Finite Group Databasebeta

← Group #10611368

Character table — Group #10611368

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91
size111122222222222222222222222244444444444444444444444444444448888888888888888881010101020202020202040404040
order1222444455888810101010101020202020202020204444488202020202020202040404040404040404040404040404040241010101020202020202020202020202044444488882244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ61111111111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-1111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ81111111111-1-1-1-1111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91111-1-111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-111-1-11-11-1
χ101111-1-111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-11-11
χ111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-11-11
χ121111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-1111-11-1
χ131111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-1111111-1-11-1-1-1111-1-11
χ141111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-111-1
χ151111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11111-1-1-1-111-1-11-1-1-111-111-1
χ161111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-11-1-11
χ1722222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−5200000000000000
χ1822222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ1922222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ2022222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2122222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222−1−52−1−52−1+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+5222−1−52−1−52−1+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+5200000000000000
χ2222222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ2322222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2422222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ25222222-2-222000022222222222222-2000000-2-2-2-2-2-2-2-200000000000000000000000000000000002222-2-200000000
χ26222222-2-222000022222222222222-2000000-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-22200000000
χ272222-2-222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ282222-2-222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ292222-2-222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2221−521−521+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+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ302222-2-222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-222221−521−521+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+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ312222-2-222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ322222-2-222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ332222-2-222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2221+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+52−1+52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ342222-2-222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-222221+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+52−1+52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ352222-2-2-2-2220000222222-2-2-2-2-2-2-2-220000002222-2-2-2-2000000000000000000000000000000000022-2-2-2200000000
χ362222-2-2-2-2220000222222-2-2-2-2-2-2-2-220000002222-2-2-2-20000000000000000000000000000000000-2-2222-200000000
χ3722-2-22-20022i2i2−i2−i22-2-22-2-222-2-222-2-200000i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000002-22-200i2−i2i2−i20000
χ3822-2-22-20022i2i2−i2−i22-2-22-2-222-2-222-2-200000i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000-22-2200−i2i2−i2i20000
χ3922-2-22-20022−i2−i2i2i22-2-22-2-222-2-222-2-200000−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000002-22-200−i2i2−i2i20000
χ4022-2-22-20022−i2−i2i2i22-2-22-2-222-2-222-2-200000−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000-22-2200i2−i2i2−i20000
χ4122-2-2-220022i2i2−i2−i22-2-22-2-2-2-222-2-22200000−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000002-2-2200i2−i2−i2i20000
χ4222-2-2-220022i2i2−i2−i22-2-22-2-2-2-222-2-22200000−i2i200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000-222-200−i2i2i2−i20000
χ4322-2-2-220022−i2−i2i2i22-2-22-2-2-2-222-2-22200000i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000002-2-2200−i2i2i2−i20000
χ4422-2-2-220022−i2−i2i2i22-2-22-2-2-2-222-2-22200000i2−i200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000-222-200i2−i2−i2i20000
χ452-2-22002-2222-22-2-22-2-22-20000000002i−2i2i−2i0000002-22-22-22-22-22-2000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ462-2-22002-2222-22-2-22-2-22-2000000000−2i2i−2i2i0000002-22-22-22-22-22-200000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ472-2-22002-222-22-22-22-2-22-20000000002i−2i−2i2i0000002-22-2-22-22-22-22000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ482-2-22002-222-22-22-22-2-22-2000000000−2i2i2i−2i0000002-22-2-22-22-22-2200000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ492-2-22002-2−1+52−1−522-22-21−52−1+521−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1402i−2i2i−2i00−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ502-2-22002-2−1+52−1−522-22-21−52−1+521−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140−2i2i−2i2i00−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ512-2-22002-2−1+52−1−522-22-21−52−1+521−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1402i−2i2i−2i00ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1400−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ522-2-22002-2−1+52−1−522-22-21−52−1+521−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140−2i2i−2i2i00ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−1+521−52−1−521+52−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ1400ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
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χ864-44-40000−1−5−1+5−2i22i22i2−2i21+51+5−1−51−51−5−1+5−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000
χ874-4-4400-44440000-44-4-44-40000000000000000000-44-44000000000000000000000000000000000000000000000000
χ884-4-4400-44−1+5−1−500001−5−1+51−51+5−1−51+5−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ141−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ894-4-4400-44−1+5−1−500001−5−1+51−51+5−1−51+52ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ141−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ904-4-4400-44−1−5−1+500001+5−1−51+51−5−1+51−52ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ381+5−1−51−5−1+5000000000000000000000000000000000000000000000000
χ914-4-4400-44−1−5−1+500001+5−1−51+51−5−1+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ3800000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ381+5−1−51−5−1+5000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.