Extensions 1→N→G→Q→1 with N=Q8xC12 and Q=C3

Direct product G=NxQ with N=Q8xC12 and Q=C3
dρLabelID
Q8xC3xC12288Q8xC3xC12288,816

Semidirect products G=N:Q with N=Q8xC12 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8xC12):C3 = C12xSL2(F3)φ: C3/C1C3 ⊆ Out Q8xC1296(Q8xC12):C3288,633

Non-split extensions G=N.Q with N=Q8xC12 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8xC12).C3 = C4xQ8:C9φ: C3/C1C3 ⊆ Out Q8xC12288(Q8xC12).C3288,72
(Q8xC12).2C3 = Q8xC36φ: trivial image288(Q8xC12).2C3288,169

׿
x
:
Z
F
o
wr
Q
<