Extensions 1→N→G→Q→1 with N=D4 and Q=Dic13

Direct product G=NxQ with N=D4 and Q=Dic13
dρLabelID
D4xDic13208D4xDic13416,155

Semidirect products G=N:Q with N=D4 and Q=Dic13
extensionφ:Q→Out NdρLabelID
D4:1Dic13 = D4:Dic13φ: Dic13/C26C2 ⊆ Out D4208D4:1Dic13416,39
D4:2Dic13 = C52.56D4φ: Dic13/C26C2 ⊆ Out D41044D4:2Dic13416,44

Non-split extensions G=N.Q with N=D4 and Q=Dic13
extensionφ:Q→Out NdρLabelID
D4.Dic13 = D4.Dic13φ: trivial image2084D4.Dic13416,169

׿
x
:
Z
F
o
wr
Q
<