Extensions 1→N→G→Q→1 with N=GL2(F3) and Q=C4

Direct product G=NxQ with N=GL2(F3) and Q=C4
dρLabelID
C4xGL2(F3)32C4xGL(2,3)192,951

Semidirect products G=N:Q with N=GL2(F3) and Q=C4
extensionφ:Q→Out NdρLabelID
GL2(F3):1C4 = GL2(F3):C4φ: C4/C2C2 ⊆ Out GL2(F3)32GL(2,3):1C4192,953
GL2(F3):2C4 = C8.5S4φ: C4/C2C2 ⊆ Out GL2(F3)324GL(2,3):2C4192,964
GL2(F3):3C4 = CU2(F3)φ: trivial image322GL(2,3):3C4192,963


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