Extensions 1→N→G→Q→1 with N=C7 and Q=C2xSL2(F3)

Direct product G=NxQ with N=C7 and Q=C2xSL2(F3)
dρLabelID
C14xSL2(F3)112C14xSL(2,3)336,169

Semidirect products G=N:Q with N=C7 and Q=C2xSL2(F3)
extensionφ:Q→Aut NdρLabelID
C7:(C2xSL2(F3)) = Q8:F7φ: C2xSL2(F3)/Q8C6 ⊆ Aut C75612-C7:(C2xSL(2,3))336,135
C7:2(C2xSL2(F3)) = C2xC14.A4φ: C2xSL2(F3)/C2xQ8C3 ⊆ Aut C7112C7:2(C2xSL(2,3))336,172
C7:3(C2xSL2(F3)) = D7xSL2(F3)φ: C2xSL2(F3)/SL2(F3)C2 ⊆ Aut C7564-C7:3(C2xSL(2,3))336,132


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