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

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

Semidirect products G=N:Q with N=C3×SL2(𝔽3) and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×SL2(𝔽3))⋊C3 = Q8⋊He3φ: C3/C1C3 ⊆ Out C3×SL2(𝔽3)726(C3xSL(2,3)):C3216,42

Non-split extensions G=N.Q with N=C3×SL2(𝔽3) and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×SL2(𝔽3)).C3 = C18.A4φ: C3/C1C3 ⊆ Out C3×SL2(𝔽3)726(C3xSL(2,3)).C3216,39
(C3×SL2(𝔽3)).2C3 = C9×SL2(𝔽3)φ: trivial image722(C3xSL(2,3)).2C3216,38

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