Extensions 1→N→G→Q→1 with N=D80 and Q=C2

Direct product G=NxQ with N=D80 and Q=C2
dρLabelID
C2xD80160C2xD80320,529

Semidirect products G=N:Q with N=D80 and Q=C2
extensionφ:Q→Out NdρLabelID
D80:1C2 = D160φ: C2/C1C2 ⊆ Out D801602+D80:1C2320,6
D80:2C2 = D80:C2φ: C2/C1C2 ⊆ Out D80804+D80:2C2320,535
D80:3C2 = C5:D32φ: C2/C1C2 ⊆ Out D801604+D80:3C2320,77
D80:4C2 = D5xD16φ: C2/C1C2 ⊆ Out D80804+D80:4C2320,537
D80:5C2 = D80:5C2φ: C2/C1C2 ⊆ Out D801604+D80:5C2320,546
D80:6C2 = C16:D10φ: C2/C1C2 ⊆ Out D80804+D80:6C2320,541
D80:7C2 = D80:7C2φ: trivial image1602D80:7C2320,531

Non-split extensions G=N.Q with N=D80 and Q=C2
extensionφ:Q→Out NdρLabelID
D80.1C2 = C160:C2φ: C2/C1C2 ⊆ Out D801602D80.1C2320,7
D80.2C2 = C5:SD64φ: C2/C1C2 ⊆ Out D801604+D80.2C2320,79

׿
x
:
Z
F
o
wr
Q
<