Extensions 1→N→G→Q→1 with N=Dic12 and Q=C2

Direct product G=NxQ with N=Dic12 and Q=C2
dρLabelID
C2xDic1296C2xDic1296,112

Semidirect products G=N:Q with N=Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic12:1C2 = C48:C2φ: C2/C1C2 ⊆ Out Dic12482Dic12:1C296,7
Dic12:2C2 = C8.D6φ: C2/C1C2 ⊆ Out Dic12484-Dic12:2C296,116
Dic12:3C2 = D8.S3φ: C2/C1C2 ⊆ Out Dic12484-Dic12:3C296,34
Dic12:4C2 = D8:3S3φ: C2/C1C2 ⊆ Out Dic12484-Dic12:4C296,119
Dic12:5C2 = S3xQ16φ: C2/C1C2 ⊆ Out Dic12484-Dic12:5C296,124
Dic12:6C2 = D4.D6φ: C2/C1C2 ⊆ Out Dic12484-Dic12:6C296,122
Dic12:7C2 = C4oD24φ: trivial image482Dic12:7C296,111

Non-split extensions G=N.Q with N=Dic12 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic12.1C2 = Dic24φ: C2/C1C2 ⊆ Out Dic12962-Dic12.1C296,8
Dic12.2C2 = C3:Q32φ: C2/C1C2 ⊆ Out Dic12964-Dic12.2C296,36

׿
x
:
Z
F
o
wr
Q
<