Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC42:C2

Direct product G=NxQ with N=C5 and Q=C2xC42:C2
dρLabelID
C10xC42:C2160C10xC4^2:C2320,1516

Semidirect products G=N:Q with N=C5 and Q=C2xC42:C2
extensionφ:Q→Aut NdρLabelID
C5:(C2xC42:C2) = C2xD10.C23φ: C2xC42:C2/C22xC4C4 ⊆ Aut C580C5:(C2xC4^2:C2)320,1592
C5:2(C2xC42:C2) = C2xC42:D5φ: C2xC42:C2/C2xC42C2 ⊆ Aut C5160C5:2(C2xC4^2:C2)320,1144
C5:3(C2xC42:C2) = C2xC23.11D10φ: C2xC42:C2/C2xC22:C4C2 ⊆ Aut C5160C5:3(C2xC4^2:C2)320,1152
C5:4(C2xC42:C2) = C2xC4:C4:7D5φ: C2xC42:C2/C2xC4:C4C2 ⊆ Aut C5160C5:4(C2xC4^2:C2)320,1174
C5:5(C2xC42:C2) = D5xC42:C2φ: C2xC42:C2/C42:C2C2 ⊆ Aut C580C5:5(C2xC4^2:C2)320,1192
C5:6(C2xC42:C2) = C2xC23.21D10φ: C2xC42:C2/C23xC4C2 ⊆ Aut C5160C5:6(C2xC4^2:C2)320,1458


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