Extensions 1→N→G→Q→1 with N=C2xSL2(F3) and Q=C2

Direct product G=NxQ with N=C2xSL2(F3) and Q=C2
dρLabelID
C22xSL2(F3)32C2^2xSL(2,3)96,198

Semidirect products G=N:Q with N=C2xSL2(F3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xSL2(F3)):1C2 = D4.A4φ: C2/C1C2 ⊆ Out C2xSL2(F3)164-(C2xSL(2,3)):1C296,202
(C2xSL2(F3)):2C2 = C2xGL2(F3)φ: C2/C1C2 ⊆ Out C2xSL2(F3)16(C2xSL(2,3)):2C296,189
(C2xSL2(F3)):3C2 = Q8.D6φ: C2/C1C2 ⊆ Out C2xSL2(F3)164-(C2xSL(2,3)):3C296,190
(C2xSL2(F3)):4C2 = C2xC4.A4φ: trivial image32(C2xSL(2,3)):4C296,200

Non-split extensions G=N.Q with N=C2xSL2(F3) and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xSL2(F3)).1C2 = Q8:Dic3φ: C2/C1C2 ⊆ Out C2xSL2(F3)32(C2xSL(2,3)).1C296,66
(C2xSL2(F3)).2C2 = C2xCSU2(F3)φ: C2/C1C2 ⊆ Out C2xSL2(F3)32(C2xSL(2,3)).2C296,188
(C2xSL2(F3)).3C2 = C4xSL2(F3)φ: trivial image32(C2xSL(2,3)).3C296,69

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