Extensions 1→N→G→Q→1 with N=C25 and Q=C20

Direct product G=N×Q with N=C25 and Q=C20
dρLabelID
C5×C100500C5xC100500,12

Semidirect products G=N:Q with N=C25 and Q=C20
extensionφ:Q→Aut NdρLabelID
C25⋊C20 = C25⋊C20φ: C20/C1 → C20 ⊆ Aut C252520+C25:C20500,18
C25⋊2C20 = C50.C10φ: C20/C2 → C10 ⊆ Aut C2510010-C25:2C20500,9
C25⋊3C20 = C4×5- 1+2φ: C20/C4 → C5 ⊆ Aut C251005C25:3C20500,14
C25⋊4C20 = C5×C25⋊C4φ: C20/C5 → C4 ⊆ Aut C251004C25:4C20500,16
C25⋊5C20 = C5×Dic25φ: C20/C10 → C2 ⊆ Aut C251002C25:5C20500,6


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