Extensions 1→N→G→Q→1 with N=GL2(F3) and Q=C2

Direct product G=NxQ with N=GL2(F3) and Q=C2
dρLabelID
C2xGL2(F3)16C2xGL(2,3)96,189

Semidirect products G=N:Q with N=GL2(F3) and Q=C2
extensionφ:Q→Out NdρLabelID
GL2(F3):1C2 = Q8.D6φ: C2/C1C2 ⊆ Out GL2(F3)164-GL(2,3):1C296,190
GL2(F3):2C2 = C4.3S4φ: C2/C1C2 ⊆ Out GL2(F3)164+GL(2,3):2C296,193
GL2(F3):3C2 = C4.6S4φ: trivial image162GL(2,3):3C296,192


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