Extensions 1→N→G→Q→1 with N=C10 and Q=C28

Direct product G=N×Q with N=C10 and Q=C28
dρLabelID
C2×C140280C2xC140280,29

Semidirect products G=N:Q with N=C10 and Q=C28
extensionφ:Q→Aut NdρLabelID
C10⋊C28 = C14×F5φ: C28/C7 → C4 ⊆ Aut C10704C10:C28280,34
C10⋊2C28 = C14×Dic5φ: C28/C14 → C2 ⊆ Aut C10280C10:2C28280,22

Non-split extensions G=N.Q with N=C10 and Q=C28
extensionφ:Q→Aut NdρLabelID
C10.C28 = C7×C5⋊C8φ: C28/C7 → C4 ⊆ Aut C102804C10.C28280,5
C10.2C28 = C7×C5⋊2C8φ: C28/C14 → C2 ⊆ Aut C102802C10.2C28280,1

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁