Extensions 1→N→G→Q→1 with N=C5 and Q=C4×S3

Direct product G=N×Q with N=C5 and Q=C4×S3
dρLabelID
S3×C20602S3xC20120,22

Semidirect products G=N:Q with N=C5 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
C5⋊(C4×S3) = S3×F5φ: C4×S3/S3 → C4 ⊆ Aut C5158+C5:(C4xS3)120,36
C5⋊2(C4×S3) = D30.C2φ: C4×S3/Dic3 → C2 ⊆ Aut C5604+C5:2(C4xS3)120,10
C5⋊3(C4×S3) = C4×D15φ: C4×S3/C12 → C2 ⊆ Aut C5602C5:3(C4xS3)120,27
C5⋊4(C4×S3) = S3×Dic5φ: C4×S3/D6 → C2 ⊆ Aut C5604-C5:4(C4xS3)120,9


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