Finite Group Databasebeta

← Group #12086923

Character table — Group #12086923

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020202020204040404080808080
order1222224444551010101010104444101010102020202020202020202020202020202024448888202020204040404040404040404040404040404024101010101010202020202020202020208888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ91111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11
χ101111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1
χ111111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-111-1
χ121111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-11111111-1-1-11-1-11
χ131111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-11-1-1-11-11
χ141111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1111-11-1
χ151111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-111-1-11111-11-1-11-11-1
χ161111-1-1111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-111-11-11
χ172222222222−1+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+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+520000000000000000
χ192222222222−1+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+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ202222222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+52−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+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+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ222222222222−1−52−1+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+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−520000000000000000
χ232222222222−1−52−1+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+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−520000000000000000
χ242222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−52−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1−52−1+52−1+520000000000000000
χ252222222-22-2222222222-2-2-222222-2-22-2-22222-2-2-2-2222-2-220000-2-2-2-2000000000000000000220000-2-2-2-22200000000000000000000
χ262222222-22-2222222222-2-2-222222-2-22-2-22222-2-2-2-222-222-20000-2-2-2-2000000000000000000-2-200002222-2-200000000000000000000
χ272222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2-2200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ282222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2-2200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ292222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-222-200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ302222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52-222-200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ312222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ322222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+522-2-2200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ332222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-222-200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ342222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52-222-200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ35222222-22-2222222222-22-2-22222-222-222-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000000000000000000000000022220000-2-2000000
χ36222222-22-2222222222-22-2-22222-222-222-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000000000000000000000000000-2-2-2-2000022000000
χ37222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-22222-2-200000000-2-222000000000000000000000000000000000000002i2i−2i−2i002i−2i0000
χ38222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-22222-2-200000000-2-22200000000000000000000000000000000000000−2i−2i2i2i00−2i2i0000
χ392222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-222-2-21−521+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+522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+521−521−521+521+520000000000000000
χ402222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-2-2-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−520000000000000000
χ412222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-22222-2-21−521+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+52-221−521+521−521−521+521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000
χ422222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-222-2-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+520000000000000000
χ432222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+5222-2-222-2-21+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+521−521−521−521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−521+521+521−521−520000000000000000
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χ894-44-40040-4044-44-44-4-40000000040040000000000-4-40000000000000000000000000000000000000000000000000022−2222−2200000000
χ904-44-40040-4044-44-44-4-40000000040040000000000-4-400000000000000000000000000000000000000000000000000−2222−222200000000
χ914-44-400-404044-44-44-4-400000000-400-4000000000044000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ924-44-400-404044-44-44-4-400000000-400-400000000004400000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ934-4-444-4000044-4-4-4-44400004-44-40000000000000000000000000000000000000000000000000000000000000022−2222−22000000000000
χ944-4-444-4000044-4-4-4-44400004-44-400000000000000000000000000000000000000000000000000000000000000−2222−2222000000000000
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χ964-4-44-44000044-4-4-4-4440000-44-4400000000000000000000000000000000000000000000000000000000000000−222222−22000000000000
χ978-88-80080-80−2+25−2−252−25−2+252+25−2−252−252+2500000000−2+2500−2−2500000000002−252+2500000000000000000000000000000000000000000000000000000000000000
χ988-88-80080-80−2−25−2+252+25−2−252−25−2+252+252−2500000000−2−2500−2+2500000000002+252−2500000000000000000000000000000000000000000000000000000000000000
χ998-88-800-8080−2+25−2−252−25−2+252+25−2−252−252+25000000002−25002+250000000000−2+25−2−2500000000000000000000000000000000000000000000000000000000000000
χ1008-88-800-8080−2−25−2+252+25−2−252−25−2+252+252−25000000002+25002−250000000000−2−25−2+2500000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-80000−2+25−2−252−252−252+252+25−2+25−2−250000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-80000−2−25−2+252+252+252−252−25−2−25−2+250000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-880000−2+25−2−252−252−252+252+25−2+25−2−2500002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-880000−2−25−2+252+252+252−252−25−2−25−2+2500002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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