Extensions 1→N→G→Q→1 with N=C9 and Q=C2xSL2(F3)

Direct product G=NxQ with N=C9 and Q=C2xSL2(F3)
dρLabelID
C18xSL2(F3)144C18xSL(2,3)432,327

Semidirect products G=N:Q with N=C9 and Q=C2xSL2(F3)
extensionφ:Q→Aut NdρLabelID
C9:(C2xSL2(F3)) = D18.A4φ: C2xSL2(F3)/Q8C6 ⊆ Aut C97212-C9:(C2xSL(2,3))432,263
C9:2(C2xSL2(F3)) = C2xC18.A4φ: C2xSL2(F3)/C2xQ8C3 ⊆ Aut C9144C9:2(C2xSL(2,3))432,328
C9:3(C2xSL2(F3)) = D9xSL2(F3)φ: C2xSL2(F3)/SL2(F3)C2 ⊆ Aut C9724-C9:3(C2xSL(2,3))432,264

Non-split extensions G=N.Q with N=C9 and Q=C2xSL2(F3)
extensionφ:Q→Aut NdρLabelID
C9.(C2xSL2(F3)) = C2xQ8:C27central extension (φ=1)432C9.(C2xSL(2,3))432,41

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