Extensions 1→N→G→Q→1 with N=C5:C8 and Q=C10

Direct product G=NxQ with N=C5:C8 and Q=C10
dρLabelID
C10xC5:C880C10xC5:C8400,139

Semidirect products G=N:Q with N=C5:C8 and Q=C10
extensionφ:Q→Out NdρLabelID
C5:C8:1C10 = C5xC4.F5φ: C10/C5C2 ⊆ Out C5:C8804C5:C8:1C10400,136
C5:C8:2C10 = C5xC22.F5φ: C10/C5C2 ⊆ Out C5:C8404C5:C8:2C10400,140
C5:C8:3C10 = C5xD5:C8φ: trivial image804C5:C8:3C10400,135


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