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

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

Semidirect products G=N:Q with N=C3⋊S3 and Q=SL2(𝔽3)
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊SL2(𝔽3) = C2×ASL2(𝔽3)φ: SL2(𝔽3)/C2 → A4 ⊆ Out C3⋊S3188+C3:S3:SL(2,3)432,735
C3⋊S3⋊2SL2(𝔽3) = Q8⋊He3⋊C2φ: SL2(𝔽3)/Q8 → C3 ⊆ Out C3⋊S37212-C3:S3:2SL(2,3)432,270


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