Extensions 1→N→G→Q→1 with N=D38 and Q=C4

Direct product G=NxQ with N=D38 and Q=C4
dρLabelID
C2xC4xD19152C2xC4xD19304,28

Semidirect products G=N:Q with N=D38 and Q=C4
extensionφ:Q→Out NdρLabelID
D38:C4 = D38:C4φ: C4/C2C2 ⊆ Out D38152D38:C4304,13

Non-split extensions G=N.Q with N=D38 and Q=C4
extensionφ:Q→Out NdρLabelID
D38.C4 = C8:D19φ: C4/C2C2 ⊆ Out D381522D38.C4304,4
D38.2C4 = C8xD19φ: trivial image1522D38.2C4304,3

׿
x
:
Z
F
o
wr
Q
<