Extensions 1→N→G→Q→1 with N=C12 and Q=C2

Direct product G=NxQ with N=C12 and Q=C2
dρLabelID
C2xC1224C2xC1224,9

Semidirect products G=N:Q with N=C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
C12:1C2 = D12φ: C2/C1C2 ⊆ Aut C12122+C12:1C224,6
C12:2C2 = C4xS3φ: C2/C1C2 ⊆ Aut C12122C12:2C224,5
C12:3C2 = C3xD4φ: C2/C1C2 ⊆ Aut C12122C12:3C224,10

Non-split extensions G=N.Q with N=C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
C12.1C2 = Dic6φ: C2/C1C2 ⊆ Aut C12242-C12.1C224,4
C12.2C2 = C3:C8φ: C2/C1C2 ⊆ Aut C12242C12.2C224,1
C12.3C2 = C3xQ8φ: C2/C1C2 ⊆ Aut C12242C12.3C224,11

׿
x
:
Z
F
o
wr
Q
<