Extensions 1→N→G→Q→1 with N=C4 and Q=C52C8

Direct product G=N×Q with N=C4 and Q=C52C8
dρLabelID
C4×C52C8160C4xC5:2C8160,9

Semidirect products G=N:Q with N=C4 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C4⋊(C52C8) = C203C8φ: C52C8/C20C2 ⊆ Aut C4160C4:(C5:2C8)160,11

Non-split extensions G=N.Q with N=C4 and Q=C52C8
extensionφ:Q→Aut NdρLabelID
C4.(C52C8) = C20.4C8φ: C52C8/C20C2 ⊆ Aut C4802C4.(C5:2C8)160,19
C4.2(C52C8) = C52C32central extension (φ=1)1602C4.2(C5:2C8)160,1
C4.3(C52C8) = C2×C52C16central extension (φ=1)160C4.3(C5:2C8)160,18

׿
×
𝔽