Extensions 1→N→G→Q→1 with N=C5xC3:S3 and Q=C2

Direct product G=NxQ with N=C5xC3:S3 and Q=C2
dρLabelID
C10xC3:S390C10xC3:S3180,35

Semidirect products G=N:Q with N=C5xC3:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC3:S3):1C2 = D5xC3:S3φ: C2/C1C2 ⊆ Out C5xC3:S345(C5xC3:S3):1C2180,27
(C5xC3:S3):2C2 = D15:S3φ: C2/C1C2 ⊆ Out C5xC3:S3304(C5xC3:S3):2C2180,30
(C5xC3:S3):3C2 = C5xS32φ: C2/C1C2 ⊆ Out C5xC3:S3304(C5xC3:S3):3C2180,28

Non-split extensions G=N.Q with N=C5xC3:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xC3:S3).1C2 = C5xC32:C4φ: C2/C1C2 ⊆ Out C5xC3:S3304(C5xC3:S3).1C2180,23
(C5xC3:S3).2C2 = C32:Dic5φ: C2/C1C2 ⊆ Out C5xC3:S3304(C5xC3:S3).2C2180,24

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