Extensions 1→N→G→Q→1 with N=C6 and Q=C3xSL2(F3)

Direct product G=NxQ with N=C6 and Q=C3xSL2(F3)
dρLabelID
C3xC6xSL2(F3)144C3xC6xSL(2,3)432,698


Non-split extensions G=N.Q with N=C6 and Q=C3xSL2(F3)
extensionφ:Q→Aut NdρLabelID
C6.1(C3xSL2(F3)) = C18xSL2(F3)central extension (φ=1)144C6.1(C3xSL(2,3))432,327
C6.2(C3xSL2(F3)) = C2xC18.A4central extension (φ=1)144C6.2(C3xSL(2,3))432,328
C6.3(C3xSL2(F3)) = C6xQ8:C9central extension (φ=1)432C6.3(C3xSL(2,3))432,334
C6.4(C3xSL2(F3)) = C2xQ8:3- 1+2central extension (φ=1)144C6.4(C3xSL(2,3))432,335
C6.5(C3xSL2(F3)) = C2xQ8:He3central extension (φ=1)144C6.5(C3xSL(2,3))432,336

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