Extensions 1→N→G→Q→1 with N=C3 and Q=C3×SL2(𝔽3)

Direct product G=N×Q with N=C3 and Q=C3×SL2(𝔽3)
dρLabelID
C32×SL2(𝔽3)72C3^2xSL(2,3)216,134


Non-split extensions G=N.Q with N=C3 and Q=C3×SL2(𝔽3)
extensionφ:Q→Aut NdρLabelID
C3.1(C3×SL2(𝔽3)) = C9×SL2(𝔽3)central extension (φ=1)722C3.1(C3xSL(2,3))216,38
C3.2(C3×SL2(𝔽3)) = C3×Q8⋊C9central extension (φ=1)216C3.2(C3xSL(2,3))216,40
C3.3(C3×SL2(𝔽3)) = C18.A4central stem extension (φ=1)726C3.3(C3xSL(2,3))216,39
C3.4(C3×SL2(𝔽3)) = Q8⋊3- 1+2central stem extension (φ=1)726C3.4(C3xSL(2,3))216,41
C3.5(C3×SL2(𝔽3)) = Q8⋊He3central stem extension (φ=1)726C3.5(C3xSL(2,3))216,42

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