Extensions 1→N→G→Q→1 with N=C8 and Q=D17

Direct product G=N×Q with N=C8 and Q=D17
dρLabelID
C8×D171362C8xD17272,4

Semidirect products G=N:Q with N=C8 and Q=D17
extensionφ:Q→Aut NdρLabelID
C8⋊1D17 = D136φ: D17/C17 → C2 ⊆ Aut C81362+C8:1D17272,7
C8⋊2D17 = C136⋊C2φ: D17/C17 → C2 ⊆ Aut C81362C8:2D17272,6
C8⋊3D17 = C8⋊D17φ: D17/C17 → C2 ⊆ Aut C81362C8:3D17272,5

Non-split extensions G=N.Q with N=C8 and Q=D17
extensionφ:Q→Aut NdρLabelID
C8.D17 = Dic68φ: D17/C17 → C2 ⊆ Aut C82722-C8.D17272,8
C8.2D17 = C17⋊4C16central extension (φ=1)2722C8.2D17272,1

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁