Extensions 1→N→G→Q→1 with N=D32 and Q=C2

Direct product G=NxQ with N=D32 and Q=C2
dρLabelID
C2xD3264C2xD32128,991

Semidirect products G=N:Q with N=D32 and Q=C2
extensionφ:Q→Out NdρLabelID
D32:1C2 = D64φ: C2/C1C2 ⊆ Out D32642+D32:1C2128,161
D32:2C2 = C32:C22φ: C2/C1C2 ⊆ Out D32324+D32:2C2128,995
D32:3C2 = C4oD32φ: trivial image642D32:3C2128,994

Non-split extensions G=N.Q with N=D32 and Q=C2
extensionφ:Q→Out NdρLabelID
D32.C2 = SD128φ: C2/C1C2 ⊆ Out D32642D32.C2128,162

׿
x
:
Z
F
o
wr
Q
<