Extensions 1→N→G→Q→1 with N=C5 and Q=C23.32C23

Direct product G=NxQ with N=C5 and Q=C23.32C23
dρLabelID
C5xC23.32C23160C5xC2^3.32C2^3320,1521

Semidirect products G=N:Q with N=C5 and Q=C23.32C23
extensionφ:Q→Aut NdρLabelID
C5:(C23.32C23) = D5.2- 1+4φ: C23.32C23/C2xQ8C4 ⊆ Aut C5808-C5:(C2^3.32C2^3)320,1600
C5:2(C23.32C23) = C42.87D10φ: C23.32C23/C42:C2C2 ⊆ Aut C5160C5:2(C2^3.32C2^3)320,1188
C5:3(C23.32C23) = C42.125D10φ: C23.32C23/C4xQ8C2 ⊆ Aut C5160C5:3(C2^3.32C2^3)320,1244
C5:4(C23.32C23) = C10.422- 1+4φ: C23.32C23/C22xQ8C2 ⊆ Aut C5160C5:4(C2^3.32C2^3)320,1484


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