Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC22:C4

Direct product G=NxQ with N=C5 and Q=C2xC22:C4
dρLabelID
C10xC22:C480C10xC2^2:C4160,176

Semidirect products G=N:Q with N=C5 and Q=C2xC22:C4
extensionφ:Q→Aut NdρLabelID
C5:(C2xC22:C4) = C2xC22:F5φ: C2xC22:C4/C23C4 ⊆ Aut C540C5:(C2xC2^2:C4)160,212
C5:2(C2xC22:C4) = D5xC22:C4φ: C2xC22:C4/C22:C4C2 ⊆ Aut C540C5:2(C2xC2^2:C4)160,101
C5:3(C2xC22:C4) = C2xD10:C4φ: C2xC22:C4/C22xC4C2 ⊆ Aut C580C5:3(C2xC2^2:C4)160,148
C5:4(C2xC22:C4) = C2xC23.D5φ: C2xC22:C4/C24C2 ⊆ Aut C580C5:4(C2xC2^2:C4)160,173


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