Extensions 1→N→G→Q→1 with N=D20 and Q=C12

Direct product G=NxQ with N=D20 and Q=C12
dρLabelID
C12xD20240C12xD20480,666

Semidirect products G=N:Q with N=D20 and Q=C12
extensionφ:Q→Out NdρLabelID
D20:1C12 = C3xD20:C4φ: C12/C3C4 ⊆ Out D201208D20:1C12480,287
D20:2C12 = C3xQ8:2F5φ: C12/C3C4 ⊆ Out D201208D20:2C12480,290
D20:3C12 = C3xD4xF5φ: C12/C3C4 ⊆ Out D20608D20:3C12480,1054
D20:4C12 = C3xD20:4C4φ: C12/C6C2 ⊆ Out D201202D20:4C12480,83
D20:5C12 = C3xD20:5C4φ: C12/C6C2 ⊆ Out D20240D20:5C12480,99
D20:6C12 = C3xD20:6C4φ: C12/C6C2 ⊆ Out D20240D20:6C12480,87
D20:7C12 = C3xD20:7C4φ: C12/C6C2 ⊆ Out D201204D20:7C12480,103
D20:8C12 = C3xD20:8C4φ: C12/C6C2 ⊆ Out D20240D20:8C12480,686

Non-split extensions G=N.Q with N=D20 and Q=C12
extensionφ:Q→Out NdρLabelID
D20.C12 = C3xQ8.F5φ: C12/C3C4 ⊆ Out D202408D20.C12480,1055
D20.2C12 = C3xD20.2C4φ: C12/C6C2 ⊆ Out D202404D20.2C12480,700
D20.3C12 = C3xD20.3C4φ: trivial image2402D20.3C12480,694

׿
x
:
Z
F
o
wr
Q
<