Extensions 1→N→G→Q→1 with N=C52 and Q=C6

Direct product G=NxQ with N=C52 and Q=C6
dρLabelID
C5xC30150C5xC30150,13

Semidirect products G=N:Q with N=C52 and Q=C6
extensionφ:Q→Aut NdρLabelID
C52:C6 = C52:C6φ: C6/C1C6 ⊆ Aut C52156+C5^2:C6150,6
C52:2C6 = C2xC52:C3φ: C6/C2C3 ⊆ Aut C52303C5^2:2C6150,7
C52:3C6 = D5xC15φ: C6/C3C2 ⊆ Aut C52302C5^2:3C6150,8
C52:4C6 = C3xC5:D5φ: C6/C3C2 ⊆ Aut C5275C5^2:4C6150,9


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