Extensions 1→N→G→Q→1 with N=C15 and Q=C5xS3

Direct product G=NxQ with N=C15 and Q=C5xS3
dρLabelID
S3xC5xC15150S3xC5xC15450,28

Semidirect products G=N:Q with N=C15 and Q=C5xS3
extensionφ:Q→Aut NdρLabelID
C15:1(C5xS3) = C5xC3:D15φ: C5xS3/C15C2 ⊆ Aut C1590C15:1(C5xS3)450,32
C15:2(C5xS3) = C15xD15φ: C5xS3/C15C2 ⊆ Aut C15302C15:2(C5xS3)450,29
C15:3(C5xS3) = C3:S3xC52φ: C5xS3/C15C2 ⊆ Aut C15225C15:3(C5xS3)450,31

Non-split extensions G=N.Q with N=C15 and Q=C5xS3
extensionφ:Q→Aut NdρLabelID
C15.1(C5xS3) = C5xD45φ: C5xS3/C15C2 ⊆ Aut C15902C15.1(C5xS3)450,17
C15.2(C5xS3) = D9xC25φ: C5xS3/C15C2 ⊆ Aut C152252C15.2(C5xS3)450,1
C15.3(C5xS3) = C3:S3xC25φ: C5xS3/C15C2 ⊆ Aut C15225C15.3(C5xS3)450,8
C15.4(C5xS3) = D9xC52φ: C5xS3/C15C2 ⊆ Aut C15225C15.4(C5xS3)450,16
C15.5(C5xS3) = S3xC75central extension (φ=1)1502C15.5(C5xS3)450,6

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