Extensions 1→N→G→Q→1 with N=C5 and Q=C22⋊C16

Direct product G=N×Q with N=C5 and Q=C22⋊C16
dρLabelID
C5×C22⋊C16160C5xC2^2:C16320,153

Semidirect products G=N:Q with N=C5 and Q=C22⋊C16
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22⋊C16) = D10⋊C16φ: C22⋊C16/C2×C8 → C4 ⊆ Aut C5160C5:1(C2^2:C16)320,225
C5⋊2(C22⋊C16) = C10.6M5(2)φ: C22⋊C16/C22×C4 → C4 ⊆ Aut C5160C5:2(C2^2:C16)320,249
C5⋊3(C22⋊C16) = D10⋊1C16φ: C22⋊C16/C2×C16 → C2 ⊆ Aut C5160C5:3(C2^2:C16)320,65
C5⋊4(C22⋊C16) = C40.91D4φ: C22⋊C16/C22×C8 → C2 ⊆ Aut C5160C5:4(C2^2:C16)320,107


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁