Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C2×C6

Direct product G=N×Q with N=SL2(𝔽3) and Q=C2×C6

Semidirect products G=N:Q with N=SL2(𝔽3) and Q=C2×C6
extensionφ:Q→Out NdρLabelID
SL2(𝔽3)⋊1(C2×C6) = C6×GL2(𝔽3)φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)48SL(2,3):1(C2xC6)288,900
SL2(𝔽3)⋊2(C2×C6) = C3×C4.3S4φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)484SL(2,3):2(C2xC6)288,904
SL2(𝔽3)⋊3(C2×C6) = C6×C4.A4φ: trivial image96SL(2,3):3(C2xC6)288,983
SL2(𝔽3)⋊4(C2×C6) = C3×Q8.A4φ: trivial image724SL(2,3):4(C2xC6)288,984

Non-split extensions G=N.Q with N=SL2(𝔽3) and Q=C2×C6
extensionφ:Q→Out NdρLabelID
SL2(𝔽3).1(C2×C6) = C6×CSU2(𝔽3)φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)96SL(2,3).1(C2xC6)288,899
SL2(𝔽3).2(C2×C6) = C3×Q8.D6φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)484SL(2,3).2(C2xC6)288,901
SL2(𝔽3).3(C2×C6) = C3×C4.S4φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)964SL(2,3).3(C2xC6)288,902
SL2(𝔽3).4(C2×C6) = C3×C4.6S4φ: C2×C6/C6C2 ⊆ Out SL2(𝔽3)482SL(2,3).4(C2xC6)288,903
SL2(𝔽3).5(C2×C6) = C3×D4.A4φ: trivial image484SL(2,3).5(C2xC6)288,985