Extensions 1→N→G→Q→1 with N=C52 and Q=C10

Direct product G=NxQ with N=C52 and Q=C10
dρLabelID
C52xC10250C5^2xC10250,15

Semidirect products G=N:Q with N=C52 and Q=C10
extensionφ:Q→Aut NdρLabelID
C52:C10 = C52:C10φ: C10/C1C10 ⊆ Aut C522510+C5^2:C10250,5
C52:2C10 = C2xHe5φ: C10/C2C5 ⊆ Aut C52505C5^2:2C10250,10
C52:3C10 = D5xC52φ: C10/C5C2 ⊆ Aut C5250C5^2:3C10250,12
C52:4C10 = C5xC5:D5φ: C10/C5C2 ⊆ Aut C5250C5^2:4C10250,13

Non-split extensions G=N.Q with N=C52 and Q=C10
extensionφ:Q→Aut NdρLabelID
C52.C10 = C2x5- 1+2φ: C10/C2C5 ⊆ Aut C52505C5^2.C10250,11
C52.2C10 = D5xC25φ: C10/C5C2 ⊆ Aut C52502C5^2.2C10250,4

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