Extensions 1→N→G→Q→1 with N=C2xSL2(F3) and Q=D5

Direct product G=NxQ with N=C2xSL2(F3) and Q=D5
dρLabelID
C2xD5xSL2(F3)80C2xD5xSL(2,3)480,1039

Semidirect products G=N:Q with N=C2xSL2(F3) and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xSL2(F3)):1D5 = SL2(F3).11D10φ: D5/C5C2 ⊆ Out C2xSL2(F3)804(C2xSL(2,3)):1D5480,1040
(C2xSL2(F3)):2D5 = C2xQ8:D15φ: D5/C5C2 ⊆ Out C2xSL2(F3)80(C2xSL(2,3)):2D5480,1028
(C2xSL2(F3)):3D5 = Q8.D30φ: D5/C5C2 ⊆ Out C2xSL2(F3)804(C2xSL(2,3)):3D5480,1029
(C2xSL2(F3)):4D5 = C2xDic5.A4φ: trivial image160(C2xSL(2,3)):4D5480,1038

Non-split extensions G=N.Q with N=C2xSL2(F3) and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xSL2(F3)).1D5 = Q8:Dic15φ: D5/C5C2 ⊆ Out C2xSL2(F3)160(C2xSL(2,3)).1D5480,260
(C2xSL2(F3)).2D5 = C2xQ8.D15φ: D5/C5C2 ⊆ Out C2xSL2(F3)160(C2xSL(2,3)).2D5480,1027
(C2xSL2(F3)).3D5 = Dic5xSL2(F3)φ: trivial image160(C2xSL(2,3)).3D5480,266

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