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

Direct product G=NxQ with N=C5:D5 and Q=S3
dρLabelID
S3xC5:D575S3xC5:D5300,38

Semidirect products G=N:Q with N=C5:D5 and Q=S3
extensionφ:Q→Out NdρLabelID
C5:D5:S3 = C52:D6φ: S3/C1S3 ⊆ Out C5:D5156+C5:D5:S3300,25
C5:D5:2S3 = D15:D5φ: S3/C3C2 ⊆ Out C5:D5304C5:D5:2S3300,40

Non-split extensions G=N.Q with N=C5:D5 and Q=S3
extensionφ:Q→Out NdρLabelID
C5:D5.S3 = C52:Dic3φ: S3/C1S3 ⊆ Out C5:D51512+C5:D5.S3300,23
C5:D5.2S3 = C15:F5φ: S3/C3C2 ⊆ Out C5:D575C5:D5.2S3300,34
C5:D5.3S3 = C15:2F5φ: S3/C3C2 ⊆ Out C5:D5304C5:D5.3S3300,35

׿
x
:
Z
F
o
wr
Q
<