Extensions 1→N→G→Q→1 with N=C7:C9 and Q=C6

Direct product G=NxQ with N=C7:C9 and Q=C6
dρLabelID
C6xC7:C9378C6xC7:C9378,26

Semidirect products G=N:Q with N=C7:C9 and Q=C6
extensionφ:Q→Out NdρLabelID
C7:C9:1C6 = C9:3F7φ: C6/C1C6 ⊆ Out C7:C9636C7:C9:1C6378,8
C7:C9:2C6 = C9:4F7φ: C6/C1C6 ⊆ Out C7:C9636C7:C9:2C6378,9
C7:C9:3C6 = C32.F7φ: C6/C1C6 ⊆ Out C7:C9636C7:C9:3C6378,11
C7:C9:4C6 = C2xC63:C3φ: C6/C2C3 ⊆ Out C7:C91263C7:C9:4C6378,24
C7:C9:5C6 = C2xC63:3C3φ: C6/C2C3 ⊆ Out C7:C91263C7:C9:5C6378,25
C7:C9:6C6 = C2xC21.C32φ: C6/C2C3 ⊆ Out C7:C91263C7:C9:6C6378,27
C7:C9:7C6 = C9xF7φ: C6/C3C2 ⊆ Out C7:C9636C7:C9:7C6378,7
C7:C9:8C6 = C3xC7:C18φ: C6/C3C2 ⊆ Out C7:C9189C7:C9:8C6378,10
C7:C9:9C6 = C18xC7:C3φ: trivial image1263C7:C9:9C6378,23


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