Extensions 1→N→G→Q→1 with N=C10 and Q=C20

Direct product G=N×Q with N=C10 and Q=C20
dρLabelID
C10×C20200C10xC20200,37

Semidirect products G=N:Q with N=C10 and Q=C20
extensionφ:Q→Aut NdρLabelID
C10⋊C20 = C10×F5φ: C20/C5C4 ⊆ Aut C10404C10:C20200,45
C102C20 = C10×Dic5φ: C20/C10C2 ⊆ Aut C1040C10:2C20200,30

Non-split extensions G=N.Q with N=C10 and Q=C20
extensionφ:Q→Aut NdρLabelID
C10.C20 = C5×C5⋊C8φ: C20/C5C4 ⊆ Aut C10404C10.C20200,18
C10.2C20 = C5×C52C8φ: C20/C10C2 ⊆ Aut C10402C10.2C20200,15

׿
×
𝔽