Finite Group Databasebeta

← Group #14511600

Character table — Group #14511600

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111444455555555555511114444555555555555444416161616202020202020202020202020444416161616202020202020202020202020444416161616202020202020202020202020444416161616202020202020202020202020666624242424303030303030303030303030
order1244510202088881616161616161616224410102020888816161616161616163612121530606024242424484848484848484836121215306060242424244848484848484848661212303060602424242448484848484848486612123030606024242424484848484848484844442020202088881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i
χ411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii
χ511-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-111-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ711-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-111-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ811-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-111-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ91-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26ζ11+ζ43−ζ11−ζ43−ζ31−ζ47ζ31+ζ47−ζ25−ζ41ζ25+ζ41ζ13+ζ29−ζ13−ζ29
χ101-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29
χ111-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41
χ121-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ31+ζ47−ζ31−ζ47ζ11+ζ43−ζ11−ζ43ζ13+ζ29−ζ13−ζ29ζ25+ζ41−ζ25−ζ41
χ131-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47
χ141-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ471-1−ii1-1−iiζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47
χ151-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43
χ161-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ431-1−ii1-1−ii−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43
χ174444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-10000000000004444-1-1-1-1000000000000
χ1844-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-11100000000000044-4-4-1-111000000000000
χ194-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii0000000000004-44i−4i-11−ii000000000000
χ204-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i0000000000004-4−4i4i-11i−i000000000000
χ211111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111
χ22111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32111111111111-1-1-1-1-1-1-1-1
χ2311111111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1iiii−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ44−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ28ζ28ζ28ζ28−ζ28−ζ28−ζ28−ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ44ζ44ζ44ζ44−ζ44−ζ44−ζ44−ζ4411111111-1-1-1-1iiii−i−i−i−i
χ2411111111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1−i−i−i−iiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ44−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ28−ζ28−ζ28−ζ28ζ28ζ28ζ28ζ28−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ44−ζ44−ζ44−ζ44ζ44ζ44ζ44ζ4411111111-1-1-1-1−i−i−i−iiiii
χ2511-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28−ζ46−ζ46ζ46ζ46−ζ10−ζ10ζ10ζ10−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44−ζ14−ζ14ζ14ζ14−ζ26−ζ26ζ26ζ26−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ28ζ28−ζ28−ζ28−ζ46−ζ46ζ46ζ46−ζ10−ζ10ζ10ζ10−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ44ζ44−ζ44−ζ44−ζ14−ζ14ζ14ζ14−ζ26−ζ26ζ26ζ2611-1-111-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
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χ301-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10ζ43−ζ43−ζ31ζ31−ζ25ζ25ζ13−ζ13−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26ζ11−ζ11−ζ47ζ47−ζ41ζ41ζ29−ζ29−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28−ζ46ζ46−ζ10ζ10ζ43−ζ43−ζ31ζ31−ζ25ζ25ζ13−ζ13−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44−ζ14ζ14−ζ26ζ26ζ11−ζ11−ζ47ζ47−ζ41ζ41ζ29−ζ291-1i−i1-1i−iζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ11−ζ43ζ11+ζ43ζ31+ζ47−ζ31−ζ47ζ25+ζ41−ζ25−ζ41−ζ13−ζ29ζ13+ζ29
χ311-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10ζ31−ζ31ζ43−ζ43ζ13−ζ13ζ25−ζ25−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26ζ47−ζ47ζ11−ζ11ζ29−ζ29ζ41−ζ41−1+i321−i32ζ28−ζ28−1+i321−i32ζ28−ζ28ζ46−ζ46ζ10−ζ10ζ31−ζ31ζ43−ζ43ζ13−ζ13ζ25−ζ25−1−i321+i32ζ44−ζ44−1−i321+i32ζ44−ζ44ζ14−ζ14ζ26−ζ26ζ47−ζ47ζ11−ζ11ζ29−ζ29ζ41−ζ411-1i−i1-1i−i−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41
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χ374444-1-1-1-10000000000004444-1-1-1-1000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i320000000000004444-1-1-1-1000000000000
χ3844-4-4-1-11100000000000044-4-4-1-111000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i32000000000000−2+2i3−2+2i32−2i32−2i31−i321−i32−1+i32−1+i32000000000000−2−2i3−2−2i32+2i32+2i31+i321+i32−1−i32−1−i3200000000000044-4-4-1-111000000000000
χ394-44i−4i-11−ii0000000000004-44i−4i-11−ii000000000000−2+2i32−2i34ζ28−4ζ281−i32−1+i32−ζ28ζ28000000000000−2−2i32+2i34ζ44−4ζ441+i32−1−i32−ζ44ζ44000000000000−2+2i32−2i34ζ28−4ζ281−i32−1+i32−ζ28ζ28000000000000−2−2i32+2i34ζ44−4ζ441+i32−1−i32−ζ44ζ440000000000004-44i−4i-11−ii000000000000
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χ411111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111
χ42111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32111111111111-1-1-1-1-1-1-1-1
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χ6122222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111100000000000000000000
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χ1323-33i−3i3-33i−3i−3ζ14−3ζ463ζ14+3ζ46−3ζ10−3ζ263ζ10+3ζ263ζ31+3ζ47−3ζ31−3ζ473ζ11+3ζ43−3ζ11−3ζ433ζ13+3ζ29−3ζ13−3ζ293ζ25+3ζ41−3ζ25−3ζ413-33i−3i3-33i−3i−3ζ14−3ζ463ζ14+3ζ46−3ζ10−3ζ263ζ10+3ζ263ζ31+3ζ47−3ζ31−3ζ473ζ11+3ζ43−3ζ11−3ζ433ζ13+3ζ29−3ζ13−3ζ293ζ25+3ζ41−3ζ25−3ζ4100000000000000000000000000000000000000000000000000000000000000000000000000000000-11−ii-11−iiζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ31−ζ47ζ31+ζ47−ζ11−ζ43ζ11+ζ43−ζ13−ζ29ζ13+ζ29−ζ25−ζ41ζ25+ζ41
χ1333-3−3i3i3-3−3i3i3ζ10+3ζ26−3ζ10−3ζ263ζ14+3ζ46−3ζ14−3ζ46−3ζ25−3ζ413ζ25+3ζ41−3ζ13−3ζ293ζ13+3ζ29−3ζ11−3ζ433ζ11+3ζ43−3ζ31−3ζ473ζ31+3ζ473-3−3i3i3-3−3i3i3ζ10+3ζ26−3ζ10−3ζ263ζ14+3ζ46−3ζ14−3ζ46−3ζ25−3ζ413ζ25+3ζ41−3ζ13−3ζ293ζ13+3ζ29−3ζ11−3ζ433ζ11+3ζ43−3ζ31−3ζ473ζ31+3ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000-11i−i-11i−i−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ25+ζ41−ζ25−ζ41ζ13+ζ29−ζ13−ζ29ζ11+ζ43−ζ11−ζ43ζ31+ζ47−ζ31−ζ47
χ1343-3−3i3i3-3−3i3i3ζ10+3ζ26−3ζ10−3ζ263ζ14+3ζ46−3ζ14−3ζ463ζ25+3ζ41−3ζ25−3ζ413ζ13+3ζ29−3ζ13−3ζ293ζ11+3ζ43−3ζ11−3ζ433ζ31+3ζ47−3ζ31−3ζ473-3−3i3i3-3−3i3i3ζ10+3ζ26−3ζ10−3ζ263ζ14+3ζ46−3ζ14−3ζ463ζ25+3ζ41−3ζ25−3ζ413ζ13+3ζ29−3ζ13−3ζ293ζ11+3ζ43−3ζ11−3ζ433ζ31+3ζ47−3ζ31−3ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000-11i−i-11i−i−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46−ζ25−ζ41ζ25+ζ41−ζ13−ζ29ζ13+ζ29−ζ11−ζ43ζ11+ζ43−ζ31−ζ47ζ31+ζ47
χ1353-3−3i3i3-3−3i3i−3ζ10−3ζ263ζ10+3ζ26−3ζ14−3ζ463ζ14+3ζ463ζ13+3ζ29−3ζ13−3ζ29−3ζ25−3ζ413ζ25+3ζ41−3ζ31−3ζ473ζ31+3ζ473ζ11+3ζ43−3ζ11−3ζ433-3−3i3i3-3−3i3i−3ζ10−3ζ263ζ10+3ζ26−3ζ14−3ζ463ζ14+3ζ463ζ13+3ζ29−3ζ13−3ζ29−3ζ25−3ζ413ζ25+3ζ41−3ζ31−3ζ473ζ31+3ζ473ζ11+3ζ43−3ζ11−3ζ4300000000000000000000000000000000000000000000000000000000000000000000000000000000-11i−i-11i−iζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ13−ζ29ζ13+ζ29ζ25+ζ41−ζ25−ζ41ζ31+ζ47−ζ31−ζ47−ζ11−ζ43ζ11+ζ43
χ1363-3−3i3i3-3−3i3i−3ζ10−3ζ263ζ10+3ζ26−3ζ14−3ζ463ζ14+3ζ46−3ζ13−3ζ293ζ13+3ζ293ζ25+3ζ41−3ζ25−3ζ413ζ31+3ζ47−3ζ31−3ζ47−3ζ11−3ζ433ζ11+3ζ433-3−3i3i3-3−3i3i−3ζ10−3ζ263ζ10+3ζ26−3ζ14−3ζ463ζ14+3ζ46−3ζ13−3ζ293ζ13+3ζ293ζ25+3ζ41−3ζ25−3ζ413ζ31+3ζ47−3ζ31−3ζ47−3ζ11−3ζ433ζ11+3ζ4300000000000000000000000000000000000000000000000000000000000000000000000000000000-11i−i-11i−iζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46ζ13+ζ29−ζ13−ζ29−ζ25−ζ41ζ25+ζ41−ζ31−ζ47ζ31+ζ47ζ11+ζ43−ζ11−ζ43
χ13712121212-3-3-3-300000000000012121212-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-4-4-4-41111000000000000
χ1381212-12-12-3-3330000000000001212-12-12-3-33300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-4-44411-1-1000000000000
χ13912-1212i−12i-33−3i3i00000000000012-1212i−12i-33−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-44−4i4i1-1i−i000000000000
χ14012-12−12i12i-333i−3i00000000000012-12−12i12i-333i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-444i−4i1-1−ii000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.