Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C4○D8

Direct product G=N×Q with N=C5 and Q=C2×C4○D8
dρLabelID
C10×C4○D8160C10xC4oD8320,1574

Semidirect products G=N:Q with N=C5 and Q=C2×C4○D8
extensionφ:Q→Aut NdρLabelID
C51(C2×C4○D8) = C2×D407C2φ: C2×C4○D8/C22×C8C2 ⊆ Aut C5160C5:1(C2xC4oD8)320,1413
C52(C2×C4○D8) = C2×D83D5φ: C2×C4○D8/C2×D8C2 ⊆ Aut C5160C5:2(C2xC4oD8)320,1428
C53(C2×C4○D8) = C2×SD163D5φ: C2×C4○D8/C2×SD16C2 ⊆ Aut C5160C5:3(C2xC4oD8)320,1433
C54(C2×C4○D8) = C2×Q8.D10φ: C2×C4○D8/C2×Q16C2 ⊆ Aut C5160C5:4(C2xC4oD8)320,1437
C55(C2×C4○D8) = D5×C4○D8φ: C2×C4○D8/C4○D8C2 ⊆ Aut C5804C5:5(C2xC4oD8)320,1439
C56(C2×C4○D8) = C2×D4.8D10φ: C2×C4○D8/C2×C4○D4C2 ⊆ Aut C5160C5:6(C2xC4oD8)320,1493


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