Extensions 1→N→G→Q→1 with N=C32 and Q=D20

Direct product G=NxQ with N=C32 and Q=D20
dρLabelID
C32xD20180C3^2xD20360,92

Semidirect products G=N:Q with N=C32 and Q=D20
extensionφ:Q→Aut NdρLabelID
C32:D20 = C32:D20φ: D20/C5D4 ⊆ Aut C32308+C3^2:D20360,134
C32:2D20 = C3:D60φ: D20/C10C22 ⊆ Aut C32604+C3^2:2D20360,81
C32:3D20 = C32:3D20φ: D20/C10C22 ⊆ Aut C321204C3^2:3D20360,87
C32:4D20 = C3xD60φ: D20/C20C2 ⊆ Aut C321202C3^2:4D20360,102
C32:5D20 = C60:S3φ: D20/C20C2 ⊆ Aut C32180C3^2:5D20360,112
C32:6D20 = C3xC3:D20φ: D20/D10C2 ⊆ Aut C32604C3^2:6D20360,62
C32:7D20 = C32:7D20φ: D20/D10C2 ⊆ Aut C32180C3^2:7D20360,69


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