Extensions 1→N→G→Q→1 with N=C5 and Q=C2xD12

Direct product G=NxQ with N=C5 and Q=C2xD12
dρLabelID
C10xD12120C10xD12240,167

Semidirect products G=N:Q with N=C5 and Q=C2xD12
extensionφ:Q→Aut NdρLabelID
C5:1(C2xD12) = D5xD12φ: C2xD12/D12C2 ⊆ Aut C5604+C5:1(C2xD12)240,136
C5:2(C2xD12) = C2xD60φ: C2xD12/C2xC12C2 ⊆ Aut C5120C5:2(C2xD12)240,177
C5:3(C2xD12) = C2xC5:D12φ: C2xD12/C22xS3C2 ⊆ Aut C5120C5:3(C2xD12)240,147


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