Extensions 1→N→G→Q→1 with N=C5 and Q=S3×D5

Direct product G=N×Q with N=C5 and Q=S3×D5
dρLabelID
C5×S3×D5304C5xS3xD5300,37

Semidirect products G=N:Q with N=C5 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
C51(S3×D5) = S3×C5⋊D5φ: S3×D5/C5×S3C2 ⊆ Aut C575C5:1(S3xD5)300,38
C52(S3×D5) = D5×D15φ: S3×D5/C3×D5C2 ⊆ Aut C5304+C5:2(S3xD5)300,39
C53(S3×D5) = D15⋊D5φ: S3×D5/D15C2 ⊆ Aut C5304C5:3(S3xD5)300,40

Non-split extensions G=N.Q with N=C5 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
C5.(S3×D5) = S3×D25φ: S3×D5/C5×S3C2 ⊆ Aut C5754+C5.(S3xD5)300,7

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