Finite Group Databasebeta

← Group #12076392

Character table — Group #12076392

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222244444444444444444444444444888888888888888888888816161616161616161616161616161616161616162020202020202020404040404040404040404040
order1222224444444455101010101010224444101010102020202020202020202020202020202024101010101010101020202020202020202020202024881010101020202020404040404040404088888888222444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111
χ71111111111111111111111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-1-1-1-1
χ81111111111111111111111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-11111
χ91111-1-11-1-1-1-11111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111-1-11-1-1-1-11111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111-1-11-1-1-1-11111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ121111-1-11-1-1-1-11111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ131111-1-11-1-1-1-111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11-1-111
χ141111-1-11-1-1-1-111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-111-1-1
χ151111-1-11-1-1-1-111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-111-1-1-111
χ161111-1-11-1-1-1-111111111111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1
χ1722222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−5200000000000000000000
χ1822222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ1922222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−521−521−521+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+5200000000000000000000
χ2022222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1+52−1−52−1+52−1−521−521−521+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+52−1−52−1−5200000000000000000000
χ2122222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+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+5200000000000000000000
χ2222222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ2322222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+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+521−521−5200000000000000000000
χ2422222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+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+5200000000000000000000
χ25222222222-2-2-2-222222222200-200-22222222222-2-222-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000002-2-20020000
χ26222222222-2-2-2-222222222200-200-22222222222-2-222-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000-22200-20000
χ27222222-2-2-222-2-2-22222222200-20022222-2-2-2-2-2-222-2-222-2-2-2-20000000000-2-2220000000000000000000000000000000000002-20002-200000
χ28222222-2-2-222-2-2-22222222200-20022222-2-2-2-2-2-222-2-222-2-2-2-20000000000-2-222000000000000000000000000000000000000-22000-2200000
χ29222222-2-2-2-2-222-222222222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222-22222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ30222222-2-2-2-2-222-222222222-2-2222-22222-2-2-2-2-2-2-2-2-2-2-2-22222-22-2-2-2-2-2-2-2-222-2-2222222220000000000000000000000000000000000000000
χ31222222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+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−ζ3600000000000000000000
χ32222222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+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+ζ3600000000000000000000
χ33222222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+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+ζ3600000000000000000000
χ34222222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-221−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+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−ζ3600000000000000000000
χ35222222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521+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−ζ2800000000000000000000
χ36222222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521+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+ζ2800000000000000000000
χ37222222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+ζ2800000000000000000000
χ38222222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-221+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+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−ζ2800000000000000000000
χ392222-2-22-2-222-2-222222222200200-2-2-2-2-22222-2-222-2-222-2-2-2-2000000000022-2-2000000000000000000000000000000000000002-2200-20000
χ402222-2-22-2-222-2-222222222200200-2-2-2-2-22222-2-222-2-222-2-2-2-2000000000022-2-200000000000000000000000000000000000000-22-20020000
χ412222-2-22-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+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+5200000000000000000000
χ422222-2-22-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ432222-2-22-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+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+52−1−52−1−5200000000000000000000
χ442222-2-22-2-2-2-2222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+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+5200000000000000000000
χ452222-2-22-2-2-2-2222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-221+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+52-22−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+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+521−521−5200000000000000000000
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χ1038-88-8008000000-8−2+25−2−252−252+25−2+252−25−2−252+250000000000−2+252−25−2−252+2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8008000000-8−2−25−2+252+252−25−2−252+25−2+252−250000000000−2−252+25−2+252−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-80000008−2+25−2−252−252+25−2+252−25−2−252+2500000000002−25−2+252+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-80000008−2−25−2+252+252−25−2−252+25−2+252−2500000000002+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-800000000−2+25−2−252−252+252−25−2+252+25−2−25000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-800000000−2−25−2+252+252−252+25−2−252−25−2+25000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-8800000000−2+25−2−252−252+252−25−2+252+25−2−250000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-8800000000−2−25−2+252+252−252+25−2−252−25−2+250000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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