Finite Group Databasebeta

← Group #12147230

Character table — Group #12147230

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222244444444444444444444888888888888888888888888888888888888161616161616161616161616161616202020204040404040404040404040404040
order1222224444551010101010102244444410101010202020202020202044441010101020202020202020202020202020202020202020202020202020202020288101010104040404040404040888822244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1111-1-1-1
χ41111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1111
χ511111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-11111-1-1-111-1-1-11-1-1111
χ611111111111111111111-1-1-1-111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-111-1-1-1
χ711111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1
χ811111111111111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-111111
χ9111111111111111111-1-11111-1-1111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-111111111-1-11-1-11-1-11111-1-1
χ10111111111111111111-1-11111-1-1111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-1-111
χ11111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111
χ12111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111-1-11-1-11-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-111-111-1111-1-1
χ172222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ202222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ232222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ262222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+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+52−1+52−1+52-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ282222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+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+521−521−521−521−521+521+521+521+521−521−521−521−522-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ312222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ332222-2-22-2-22222222220022-2-200-2-2-2-22-22-22-22-20000000022220000-2-2-2-20000000000000000000000000000000002200200-200000-200
χ342222-2-22-2-22222222220022-2-200-2-2-2-22-22-22-22-20000000022220000-2-2-2-2000000000000000000000000000000000-2-200-200200000200
χ352222-2-22-2-222222222200-2-22200-2-2-2-22-22-22-22-200000000-2-2-2-2000022220000000000000000000000000000000002200-200200000-200
χ362222-2-22-2-222222222200-2-22200-2-2-2-22-22-22-22-200000000-2-2-2-200002222000000000000000000000000000000000-2-200200-200000200
χ372222-2-2-222-222222222220000-2-2-2-2-2-2-22-22-22-22000022220000-2-2-2-2000000000000000000000000000000000002200000-22000-200000
χ382222-2-2-222-222222222220000-2-2-2-2-2-2-22-22-22-22000022220000-2-2-2-200000000000000000000000000000000000-2-2000002-2000200000
χ392222-2-2-222-222222222-2-2000022-2-2-2-2-22-22-22-220000-2-2-2-2000022220000000000000000000000000000000000022000002-2000-200000
χ402222-2-2-222-222222222-2-2000022-2-2-2-2-22-22-22-220000-2-2-2-20000222200000000000000000000000000000000000-2-200000-22000200000
χ412-2-222-22-22-222-2-222-2-22-22i−2i2i−2i2-222-2-22-22-2-22-222i−2i002-22-22i−2i2i−2i2-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ422-2-222-22-22-222-2-222-2-22-2−2i2i−2i2i2-222-2-22-22-2-22-22−2i2i002-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ432-2-222-22-22-222-2-222-2-2-222i−2i2i−2i-2222-2-22-22-2-22-22−2i2i00-22-222i−2i2i−2i-22-222i−2i2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ442-2-222-22-22-222-2-222-2-2-22−2i2i−2i2i-2222-2-22-22-2-22-222i−2i00-22-22−2i2i−2i2i-22-22−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ452-2-222-22-22-2−1+52−1−521−521+52−1+52−1−521−521+522-22i−2i2i−2i2-2−1+52−1−521−521+52−1+521−52−1−521+521−52−1+521+52−1−522i−2i00−1+521−52−1−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−1+521−52−1−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ462-2-222-22-22-2−1+52−1−521−521+52−1+52−1−521−521+522-22i−2i2i−2i2-2−1+52−1−521−521+52−1+521−52−1−521+521−52−1+521+52−1−522i−2i00−1+521−52−1−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−1+521−52−1−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ472-2-222-22-22-2−1+52−1−521−521+52−1+52−1−521−521+522-2−2i2i−2i2i2-2−1+52−1−521−521+52−1+521−52−1−521+521−52−1+521+52−1−52−2i2i00−1+521−52−1−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14−1+521−52−1−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
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χ10088-8-8000000−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000−4i4i0000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000
χ10188-8-8000000−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000004i−4i000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000
χ10288-8-8000000−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000−4i4i0000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000
χ1038-88-800000088-8-8-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8000000−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000000
χ1058-88-8000000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000000
χ1068-88-8000000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000
χ1078-88-8000000−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000000

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