Extensions 1→N→G→Q→1 with N=D14 and Q=C10

Direct product G=NxQ with N=D14 and Q=C10
dρLabelID
D7xC2xC10140D7xC2xC10280,37

Semidirect products G=N:Q with N=D14 and Q=C10
extensionφ:Q→Out NdρLabelID
D14:1C10 = C5xD28φ: C10/C5C2 ⊆ Out D141402D14:1C10280,16
D14:2C10 = C5xC7:D4φ: C10/C5C2 ⊆ Out D141402D14:2C10280,18

Non-split extensions G=N.Q with N=D14 and Q=C10
extensionφ:Q→Out NdρLabelID
D14.C10 = D7xC20φ: trivial image1402D14.C10280,15

׿
x
:
Z
F
o
wr
Q
<