Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C3⋊S3

Direct product G=N×Q with N=SL2(𝔽3) and Q=C3⋊S3
dρLabelID
C3⋊S3×SL2(𝔽3)72C3:S3xSL(2,3)432,626

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊(C3⋊S3) = C325GL2(𝔽3)φ: C3⋊S3/C32C2 ⊆ Out SL2(𝔽3)72SL(2,3):(C3:S3)432,620
SL2(𝔽3)⋊2(C3⋊S3) = C3⋊Dic3.2A4φ: trivial image144SL(2,3):2(C3:S3)432,625

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).(C3⋊S3) = C324CSU2(𝔽3)φ: C3⋊S3/C32C2 ⊆ Out SL2(𝔽3)144SL(2,3).(C3:S3)432,619

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