Finite Group Databasebeta

← Group #13152251

Character table — Group #13152251

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111111111333333333121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212646464646464646464646464646464646464
order1339999992661818181818184444412121212121212121212363636363636363636363636363636363636363636363636363636363636333333999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111−1+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
χ3111111111111111111111111111111111111111111111111111111111111111−1−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
χ4111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i32111111−1+i32−1+i32−1+i32
χ6111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ8111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i32111111−1−i32−1−i32−1−i32
χ101−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ811111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8
χ111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ811111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8−1+i32−1−i321−1−i321−1+i32ζ4ζ7ζζ5ζ8ζ2ζ7ζζ4ζ8ζ2ζ5
χ121−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ81−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ811111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζζζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8−1−i321−1+i32−1+i32−1−i321ζ7ζζ4ζ8ζ2ζ5ζ4ζ7ζζ5ζ8ζ2
χ131−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ511111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζζζζζζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5
χ141−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ511111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζζζζζζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5−1+i32−1−i321−1−i321−1+i32ζ7ζζ4ζ2ζ5ζ8ζζ4ζ7ζ5ζ8ζ2
χ151−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ51−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ511111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ4ζ4ζ7ζ7ζ7ζ7ζ7ζζζζζζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2ζ5ζ5ζ5ζ5ζ5−1−i321−1+i32−1+i32−1−i321ζζ4ζ7ζ5ζ8ζ2ζ7ζζ4ζ2ζ5ζ8
χ161−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζζζζζζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2
χ171−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζζζζζζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2−1+i32−1−i321−1−i321−1+i32ζζ4ζ7ζ8ζ2ζ5ζ4ζ7ζζ2ζ5ζ8
χ181−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ21−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζ7ζ7ζζζζζζ4ζ4ζ4ζ4ζ4ζ5ζ5ζ5ζ5ζ5ζ8ζ8ζ8ζ8ζ8ζ2ζ2ζ2ζ2ζ2−1−i321−1+i32−1+i32−1−i321ζ4ζ7ζζ2ζ5ζ8ζζ4ζ7ζ8ζ2ζ5
χ191−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ711111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζζζζζζ7ζ7ζ7ζ7ζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7
χ201−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ711111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζζζζζζ7ζ7ζ7ζ7ζ7−1+i321−1−i32−1−i32−1+i321ζ5ζ2ζ8ζ7ζ4ζζ8ζ5ζ2ζζ7ζ4
χ211−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ71−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ711111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ4ζ4ζ4ζ4ζ4ζζζζζζ7ζ7ζ7ζ7ζ7−1−i32−1+i321−1+i321−1−i32ζ8ζ5ζ2ζζ7ζ4ζ5ζ2ζ8ζ7ζ4ζ
χ221−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ411111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζζζζζζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4
χ231−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ411111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζζζζζζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4−1+i321−1−i32−1−i32−1+i321ζ8ζ5ζ2ζ4ζζ7ζ2ζ8ζ5ζ7ζ4ζ
χ241−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ41−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ411111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ8ζ8ζ8ζ8ζ8ζζζζζζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4−1−i32−1+i321−1+i321−1−i32ζ2ζ8ζ5ζ7ζ4ζζ8ζ5ζ2ζ4ζζ7
χ251−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζζζζζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ
χ261−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζζζζζ−1+i321−1−i32−1−i32−1+i321ζ2ζ8ζ5ζζ7ζ4ζ5ζ2ζ8ζ4ζζ7
χ271−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ1−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ8ζ8ζ5ζ5ζ5ζ5ζ5ζ2ζ2ζ2ζ2ζ2ζ7ζ7ζ7ζ7ζ7ζ4ζ4ζ4ζ4ζ4ζζζζζ−1−i32−1+i321−1+i321−1−i32ζ5ζ2ζ8ζ4ζζ7ζ2ζ8ζ5ζζ7ζ4
χ283333333333333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-1000000000000000000
χ29333333333333333333-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1000000000000000000
χ30333333333333333333-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1000000000000000000
χ31333333333333333333-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1000000000000000000
χ32333333333333333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13000000000000000000
χ33333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323-1-1-1-13-1-1-1-13-1-1-1-1−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32000000000000000000
χ34333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-13-1-1-1-13-1-1-1-13-1-1-11−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i32000000000000000000
χ35333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-13-1-1-1-13-1-1-1-13-1-11−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i32000000000000000000
χ36333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-13-1-1-1-13-1-1-1-13-11−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i32000000000000000000
χ37333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-13-1-1-1-13-1-1-1-131−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i32000000000000000000
χ38333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323-1-1-1-13-1-1-1-13-1-1-1-1−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32000000000000000000
χ39333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-13-1-1-1-13-1-1-1-13-1-1-11+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i32000000000000000000
χ40333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-13-1-1-1-13-1-1-1-13-1-11+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i32000000000000000000
χ41333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-13-1-1-1-13-1-1-1-13-11+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i32000000000000000000
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χ713−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ3−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ-1-1-13-11+i321+i321+i32−3−3i321+i321−i321−i321−i32−3+3i321−i32−ζ8−ζ8−ζ83ζ8−ζ8−ζ5−ζ5−ζ53ζ5−ζ5−ζ2−ζ2−ζ23ζ2−ζ2−ζ7−ζ7−ζ73ζ7−ζ7−ζ4−ζ4−ζ43ζ4−ζ4−ζ−ζ−ζ3ζ−ζ000000000000000000
χ723−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ3−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ-1-1-1-131+i321+i321+i321+i32−3−3i321−i321−i321−i321−i32−3+3i32−ζ8−ζ8−ζ8−ζ83ζ8−ζ5−ζ5−ζ5−ζ53ζ5−ζ2−ζ2−ζ2−ζ23ζ2−ζ7−ζ7−ζ7−ζ73ζ7−ζ4−ζ4−ζ4−ζ43ζ4−ζ−ζ−ζ−ζ3ζ000000000000000000
χ73121212121212121212-4-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ74121212−6+6i3−6+6i3−6+6i3−6−6i3−6−6i3−6−6i3-4-4-42−2i32−2i32−2i32+2i32+2i32+2i3000000000000000000000000000000000000000000000000000000000000000
χ75121212−6−6i3−6−6i3−6−6i3−6+6i3−6+6i3−6+6i3-4-4-42+2i32+2i32+2i32−2i32−2i32−2i3000000000000000000000000000000000000000000000000000000000000000
χ7612−6+6i3−6−6i312ζ12ζ412ζ712ζ212ζ512ζ8-42−2i32+2i3−4ζ−4ζ4−4ζ7−4ζ2−4ζ5−4ζ8000000000000000000000000000000000000000000000000000000000000000
χ7712−6+6i3−6−6i312ζ412ζ712ζ12ζ812ζ212ζ5-42−2i32+2i3−4ζ4−4ζ7−4ζ−4ζ8−4ζ2−4ζ5000000000000000000000000000000000000000000000000000000000000000
χ7812−6+6i3−6−6i312ζ712ζ12ζ412ζ512ζ812ζ2-42−2i32+2i3−4ζ7−4ζ−4ζ4−4ζ5−4ζ8−4ζ2000000000000000000000000000000000000000000000000000000000000000
χ7912−6−6i3−6+6i312ζ212ζ812ζ512ζ412ζ12ζ7-42+2i32−2i3−4ζ2−4ζ8−4ζ5−4ζ4−4ζ−4ζ7000000000000000000000000000000000000000000000000000000000000000
χ8012−6−6i3−6+6i312ζ512ζ212ζ812ζ12ζ712ζ4-42+2i32−2i3−4ζ5−4ζ2−4ζ8−4ζ−4ζ7−4ζ4000000000000000000000000000000000000000000000000000000000000000
χ8112−6−6i3−6+6i312ζ812ζ512ζ212ζ712ζ412ζ-42+2i32−2i3−4ζ8−4ζ5−4ζ2−4ζ7−4ζ4−4ζ000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.