Extensions 1→N→G→Q→1 with N=C3 and Q=C9:D9

Direct product G=NxQ with N=C3 and Q=C9:D9
dρLabelID
C3xC9:D9162C3xC9:D9486,134

Semidirect products G=N:Q with N=C3 and Q=C9:D9
extensionφ:Q→Aut NdρLabelID
C3:(C9:D9) = C92:8S3φ: C9:D9/C92C2 ⊆ Aut C3243C3:(C9:D9)486,180

Non-split extensions G=N.Q with N=C3 and Q=C9:D9
extensionφ:Q→Aut NdρLabelID
C3.(C9:D9) = C9:D27φ: C9:D9/C92C2 ⊆ Aut C3243C3.(C9:D9)486,50
C3.2(C9:D9) = C3.2(C9:D9)central stem extension (φ=1)162C3.2(C9:D9)486,42

׿
x
:
Z
F
o
wr
Q
<