Extensions 1→N→G→Q→1 with N=C10 and Q=C8

Direct product G=N×Q with N=C10 and Q=C8
dρLabelID
C2×C4080C2xC4080,23

Semidirect products G=N:Q with N=C10 and Q=C8
extensionφ:Q→Aut NdρLabelID
C10⋊C8 = C2×C5⋊C8φ: C8/C2C4 ⊆ Aut C1080C10:C880,32
C102C8 = C2×C52C8φ: C8/C4C2 ⊆ Aut C1080C10:2C880,9

Non-split extensions G=N.Q with N=C10 and Q=C8
extensionφ:Q→Aut NdρLabelID
C10.C8 = C5⋊C16φ: C8/C2C4 ⊆ Aut C10804C10.C880,3
C10.2C8 = C52C16φ: C8/C4C2 ⊆ Aut C10802C10.2C880,1

׿
×
𝔽