Extensions 1→N→G→Q→1 with N=C5 and Q=C17⋊C4

Direct product G=N×Q with N=C5 and Q=C17⋊C4
dρLabelID
C5×C17⋊C4854C5xC17:C4340,5

Semidirect products G=N:Q with N=C5 and Q=C17⋊C4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C17⋊C4) = C17⋊F5φ: C17⋊C4/C17 → C4 ⊆ Aut C5854+C5:1(C17:C4)340,9
C5⋊2(C17⋊C4) = C85⋊2C4φ: C17⋊C4/C17 → C4 ⊆ Aut C5854+C5:2(C17:C4)340,10
C5⋊3(C17⋊C4) = C85⋊C4φ: C17⋊C4/D17 → C2 ⊆ Aut C5854C5:3(C17:C4)340,6


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁