Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=C4

Direct product G=NxQ with N=SL2(F3) and Q=C4
dρLabelID
C4xSL2(F3)32C4xSL(2,3)96,69

Semidirect products G=N:Q with N=SL2(F3) and Q=C4
extensionφ:Q→Out NdρLabelID
SL2(F3):1C4 = Q8:Dic3φ: C4/C2C2 ⊆ Out SL2(F3)32SL(2,3):1C496,66
SL2(F3):2C4 = U2(F3)φ: C4/C2C2 ⊆ Out SL2(F3)242SL(2,3):2C496,67

Non-split extensions G=N.Q with N=SL2(F3) and Q=C4
extensionφ:Q→Out NdρLabelID
SL2(F3).C4 = C8.A4φ: trivial image322SL(2,3).C496,74

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