Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=C18

Direct product G=NxQ with N=SL2(F3) and Q=C18
dρLabelID
C18xSL2(F3)144C18xSL(2,3)432,327

Semidirect products G=N:Q with N=SL2(F3) and Q=C18
extensionφ:Q→Out NdρLabelID
SL2(F3):C18 = C9xGL2(F3)φ: C18/C9C2 ⊆ Out SL2(F3)722SL(2,3):C18432,241
SL2(F3):2C18 = C9xC4.A4φ: trivial image1442SL(2,3):2C18432,329

Non-split extensions G=N.Q with N=SL2(F3) and Q=C18
extensionφ:Q→Out NdρLabelID
SL2(F3).C18 = C9xCSU2(F3)φ: C18/C9C2 ⊆ Out SL2(F3)1442SL(2,3).C18432,240

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