and Q=C3

Direct product G=NxQ with N=C32:C9 and Q=C3
dρLabelID
C3xC32:C981C3xC3^2:C9243,32

Semidirect products G=N:Q with N=C32:C9 and Q=C3
extensionφ:Q→Out NdρLabelID
C32:C9:1C3 = C32.24He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:1C3243,3
C32:C9:2C3 = C33.C32φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:2C3243,4
C32:C9:3C3 = C32.27He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:3C3243,6
C32:C9:4C3 = C33:C9φ: C3/C1 → C3 ⊆ Out C32:C927C3^2:C9:4C3243,13
C32:C9:5C3 = He3:C9φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:5C3243,17
C32:C9:6C3 = C34.C3φ: C3/C1 → C3 ⊆ Out C32:C927C3^2:C9:6C3243,38
C32:C9:7C3 = C9:He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:7C3243,39
C32:C9:8C3 = C32.23C33φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9:8C3243,40
C32:C9:9C3 = C9xHe3φ: trivial image81C3^2:C9:9C3243,35

Non-split extensions G=N.Q with N=C32:C9 and Q=C3
extensionφ:Q→Out NdρLabelID
C32:C9.1C3 = C33.3C32φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.1C3243,5
C32:C9.2C3 = C32.28He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.2C3243,7
C32:C9.3C3 = C32.29He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.3C3243,8
C32:C9.4C3 = C33.7C32φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.4C3243,9
C32:C9.5C3 = C32.19He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.5C3243,14
C32:C9.6C3 = C32.20He3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.6C3243,15
C32:C9.7C3 = 3- 1+2:C9φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.7C3243,18
C32:C9.8C3 = C9:3- 1+2φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.8C3243,41
C32:C9.9C3 = C33.31C32φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.9C3243,42
C32:C9.10C3 = C92:7C3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.10C3243,43
C32:C9.11C3 = C92:4C3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.11C3243,44
C32:C9.12C3 = C92:5C3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.12C3243,45
C32:C9.13C3 = C92:8C3φ: C3/C1 → C3 ⊆ Out C32:C981C3^2:C9.13C3243,46
C32:C9.14C3 = C92:3C3φ: trivial image81C3^2:C9.14C3243,34
C32:C9.15C3 = C9x3- 1+2φ: trivial image81C3^2:C9.15C3243,36

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