Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C20

Direct product G=N×Q with N=SL2(𝔽3) and Q=C20
dρLabelID
C20×SL2(𝔽3)160C20xSL(2,3)480,655

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=C20
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊1C20 = C5×Q8⋊Dic3φ: C20/C10C2 ⊆ Out SL2(𝔽3)160SL(2,3):1C20480,256
SL2(𝔽3)⋊2C20 = C5×U2(𝔽3)φ: C20/C10C2 ⊆ Out SL2(𝔽3)1202SL(2,3):2C20480,257

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=C20
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).C20 = C5×C8.A4φ: trivial image1602SL(2,3).C20480,660

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