Extensions 1→N→G→Q→1 with N=C23 and Q=SL2(𝔽3)

Direct product G=N×Q with N=C23 and Q=SL2(𝔽3)

Semidirect products G=N:Q with N=C23 and Q=SL2(𝔽3)
extensionφ:Q→Aut NdρLabelID
C231SL2(𝔽3) = C24.A4φ: SL2(𝔽3)/C2A4 ⊆ Aut C23246C2^3:1SL(2,3)192,195
C232SL2(𝔽3) = C24.7A4φ: SL2(𝔽3)/C2A4 ⊆ Aut C2316C2^3:2SL(2,3)192,1021
C233SL2(𝔽3) = C2×Q8⋊A4φ: SL2(𝔽3)/Q8C3 ⊆ Aut C2348C2^3:3SL(2,3)192,1506

Non-split extensions G=N.Q with N=C23 and Q=SL2(𝔽3)
extensionφ:Q→Aut NdρLabelID
C23.1SL2(𝔽3) = C23.SL2(𝔽3)φ: SL2(𝔽3)/C2A4 ⊆ Aut C23164C2^3.1SL(2,3)192,4
C23.2SL2(𝔽3) = C24.2A4φ: SL2(𝔽3)/C2A4 ⊆ Aut C23126+C2^3.2SL(2,3)192,197
C23.3SL2(𝔽3) = C24.3A4φ: SL2(𝔽3)/C2A4 ⊆ Aut C23246C2^3.3SL(2,3)192,198
C23.4SL2(𝔽3) = C2×C23.3A4φ: SL2(𝔽3)/Q8C3 ⊆ Aut C2324C2^3.4SL(2,3)192,189