Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C12

Direct product G=N×Q with N=C5 and Q=S3×C12
dρLabelID
S3×C601202S3xC60360,96

Semidirect products G=N:Q with N=C5 and Q=S3×C12
extensionφ:Q→Aut NdρLabelID
C5⋊(S3×C12) = C3×S3×F5φ: S3×C12/C3×S3C4 ⊆ Aut C5308C5:(S3xC12)360,126
C52(S3×C12) = C3×D30.C2φ: S3×C12/C3×Dic3C2 ⊆ Aut C51204C5:2(S3xC12)360,60
C53(S3×C12) = C12×D15φ: S3×C12/C3×C12C2 ⊆ Aut C51202C5:3(S3xC12)360,101
C54(S3×C12) = C3×S3×Dic5φ: S3×C12/S3×C6C2 ⊆ Aut C51204C5:4(S3xC12)360,59


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