Extensions 1→N→G→Q→1 with N=C52 and Q=C2xC8

Direct product G=NxQ with N=C52 and Q=C2xC8
dρLabelID
C10xC40400C10xC40400,111

Semidirect products G=N:Q with N=C52 and Q=C2xC8
extensionφ:Q→Aut NdρLabelID
C52:1(C2xC8) = C2xC52:C8φ: C2xC8/C2C8 ⊆ Aut C52208+C5^2:1(C2xC8)400,208
C52:2(C2xC8) = D5xC5:C8φ: C2xC8/C2C2xC4 ⊆ Aut C52808-C5^2:2(C2xC8)400,120
C52:3(C2xC8) = Dic5.4F5φ: C2xC8/C2C2xC4 ⊆ Aut C52408+C5^2:3(C2xC8)400,121
C52:4(C2xC8) = D10.2F5φ: C2xC8/C2C2xC4 ⊆ Aut C52808-C5^2:4(C2xC8)400,127
C52:5(C2xC8) = C5xD5:C8φ: C2xC8/C4C4 ⊆ Aut C52804C5^2:5(C2xC8)400,135
C52:6(C2xC8) = C20.14F5φ: C2xC8/C4C4 ⊆ Aut C52804C5^2:6(C2xC8)400,142
C52:7(C2xC8) = C20.F5φ: C2xC8/C4C4 ⊆ Aut C52200C5^2:7(C2xC8)400,149
C52:8(C2xC8) = C20.11F5φ: C2xC8/C4C4 ⊆ Aut C52404C5^2:8(C2xC8)400,156
C52:9(C2xC8) = D5xC5:2C8φ: C2xC8/C4C22 ⊆ Aut C52804C5^2:9(C2xC8)400,60
C52:10(C2xC8) = C20.29D10φ: C2xC8/C4C22 ⊆ Aut C52404C5^2:10(C2xC8)400,61
C52:11(C2xC8) = C10xC5:C8φ: C2xC8/C22C4 ⊆ Aut C5280C5^2:11(C2xC8)400,139
C52:12(C2xC8) = C2xC52:3C8φ: C2xC8/C22C4 ⊆ Aut C5280C5^2:12(C2xC8)400,146
C52:13(C2xC8) = C2xC52:4C8φ: C2xC8/C22C4 ⊆ Aut C52400C5^2:13(C2xC8)400,153
C52:14(C2xC8) = C2xC52:5C8φ: C2xC8/C22C4 ⊆ Aut C5280C5^2:14(C2xC8)400,160
C52:15(C2xC8) = D5xC40φ: C2xC8/C8C2 ⊆ Aut C52802C5^2:15(C2xC8)400,76
C52:16(C2xC8) = C8xC5:D5φ: C2xC8/C8C2 ⊆ Aut C52200C5^2:16(C2xC8)400,92
C52:17(C2xC8) = C10xC5:2C8φ: C2xC8/C2xC4C2 ⊆ Aut C5280C5^2:17(C2xC8)400,81
C52:18(C2xC8) = C2xC52:7C8φ: C2xC8/C2xC4C2 ⊆ Aut C52400C5^2:18(C2xC8)400,97


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