Extensions 1→N→G→Q→1 with N=Dic5 and Q=D9

Direct product G=NxQ with N=Dic5 and Q=D9
dρLabelID
D9xDic51804-D9xDic5360,8

Semidirect products G=N:Q with N=Dic5 and Q=D9
extensionφ:Q→Out NdρLabelID
Dic5:D9 = C5:D36φ: D9/C9C2 ⊆ Out Dic51804+Dic5:D9360,10
Dic5:2D9 = D90.C2φ: trivial image1804+Dic5:2D9360,9

Non-split extensions G=N.Q with N=Dic5 and Q=D9
extensionφ:Q→Out NdρLabelID
Dic5.1D9 = C45:Q8φ: D9/C9C2 ⊆ Out Dic53604-Dic5.1D9360,7
Dic5.2D9 = C45:C8φ: D9/C9C2 ⊆ Out Dic53604Dic5.2D9360,6

׿
x
:
Z
F
o
wr
Q
<