Extensions 1→N→G→Q→1 with N=C2xF5 and Q=C4

Direct product G=NxQ with N=C2xF5 and Q=C4
dρLabelID
C2xC4xF540C2xC4xF5160,203

Semidirect products G=N:Q with N=C2xF5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xF5):C4 = D10.3Q8φ: C4/C2C2 ⊆ Out C2xF540(C2xF5):C4160,81

Non-split extensions G=N.Q with N=C2xF5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xF5).C4 = C8:F5φ: C4/C2C2 ⊆ Out C2xF5404(C2xF5).C4160,67
(C2xF5).2C4 = C8xF5φ: trivial image404(C2xF5).2C4160,66

׿
x
:
Z
F
o
wr
Q
<