Finite Group Databasebeta

← Group #13164660

Character table — Group #13164660

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111111666666666666666161616161616161616161616222222121212121212121212121212121212323232323232323232323232333333181818181818181818181818181818484848484848484848484848
order12336622244666666121212129999991818181818183633666661212666666121212129999991818181818182266662224466666612121212181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ811−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ811−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8
χ511−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ511−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ511−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5
χ611−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ211−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ211−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2
χ711−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ711−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ711−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7
χ811−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ411−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ411−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ2ζ8ζζ7ζ4
χ911−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ11−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ5ζ2ζ7ζ4ζ
χ103333333-1-1-1-13-1-13-1-1-1-1-1-10000000000003333333-1-1-1-13-1-13-1-1-1-1-1-10000000000003333333-1-1-1-13-1-13-1-1-1-1-1-1000000000000
χ11333333-13-1-1-1-13-1-13-1-1-1-1-1000000000000333333-13-1-1-1-13-1-13-1-1-1-1-1000000000000333333-13-1-1-1-13-1-13-1-1-1-1-1000000000000
χ12333333-1-13-1-1-1-13-1-13-1-1-1-1000000000000333333-1-13-1-1-1-13-1-13-1-1-1-1000000000000333333-1-13-1-1-1-13-1-13-1-1-1-1000000000000
χ13333333-1-1-13-1-1-1-1-1-1-13-13-1000000000000333333-1-1-13-1-1-1-1-1-1-13-13-1000000000000333333-1-1-13-1-1-1-1-1-1-13-13-1000000000000
χ14333333-1-1-1-13-1-1-1-1-1-1-13-13000000000000333333-1-1-1-13-1-1-1-1-1-1-13-13000000000000333333-1-1-1-13-1-1-1-1-1-1-13-13000000000000
χ1533−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i32−3−3i321+i321+i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i32−3−3i321+i321+i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i323-1-1-1-1−3+3i321−i321−i32−3−3i321+i321+i321−i321−i321+i321+i32000000000000
χ1633−3+3i32−3−3i32−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321+i32−3−3i321+i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321+i32−3−3i321+i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-13-1-1-11−i32−3+3i321−i321+i32−3−3i321+i321−i321−i321+i321+i32000000000000
χ1733−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321+i321+i32−3−3i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321+i321+i32−3−3i321−i321−i321+i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-13-1-11−i321−i32−3+3i321+i321+i32−3−3i321−i321−i321+i321+i32000000000000
χ1833−3+3i32−3−3i32−3+3i32−3−3i32-1-1-13-11−i321−i321−i321+i321+i321+i32−3+3i321−i32−3−3i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-1-13-11−i321−i321−i321+i321+i321+i32−3+3i321−i32−3−3i321+i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-1-13-11−i321−i321−i321+i321+i321+i32−3+3i321−i32−3−3i321+i32000000000000
χ1933−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321−i321−i321+i321+i321+i321−i32−3+3i321+i32−3−3i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321−i321−i321+i321+i321+i321−i32−3+3i321+i32−3−3i3200000000000033−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-131−i321−i321−i321+i321+i321+i321−i32−3+3i321+i32−3−3i32000000000000
χ2033−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i32−3+3i321−i321−i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i32−3+3i321−i321−i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i323-1-1-1-1−3−3i321+i321+i32−3+3i321−i321−i321+i321+i321−i321−i32000000000000
χ2133−3−3i32−3+3i32−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321−i32−3+3i321−i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321−i32−3+3i321−i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-13-1-1-11+i32−3−3i321+i321−i32−3+3i321−i321+i321+i321−i321−i32000000000000
χ2233−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321−i321−i32−3+3i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321−i321−i32−3+3i321+i321+i321−i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-13-1-11+i321+i32−3−3i321−i321−i32−3+3i321+i321+i321−i321−i32000000000000
χ2333−3−3i32−3+3i32−3−3i32−3+3i32-1-1-13-11+i321+i321+i321−i321−i321−i32−3−3i321+i32−3+3i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-1-13-11+i321+i321+i321−i321−i321−i32−3−3i321+i32−3+3i321−i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-1-13-11+i321+i321+i321−i321−i321−i32−3−3i321+i32−3+3i321−i32000000000000
χ2433−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321+i321+i321−i321−i321−i321+i32−3−3i321−i32−3+3i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321+i321+i321−i321−i321−i321+i32−3−3i321−i32−3+3i3200000000000033−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-131+i321+i321+i321−i321−i321−i321+i32−3−3i321−i32−3+3i32000000000000
χ254-444-4-4000000000000000111111-1-1-1-1-1-14-444-4-4000000000000000111111-1-1-1-1-1-14-444-4-4000000000000000111111-1-1-1-1-1-1
χ264-444-4-4000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i324-444-4-4000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i324-444-4-4000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ274-444-4-4000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i324-444-4-4000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i324-444-4-4000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ284-4−2+2i3−2−2i32−2i32+2i3000000000000000ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ84-4−2+2i3−2−2i32−2i32+2i3000000000000000ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ84-4−2+2i3−2−2i32−2i32+2i3000000000000000ζζ4ζ7ζ2ζ5ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ294-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ54-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ54-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ4ζ7ζζ8ζ2ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ304-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ24-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ24-4−2+2i3−2−2i32−2i32+2i3000000000000000ζ7ζζ4ζ5ζ8ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ314-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ74-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ74-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ2ζ8ζ5ζ4ζζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ324-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ44-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ44-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ5ζ2ζ8ζζ7ζ4−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ334-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ4-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ4-4−2−2i3−2+2i32+2i32−2i3000000000000000ζ8ζ5ζ2ζ7ζ4ζ−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ35111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32
χ36111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32
χ3711−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ811−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζ4ζ7ζ2ζ5ζ8-1-11−i321+i321−i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ3811−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ511−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ7ζζ8ζ2ζ5-1-11−i321+i321−i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ3911−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ211−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζζ4ζ5ζ8ζ2-1-11−i321+i321−i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ4011−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ711−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ8ζ5ζ4ζζ7-1-11+i321−i321+i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321−i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
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χ433333333-1-1-1-13-1-13-1-1-1-1-1-10000000000003333333-1-1-1-13-1-13-1-1-1-1-1-1000000000000-3-3-3-3-3-3-31111-311-3111111000000000000
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χ8766−3−3i3−3+3i3−3−3i3−3+3i3-26-2-2-21+i3−3−3i31+i31−i3−3+3i31−i31+i31+i31−i31−i3000000000000-3-33+3i323−3i323+3i323−3i321-3111−1−i323+3i32−1−i32−1+i323−3i32−1+i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000000000000
χ8866−3−3i3−3+3i3−3−3i3−3+3i3-2-26-2-21+i31+i3−3−3i31−i31−i3−3+3i31+i31+i31−i31−i3000000000000-3-33+3i323−3i323+3i323−3i3211-311−1−i32−1−i323+3i32−1+i32−1+i323−3i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000000000000
χ8966−3−3i3−3+3i3−3−3i3−3+3i3-2-2-26-21+i31+i31+i31−i31−i31−i3−3−3i31+i3−3+3i31−i3000000000000-3-33+3i323−3i323+3i323−3i32111-31−1−i32−1−i32−1−i32−1+i32−1+i32−1+i323+3i32−1−i323−3i32−1+i32000000000000000000000000000000000000000000000
χ9066−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-261+i31+i31+i31−i31−i31−i31+i3−3−3i31−i3−3+3i3000000000000-3-33+3i323−3i323+3i323−3i321111-3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i323+3i32−1+i323−3i32000000000000000000000000000000000000000000000
χ918-888-8-8000000000000000222222-2-2-2-2-2-2-44-4-444000000000000000-1-1-1-1-1-1111111000000000000000000000000000000000
χ928-888-8-8000000000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3-44-4-4440000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000000
χ938-888-8-8000000000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3-44-4-4440000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ948-8−4+4i3−4−4i34−4i34+4i30000000000000002ζ2ζ42ζ72ζ22ζ52ζ8−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ8-442−2i32+2i3−2+2i3−2−2i3000000000000000−ζ−ζ4−ζ7−ζ2−ζ5−ζ8ζζ4ζ7ζ2ζ5ζ8000000000000000000000000000000000
χ958-8−4+4i3−4−4i34−4i34+4i30000000000000002ζ42ζ72ζ2ζ82ζ22ζ5−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ5-442−2i32+2i3−2+2i3−2−2i3000000000000000−ζ4−ζ7−ζ−ζ8−ζ2−ζ5ζ4ζ7ζζ8ζ2ζ5000000000000000000000000000000000
χ968-8−4+4i3−4−4i34−4i34+4i30000000000000002ζ72ζ2ζ42ζ52ζ82ζ2−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ2-442−2i32+2i3−2+2i3−2−2i3000000000000000−ζ7−ζ−ζ4−ζ5−ζ8−ζ2ζ7ζζ4ζ5ζ8ζ2000000000000000000000000000000000
χ978-8−4−4i3−4+4i34+4i34−4i30000000000000002ζ22ζ82ζ52ζ42ζ2ζ7−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ7-442+2i32−2i3−2−2i3−2+2i3000000000000000−ζ2−ζ8−ζ5−ζ4−ζ−ζ7ζ2ζ8ζ5ζ4ζζ7000000000000000000000000000000000
χ988-8−4−4i3−4+4i34+4i34−4i30000000000000002ζ52ζ22ζ82ζ2ζ72ζ4−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ4-442+2i32−2i3−2−2i3−2+2i3000000000000000−ζ5−ζ2−ζ8−ζ−ζ7−ζ4ζ5ζ2ζ8ζζ7ζ4000000000000000000000000000000000
χ998-8−4−4i3−4+4i34+4i34−4i30000000000000002ζ82ζ52ζ22ζ72ζ42ζ−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ-442+2i32−2i3−2−2i3−2+2i3000000000000000−ζ8−ζ5−ζ2−ζ7−ζ4−ζζ8ζ5ζ2ζ7ζ4ζ000000000000000000000000000000000

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