Extensions 1→N→G→Q→1 with N=Dic27 and Q=C2

Direct product G=NxQ with N=Dic27 and Q=C2
dρLabelID
C2xDic27216C2xDic27216,7

Semidirect products G=N:Q with N=Dic27 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic27:C2 = C27:D4φ: C2/C1C2 ⊆ Out Dic271082Dic27:C2216,8
Dic27:2C2 = C4xD27φ: trivial image1082Dic27:2C2216,5

Non-split extensions G=N.Q with N=Dic27 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic27.C2 = Dic54φ: C2/C1C2 ⊆ Out Dic272162-Dic27.C2216,4

׿
x
:
Z
F
o
wr
Q
<