Extensions 1→N→G→Q→1 with N=C3 and Q=C6xD4

Direct product G=NxQ with N=C3 and Q=C6xD4
dρLabelID
D4xC3xC672D4xC3xC6144,179

Semidirect products G=N:Q with N=C3 and Q=C6xD4
extensionφ:Q→Aut NdρLabelID
C3:1(C6xD4) = C6xD12φ: C6xD4/C2xC12C2 ⊆ Aut C348C3:1(C6xD4)144,160
C3:2(C6xD4) = C3xS3xD4φ: C6xD4/C3xD4C2 ⊆ Aut C3244C3:2(C6xD4)144,162
C3:3(C6xD4) = C6xC3:D4φ: C6xD4/C22xC6C2 ⊆ Aut C324C3:3(C6xD4)144,167

Non-split extensions G=N.Q with N=C3 and Q=C6xD4
extensionφ:Q→Aut NdρLabelID
C3.(C6xD4) = D4xC18central extension (φ=1)72C3.(C6xD4)144,48

׿
x
:
Z
F
o
wr
Q
<