Finite Group Databasebeta

← Group #10601076

Character table — Group #10601076

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222444444444444444444444444444488888888888888888888202020202020202040404040
order1222222244445510101010101010101010101010108888202020202020202040404040404040404040404040404040444420202020202020202020202020202020444488884444
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
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222−1+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+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
χ10222222222222−1+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+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
χ11222222222222−1+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+52−1−52-2-2-2-2−1+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
χ12222222222222−1+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+52−1−52-2-2-2-2−1+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
χ13222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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
χ14222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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
χ15222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+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
χ16222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+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
χ1722222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-200000000
χ1822222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-22200000000
χ19222-2-22-2-2000022222-2-2222-2-2-2-2-2-222−2−2000000002222−2−2−2−22222−2−2−2−200000000000000000000002-222−2−20000
χ20222-2-22-2-2000022222-2-2222-2-2-2-2-2-222−2−2000000002222−2−2−2−22222−2−2−2−20000000000000000000000-22−2−2220000
χ21222-2-22-2-2000022222-2-2222-2-2-2-2-2-2−2−22200000000−2−2−2−22222−2−2−2−2222200000000000000000000002-2−2−2220000
χ22222-2-22-2-2000022222-2-2222-2-2-2-2-2-2−2−22200000000−2−2−2−22222−2−2−2−222220000000000000000000000-2222−2−20000
χ2322-22-2-22-20000222-2-2222-2-222-2-2-2-22−22−20000000022−2−222−2−222−2−222−2−2000000000000000000002-2002−22−20000
χ2422-22-2-22-20000222-2-2222-2-222-2-2-2-22−22−20000000022−2−222−2−222−2−222−2−200000000000000000000-2200−22−220000
χ2522-22-2-22-20000222-2-2222-2-222-2-2-2-2−22−2200000000−2−222−2−222−2−222−2−222000000000000000000002-200−22−220000
χ2622-22-2-22-20000222-2-2222-2-222-2-2-2-2−22−2200000000−2−222−2−222−2−222−2−22200000000000000000000-22002−22−20000
χ2722-2-22-2-222-22-2222-2-2-2-22-2-2-2-222222-2-222-2-22-2-22222-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ2822-2-22-2-222-22-2222-2-2-2-22-2-2-2-22222-222-22-2-22-2-222-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ2922-2-22-2-222-22-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−522-2-22−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ3022-2-22-2-222-22-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−522-2-22−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+521−521−521−521−52−1+52−1+52−1−52−1−521+521+521+521+52−1−52−1−520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ3122-2-22-2-222-22-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-222-2−1+521−521−52−1−521+521+52−1+52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ3222-2-22-2-222-22-2−1+52−1−52−1+521−521−521−521−52−1−521+521+521+521+52−1+52−1−52−1+52−1−52-222-2−1+521−521−52−1−521+521+52−1+52−1−521−521−52−1+52−1+52−1+52−1+521−521−521+521+52−1−52−1−52−1−52−1−521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ3322-2-22-2-222-22-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+522-2-22−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ3422-2-22-2-222-22-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+522-2-22−1−521+521+52−1+521−521−52−1−52−1+52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+521−521−521−521−52−1+52−1+520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ3522-2-22-2-222-22-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-222-2−1−521+521+52−1+521−521−52−1−52−1+521+521+52−1−52−1−52−1−52−1−521+521+521−521−52−1+52−1+52−1+52−1+521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ3622-2-22-2-222-22-2−1−52−1+52−1−521+521+521+521+52−1+521−521−521−521−52−1−52−1+52−1−52−1+52-222-2−1−521+521+52−1+521−521−52−1−52−1+521+521+52−1−52−1−52−1−52−1−521+521+521−521−52−1+52−1+52−1+52−1+521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ3722-2-22-2-22-22-22222-2-2-2-22-2-2-2-222220000-222-222-2-200000000000000000000000000000000000000002-2-220000
χ3822-2-22-2-22-22-22222-2-2-2-22-2-2-2-222220000-222-222-2-20000000000000000000000000000000000000000-222-20000
χ392-222-2-2-2222-2-222-22-22-2-22-22-2-2-222000022-222-2-2-200000000000000002i−2i002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ402-222-2-2-2222-2-222-22-22-2-22-22-2-2-222000022-222-2-2-20000000000000000−2i2i00−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ412-222-2-2-2222-2-2−1+52−1−521−52−1+521−52−1+521−521+52−1−521+52−1−521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ422-222-2-2-2222-2-2−1+52−1−521−52−1+521−52−1+521−521+52−1−521+52−1−521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ432-222-2-2-2222-2-2−1+52−1−521−52−1+521−52−1+521−521+52−1−521+52−1−521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ142i−2i00−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ442-222-2-2-2222-2-2−1+52−1−521−52−1+521−52−1+521−521+52−1−521+52−1−521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−2i2i00ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ452-222-2-2-2222-2-2−1−52−1+521+52−1−521+52−1−521+521−52−1+521−52−1+521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ382i−2i00−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ462-222-2-2-2222-2-2−1−52−1+521+52−1−521+52−1−521+521−52−1+521−52−1+521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−2i2i00ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ472-222-2-2-2222-2-2−1−52−1+521+52−1−521+52−1−521+521−52−1+521−52−1+521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ382i−2i00−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ482-222-2-2-2222-2-2−1−52−1+521+52−1−521+52−1−521+521−52−1+521−52−1+521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−2i2i00ζ6+ζ14−ζ6−ζ14ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ492-222-2-2-22-2-22222-22-22-2-22-22-2-2-2220000-2-22-2-2222000000000000000000000000000000000000000000002-200
χ502-222-2-2-22-2-22222-22-22-2-22-22-2-2-2220000-2-22-2-222200000000000000000000000000000000000000000000-2200
χ512-2-2-2-22222-2-2222-2-22-22-2-22-22-2-22200002-222-22-2-20000000000000000002-2000000002-2-222-2-22000000000000
χ522-2-2-2-22222-2-2222-2-22-22-2-22-22-2-22200002-222-22-2-2000000000000000000-2200000000-222-2-222-2000000000000
χ532-2-2-2-22222-2-22−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−520000−1+521−52−1+52−1−521+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14002-2ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−1+521−521−52−1+52−1−521+521+52−1−52000000000000
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χ884-4-4-4-4444-444-4−1−5−1+51+51+5−1−51+5−1−51−51−5−1+51−5−1+51+51−5−1−5−1+500001+5−1−51+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000

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