Extensions 1→N→G→Q→1 with N=C3xC6 and Q=SL2(F3)

Direct product G=NxQ with N=C3xC6 and Q=SL2(F3)
dρLabelID
C3xC6xSL2(F3)144C3xC6xSL(2,3)432,698

Semidirect products G=N:Q with N=C3xC6 and Q=SL2(F3)
extensionφ:Q→Aut NdρLabelID
(C3xC6):SL2(F3) = C2xASL2(F3)φ: SL2(F3)/C1SL2(F3) ⊆ Aut C3xC6188+(C3xC6):SL(2,3)432,735
(C3xC6):2SL2(F3) = C2xQ8:He3φ: SL2(F3)/Q8C3 ⊆ Aut C3xC6144(C3xC6):2SL(2,3)432,336

Non-split extensions G=N.Q with N=C3xC6 and Q=SL2(F3)
extensionφ:Q→Aut NdρLabelID
(C3xC6).SL2(F3) = C2xQ8:3- 1+2φ: SL2(F3)/Q8C3 ⊆ Aut C3xC6144(C3xC6).SL(2,3)432,335
(C3xC6).2SL2(F3) = C6xQ8:C9central extension (φ=1)432(C3xC6).2SL(2,3)432,334

׿
x
:
Z
F
o
wr
Q
<