Finite Group Databasebeta

← Group #10618986

Character table — Group #10618986

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222224444444444444445555888888888888888888888888888888202020202020202020202020202020
order1222551010101010102222224444444444444101010101010101010101010202020202020202020202020202020202020222444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-11-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1
χ41111111111111111-1-111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ5111111111111111-11-1-1-111-1-1-11-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1111-11-1
χ6111111111111111-11-1-1-111-1-1-11-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-111-1-1-11-11
χ7111111111111111-1-11-1-1-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111111-1-11
χ8111111111111111-1-11-1-1-1-111-1-11-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-111-1
χ91111111111111-1-11111-11-1-1-1-1-11111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-11-1-1-11-1-1111
χ101111111111111-1-11111-11-1-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11-1111-111-1-1-1
χ111111111111111-1-11-1-11-1-1111-11-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-11-11-1-11111-1-11-1-1
χ121111111111111-1-11-1-11-1-1111-11-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111111-11-111-1-1-1-111-111
χ131111111111111-1-1-11-1-111-1111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111-1-1-111-1111-1-1-11-1
χ141111111111111-1-1-11-1-111-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1111-1-11-1-1-1111-11
χ151111111111111-1-1-1-11-11-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1111-11-11-1-11-1-1-1-11
χ161111111111111-1-1-1-11-11-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-11-11-111-11111-1
χ17111111111111-11-1111-11-1-11-1-11-11111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-11-1-11-1-11-1111
χ18111111111111-11-1111-11-1-11-1-11-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11-111-111-111-11-1-1-1
χ19111111111111-11-11-1-1-1111-11-1-111111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-11-1111-11-11-11-1-1
χ20111111111111-11-11-1-1-1111-11-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11111-11-1-1-11-11-11-111
χ21111111111111-11-1-11-11-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-11-11-1-11-1
χ22111111111111-11-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-11-111-11
χ23111111111111-11-1-1-111-1111-11-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-11-1-11-1111-1-11-1-1-11
χ24111111111111-11-1-1-111-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-111-11-1-1-111-1111-1
χ25111111111111-1-11111-1-1-11-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-11-11-1-11111
χ26111111111111-1-11111-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-111111-11-111-1-1-1-1
χ27111111111111-1-111-1-1-1-11-11-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1111-1-11-11-1-1-111-1-1
χ28111111111111-1-111-1-1-1-11-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-11-1111-1-111
χ29111111111111-1-11-11-111-111-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-111-1-1-11-11-1
χ30111111111111-1-11-11-111-111-1-1-11-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-1-1111-11-11
χ31111111111111-1-11-1-11111-1-11-11-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-11-1111-1-11-1-11-1-11
χ32111111111111-1-11-1-11111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111-11-1-1-111-111-111-1
χ332222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222222222222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000
χ342222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-222-2-2-2-22-2-20000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000
χ352222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222-22-2-2-222-2-2-22-20000−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000
χ362222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222-2-22-2-2-2-222-2-220000−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000
χ372222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-22222-22-2-2-2-2-220000−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000
χ382222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-22-2-22-2-2222-22-20000−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000
χ392222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-22-2-222-2222-2-20000−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000
χ402222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-22-22-22-2-22220000−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000
χ412222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2222-22-2-22-2-22-200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52000000000000000
χ422222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-22-2-2-2222-22-2-2200001−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000
χ432222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-22-22-2-2-2-2222200001−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52000000000000000
χ442222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-222-2222-22-2-200001−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52000000000000000
χ452222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-2-2-22-222-2-200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52000000000000000
χ462222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-22-22-222200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52000000000000000
χ472222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-22-222-222-2-2-2200001−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52000000000000000
χ482222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-22222-2-22-22-200001−521+521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52000000000000000
χ492222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222222222222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ502222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-222-2-2-2-22-2-20000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000
χ512222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222-22-2-2-222-2-2-22-20000−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000
χ522222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222-2-22-2-2-2-222-2-220000−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ532222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-22222-22-2-2-2-2-220000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000
χ542222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-22-2-22-2-2222-22-20000−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000
χ552222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-22-2-222-2222-2-20000−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000
χ562222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-22-22-22-2-22220000−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000
χ572222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2222-22-2-22-2-22-200001+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52000000000000000
χ582222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-22-2-2-2222-22-2-2200001+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000
χ592222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-22-22-2-2-2-2222200001+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000
χ602222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-222-2222-22-2-200001+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000
χ612222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22222-2-2-22-222-2-200001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52000000000000000
χ622222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-22-22-222200001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000
χ632222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-22-222-222-2-2-2200001+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52000000000000000
χ642222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-2-22222-2-22-22-200001+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52000000000000000
χ6544-4-4444-4-44-4-40000000000000004i4i−4i−4i000000000000000000000000000000000000000000000
χ6644-4-4444-4-44-4-4000000000000000−4i−4i4i4i000000000000000000000000000000000000000000000
χ674-44-444-44-4-44-40000000000000004i−4i4i−4i000000000000000000000000000000000000000000000
χ684-44-444-44-4-44-4000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000
χ694-4-4444-4-44-4-440000000000000004-4-44000000000000000000000000000000000000000000000
χ704-4-4444-4-44-4-44000000000000000-444-4000000000000000000000000000000000000000000000
χ7188-8-8−2+25−2−25−2+252−252−25−2−252+252+250000000000000000000000000000000000000000000000000000000000000000
χ7288-8-8−2−25−2+25−2−252+252+25−2+252−252−250000000000000000000000000000000000000000000000000000000000000000
χ738-88-8−2+25−2−252−25−2+252−252+25−2−252+250000000000000000000000000000000000000000000000000000000000000000
χ748-88-8−2−25−2+252+25−2−252+252−25−2+252−250000000000000000000000000000000000000000000000000000000000000000
χ758-8-88−2+25−2−252−252−25−2+252+252+25−2−250000000000000000000000000000000000000000000000000000000000000000
χ768-8-88−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).