Extensions 1→N→G→Q→1 with N=C5 and Q=C8⋊S3

Direct product G=N×Q with N=C5 and Q=C8⋊S3
dρLabelID
C5×C8⋊S31202C5xC8:S3240,50

Semidirect products G=N:Q with N=C5 and Q=C8⋊S3
extensionφ:Q→Aut NdρLabelID
C51(C8⋊S3) = Dic3.F5φ: C8⋊S3/Dic3C4 ⊆ Aut C51208+C5:1(C8:S3)240,101
C52(C8⋊S3) = D6.F5φ: C8⋊S3/D6C4 ⊆ Aut C51208-C5:2(C8:S3)240,100
C53(C8⋊S3) = D30.5C4φ: C8⋊S3/C3⋊C8C2 ⊆ Aut C51204C5:3(C8:S3)240,12
C54(C8⋊S3) = C40⋊S3φ: C8⋊S3/C24C2 ⊆ Aut C51202C5:4(C8:S3)240,66
C55(C8⋊S3) = D6.Dic5φ: C8⋊S3/C4×S3C2 ⊆ Aut C51204C5:5(C8:S3)240,11


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