Finite Group Databasebeta

← Group #10615618

Character table — Group #10615618

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111222222222222222222222222224444444444444444444444444488888888888888888888202020202020202040404040
order1222224444558888101010101010101010101010101088202020202020202040404040404040404040404040404040444420202020202020202020202020202020224488884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-111-1-11-11-1
χ101111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11
χ111111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-111-1-1-11-11
χ121111-1-11-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11-1-1111-11-1
χ131111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11
χ141111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-11-1111-1-1-111-1
χ151111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11-11-1-1-111-111-1
χ161111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-11-1111-1-11-1-11
χ172222222222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52000000000000
χ182222222222−1+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+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ192222222222−1+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+52−1−52-2-2−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000
χ202222222222−1+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+52−1−52-2-2−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ212222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52000000000000
χ222222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ232222222222−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ242222222222−1−52−1+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+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ25222222-2-2-2-22200002222222222222200-2-2-2-2-2-2-2-20000000000000000000000000000000000002-2-2200000000
χ26222222-2-2-2-22200002222222222222200-2-2-2-2-2-2-2-2000000000000000000000000000000000000-222-200000000
χ272222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ282222-2-22-2-22−1+52−1−522222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ292222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ302222-2-22-2-22−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ312222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ322222-2-22-2-22−1−52−1+522222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ332222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222−1−52−1+521+521+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+52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ342222-2-22-2-22−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222−1−52−1+521+521+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+52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ352222-2-2-222-22200002222-2-2-2-2-2-2-2-22200-2-22222-2-200000000000000000000000000000000000022-2-200000000
χ362222-2-2-222-22200002222-2-2-2-2-2-2-2-22200-2-22222-2-2000000000000000000000000000000000000-2-22200000000
χ3722-2-22-222-2-2220000-2-2-2-222-2-222-2-22200222-22-2-2-200000000000000000000000000000000000000002i−2i2i−2i0000
χ3822-2-22-222-2-2220000-2-2-2-222-2-222-2-22200222-22-2-2-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ3922-2-22-2-2-2222222-2-2-2-2-2-222-2-222-2-2222-2-2-2-22-222222-2-222-2-222-2-222-2-200000000000000000000000000000000
χ4022-2-22-2-2-22222-2-222-2-2-2-222-2-222-2-222-22-2-2-22-2222-2-222-2-222-2-222-2-22200000000000000000000000000000000
χ4122-2-22-2-2-222−1+52−1−5222-2-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−522-21−521+521−52−1+521+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ4222-2-22-2-2-222−1+52−1−5222-2-21−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−522-21−521+521−52−1+521+52−1−52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ4322-2-22-2-2-222−1+52−1−52-2-2221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-221−521+521−52−1+521+52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ4422-2-22-2-2-222−1+52−1−52-2-2221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−52-221−521+521−52−1+521+52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ4522-2-22-2-2-222−1−52−1+5222-2-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+522-21+521−521+52−1−521−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ4622-2-22-2-2-222−1−52−1+5222-2-21+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+522-21+521−521+52−1−521−52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ4722-2-22-2-2-222−1−52−1+52-2-2221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-221+521−521+52−1−521−52−1+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+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ4822-2-22-2-2-222−1−52−1+52-2-2221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52-221+521−521+52−1−521−52−1+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+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ4922-2-2-222-22-2220000-2-2-2-2-2-222-2-222220022-22-22-2-200000000000000000000000000000000000000002i−2i−2i2i0000
χ5022-2-2-222-22-2220000-2-2-2-2-2-222-2-222220022-22-22-2-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ5122-2-2-22-22-222222-2-2-2-2-2-2-2-222-2-22222-22-2-22-22-22222-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ5222-2-2-22-22-2222-2-222-2-2-2-2-2-222-2-222222-2-2-22-22-222-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ5322-2-2-22-22-22−1+52−1−5222-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-221−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ5422-2-2-22-22-22−1+52−1−5222-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−52-221−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ5522-2-2-22-22-22−1+52−1−52-2-2221−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−522-21−521+52−1+521−52−1−521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
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χ874-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ281+51−50000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000
χ884-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+51−50000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−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

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