Extensions 1→N→G→Q→1 with N=C2xA4 and Q=C4

Direct product G=NxQ with N=C2xA4 and Q=C4
dρLabelID
C2xC4xA424C2xC4xA496,196

Semidirect products G=N:Q with N=C2xA4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xA4):C4 = C2xA4:C4φ: C4/C2C2 ⊆ Out C2xA424(C2xA4):C496,194

Non-split extensions G=N.Q with N=C2xA4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xA4).C4 = A4:C8φ: C4/C2C2 ⊆ Out C2xA4243(C2xA4).C496,65
(C2xA4).2C4 = C8xA4φ: trivial image243(C2xA4).2C496,73

׿
x
:
Z
F
o
wr
Q
<