Extensions 1→N→G→Q→1 with N=C76 and Q=S3

Direct product G=NxQ with N=C76 and Q=S3
dρLabelID
S3xC762282S3xC76456,30

Semidirect products G=N:Q with N=C76 and Q=S3
extensionφ:Q→Aut NdρLabelID
C76:1S3 = D228φ: S3/C3C2 ⊆ Aut C762282+C76:1S3456,36
C76:2S3 = C4xD57φ: S3/C3C2 ⊆ Aut C762282C76:2S3456,35
C76:3S3 = C19xD12φ: S3/C3C2 ⊆ Aut C762282C76:3S3456,31

Non-split extensions G=N.Q with N=C76 and Q=S3
extensionφ:Q→Aut NdρLabelID
C76.1S3 = Dic114φ: S3/C3C2 ⊆ Aut C764562-C76.1S3456,34
C76.2S3 = C57:C8φ: S3/C3C2 ⊆ Aut C764562C76.2S3456,5
C76.3S3 = C19xDic6φ: S3/C3C2 ⊆ Aut C764562C76.3S3456,29
C76.4S3 = C19xC3:C8central extension (φ=1)4562C76.4S3456,3

׿
x
:
Z
F
o
wr
Q
<