Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×S3

Direct product G=N×Q with N=Q8 and Q=C5×S3
dρLabelID
C5×S3×Q81204C5xS3xQ8240,171

Semidirect products G=N:Q with N=Q8 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
Q8⋊(C5×S3) = C5×GL2(𝔽3)φ: C5×S3/C5S3 ⊆ Out Q8402Q8:(C5xS3)240,103
Q82(C5×S3) = C5×Q82S3φ: C5×S3/C15C2 ⊆ Out Q81204Q8:2(C5xS3)240,62
Q83(C5×S3) = C5×Q83S3φ: trivial image1204Q8:3(C5xS3)240,172

Non-split extensions G=N.Q with N=Q8 and Q=C5×S3
extensionφ:Q→Out NdρLabelID
Q8.(C5×S3) = C5×CSU2(𝔽3)φ: C5×S3/C5S3 ⊆ Out Q8802Q8.(C5xS3)240,102
Q8.2(C5×S3) = C5×C3⋊Q16φ: C5×S3/C15C2 ⊆ Out Q82404Q8.2(C5xS3)240,63

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