Extensions 1→N→G→Q→1 with N=C32 and Q=C2xC20

Direct product G=NxQ with N=C32 and Q=C2xC20
dρLabelID
C6xC60360C6xC60360,115

Semidirect products G=N:Q with N=C32 and Q=C2xC20
extensionφ:Q→Aut NdρLabelID
C32:1(C2xC20) = C10xC32:C4φ: C2xC20/C10C4 ⊆ Aut C32604C3^2:1(C2xC20)360,148
C32:2(C2xC20) = C5xS3xDic3φ: C2xC20/C10C22 ⊆ Aut C321204C3^2:2(C2xC20)360,72
C32:3(C2xC20) = C5xC6.D6φ: C2xC20/C10C22 ⊆ Aut C32604C3^2:3(C2xC20)360,73
C32:4(C2xC20) = S3xC60φ: C2xC20/C20C2 ⊆ Aut C321202C3^2:4(C2xC20)360,96
C32:5(C2xC20) = C3:S3xC20φ: C2xC20/C20C2 ⊆ Aut C32180C3^2:5(C2xC20)360,106
C32:6(C2xC20) = Dic3xC30φ: C2xC20/C2xC10C2 ⊆ Aut C32120C3^2:6(C2xC20)360,98
C32:7(C2xC20) = C10xC3:Dic3φ: C2xC20/C2xC10C2 ⊆ Aut C32360C3^2:7(C2xC20)360,108


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