Extensions 1→N→G→Q→1 with N=C5 and Q=C4×C8

Direct product G=N×Q with N=C5 and Q=C4×C8
dρLabelID
C4×C40160C4xC40160,46

Semidirect products G=N:Q with N=C5 and Q=C4×C8
extensionφ:Q→Aut NdρLabelID
C51(C4×C8) = C8×F5φ: C4×C8/C8C4 ⊆ Aut C5404C5:1(C4xC8)160,66
C52(C4×C8) = C4×C5⋊C8φ: C4×C8/C2×C4C4 ⊆ Aut C5160C5:2(C4xC8)160,75
C53(C4×C8) = C4×C52C8φ: C4×C8/C42C2 ⊆ Aut C5160C5:3(C4xC8)160,9
C54(C4×C8) = C8×Dic5φ: C4×C8/C2×C8C2 ⊆ Aut C5160C5:4(C4xC8)160,20


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