Extensions 1→N→G→Q→1 with N=C52 and Q=C2xQ8

Direct product G=NxQ with N=C52 and Q=C2xQ8
dρLabelID
Q8xC5xC10400Q8xC5xC10400,203

Semidirect products G=N:Q with N=C52 and Q=C2xQ8
extensionφ:Q→Aut NdρLabelID
C52:(C2xQ8) = C2xC52:Q8φ: C2xQ8/C2Q8 ⊆ Aut C52208+C5^2:(C2xQ8)400,212
C52:2(C2xQ8) = D5xDic10φ: C2xQ8/C4C22 ⊆ Aut C52804-C5^2:2(C2xQ8)400,163
C52:3(C2xQ8) = Dic10:D5φ: C2xQ8/C4C22 ⊆ Aut C52404C5^2:3(C2xQ8)400,166
C52:4(C2xQ8) = C2xC52:2Q8φ: C2xQ8/C22C22 ⊆ Aut C5280C5^2:4(C2xQ8)400,178
C52:5(C2xQ8) = C10xDic10φ: C2xQ8/C2xC4C2 ⊆ Aut C5280C5^2:5(C2xQ8)400,181
C52:6(C2xQ8) = C2xC52:4Q8φ: C2xQ8/C2xC4C2 ⊆ Aut C52400C5^2:6(C2xQ8)400,191
C52:7(C2xQ8) = C5xQ8xD5φ: C2xQ8/Q8C2 ⊆ Aut C52804C5^2:7(C2xQ8)400,187
C52:8(C2xQ8) = Q8xC5:D5φ: C2xQ8/Q8C2 ⊆ Aut C52200C5^2:8(C2xQ8)400,197


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