Extensions 1→N→G→Q→1 with N=C3 and Q=C7xDic3

Direct product G=NxQ with N=C3 and Q=C7xDic3
dρLabelID
Dic3xC21842Dic3xC21252,21

Semidirect products G=N:Q with N=C3 and Q=C7xDic3
extensionφ:Q→Aut NdρLabelID
C3:(C7xDic3) = C7xC3:Dic3φ: C7xDic3/C42C2 ⊆ Aut C3252C3:(C7xDic3)252,23

Non-split extensions G=N.Q with N=C3 and Q=C7xDic3
extensionφ:Q→Aut NdρLabelID
C3.(C7xDic3) = C7xDic9φ: C7xDic3/C42C2 ⊆ Aut C32522C3.(C7xDic3)252,3

׿
x
:
Z
F
o
wr
Q
<