Extensions 1→N→G→Q→1 with N=C5xC25 and Q=C22

Direct product G=NxQ with N=C5xC25 and Q=C22
dρLabelID
C10xC50500C10xC50500,34

Semidirect products G=N:Q with N=C5xC25 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C5xC25):C22 = D5xD25φ: C22/C1C22 ⊆ Aut C5xC25504+(C5xC25):C2^2500,26
(C5xC25):2C22 = D5xC50φ: C22/C2C2 ⊆ Aut C5xC251002(C5xC25):2C2^2500,29
(C5xC25):3C22 = C10xD25φ: C22/C2C2 ⊆ Aut C5xC251002(C5xC25):3C2^2500,28
(C5xC25):4C22 = C2xC25:D5φ: C22/C2C2 ⊆ Aut C5xC25250(C5xC25):4C2^2500,32


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