Extensions 1→N→G→Q→1 with N=C5×C25 and Q=C2

Direct product G=N×Q with N=C5×C25 and Q=C2
dρLabelID
C5×C50250C5xC50250,9

Semidirect products G=N:Q with N=C5×C25 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5×C25)⋊1C2 = D5×C25φ: C2/C1C2 ⊆ Aut C5×C25502(C5xC25):1C2250,4
(C5×C25)⋊2C2 = C5×D25φ: C2/C1C2 ⊆ Aut C5×C25502(C5xC25):2C2250,3
(C5×C25)⋊3C2 = C25⋊D5φ: C2/C1C2 ⊆ Aut C5×C25125(C5xC25):3C2250,7


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