Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C12

Direct product G=N×Q with N=SL2(𝔽3) and Q=C12
dρLabelID
C12×SL2(𝔽3)96C12xSL(2,3)288,633

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=C12
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊1C12 = C3×Q8⋊Dic3φ: C12/C6C2 ⊆ Out SL2(𝔽3)96SL(2,3):1C12288,399
SL2(𝔽3)⋊2C12 = C3×U2(𝔽3)φ: C12/C6C2 ⊆ Out SL2(𝔽3)722SL(2,3):2C12288,400

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=C12
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).C12 = C3×C8.A4φ: trivial image962SL(2,3).C12288,638

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