Finite Group Databasebeta

← Group #10589826

Character table — Group #10589826

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222222222444444444444444444444444444444888888888888888818181818363636363636
order1222344666999181818181818181818444444121212121212363636363636363636363636363636363636121212123636363636363636363636362244224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ911111-1-11111111111111111-11-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1111-1-1-111-1-11-11-11-1
χ1011111-1-11111111111111111-11-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1111-1-1-1-1-111-11-11-11
χ1111111-1-11111111111111111-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-111111-1-1-111-1-11
χ1211111-1-11111111111111111-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111-1-1-1111-1-1111-1-111-1
χ1311111-1-1111111111111111-111-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111-1-11-1-11-11
χ1411111-1-1111111111111111-111-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1-111-111-11-1
χ1511111-1-1111111111111111-11-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-11-111-1
χ1611111-1-1111111111111111-11-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-11-1-11
χ172222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ182222222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000
χ192222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-222111111111111-1-1-1-1-1-122-2-2-1-1-1-1-1-11111110000000000
χ202222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222111111111111-1-1-1-1-1-1-2-222111111-1-1-1-1-1-10000000000
χ2122222-2-2222-1-1-1-1-1-1-1-1-1-1-1-12-22-22-222-2-2-2-2-1-1-1-1-1-11111111111112-22-2-1-1-1111-1-1-11110000000000
χ2222222-2-2222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2222-2-2-2-2-1-1-1-1-1-1111111111111-22-22111-1-1-1111-1-1-10000000000
χ2322222-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-222-2-22-2-222-2-2111111-1-1-1-1-1-11111112-2-22-1-1-1111111-1-1-10000000000
χ2422222-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-22-222-2-2-222-2-2111111-1-1-1-1-1-1111111-222-2111-1-1-1-1-1-11110000000000
χ252222-122-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5222222-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ262222-122-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ522-2-2-2-2-1-1-1-1-1-1ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ51111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ272222-122-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-222-2-21111-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5-1-111ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ282222-122-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-2-2-2-2221111-1-1−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ511-1-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ292222-122-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8222222-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ302222-122-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ822-2-2-2-2-1-1-1-1-1-1ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ81111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ312222-122-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-222-2-21111-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8-1-111ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ322222-122-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-2-2-2-2221111-1-1−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ811-1-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ332222-122-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7222222-1-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ342222-122-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ722-2-2-2-2-1-1-1-1-1-1ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ71111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ352222-122-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-222-2-21111-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7-1-111ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ362222-122-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-2-2-2-2221111-1-1−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ711-1-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ372222-1-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-22-22-2-1-11111ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-11-11ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ382222-1-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ52-2-22-22-1-11111ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ51-11-1−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ392222-1-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-222-2-2211-1-111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5-111-1ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ50000000000
χ402222-1-2-2-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5-22-222-211-1-111−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ51-1-11−ζ−ζ8−ζ2−ζ7−ζ4−ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ50000000000
χ412222-1-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-22-22-2-1-11111ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-11-11ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ422222-1-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ82-2-22-22-1-11111ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ81-11-1−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ432222-1-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-222-2-2211-1-111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8-111-1ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ80000000000
χ442222-1-2-2-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8-22-222-211-1-111−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ81-1-11−ζ2−ζ7−ζ4−ζ5−ζ−ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ80000000000
χ452222-1-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-22-22-2-1-11111ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-11-11ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ462222-1-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ72-2-22-22-1-11111ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ71-11-1−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ472222-1-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-222-2-2211-1-111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7-111-1ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ70000000000
χ482222-1-2-2-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7-22-222-211-1-111−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ71-1-11−ζ4−ζ5−ζ−ζ8−ζ2−ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ70000000000
χ492-2-2222-2-2-22222-2-2-2-2-2-222200000000002-20000000000002-22-22-200000000000000002-22-2000000
χ502-2-2222-2-2-22222-2-2-2-2-2-222200000000002-20000000000002-22-22-20000000000000000-22-22000000
χ512-2-222-22-2-22222-2-2-2-2-2-22220000000000-22000000000000-22-22-2200000000000000002-2-22000000
χ522-2-222-22-2-22222-2-2-2-2-2-22220000000000-22000000000000-22-22-220000000000000000-222-2000000
χ5344-4-44004-4-44444-44-44-4-4-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-44004-4-4-2-2-2-22-22-222220000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000
χ5544-4-44004-4-4-2-2-2-22-22-22222000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000
χ5644-4-4-200-2222ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ50000002i3−2i300002ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ500000000000000000000000000000000000000
χ5744-4-4-200-2222ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5000000−2i32i30000−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ500000000000000000000000000000000000000
χ5844-4-4-200-2222ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ80000002i3−2i30000−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ800000000000000000000000000000000000000
χ5944-4-4-200-2222ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8000000−2i32i300002ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ800000000000000000000000000000000000000
χ6044-4-4-200-2222ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ70000002i3−2i300002ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ700000000000000000000000000000000000000
χ6144-4-4-200-2222ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7000000−2i32i30000−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ700000000000000000000000000000000000000
χ624-44-4400-44-4444-44-44-44-4-4-400000000000000000000000000000000000000000000000000000000
χ634-44-4400-44-4-2-2-22-22-22-22220000000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000
χ644-44-4400-44-4-2-2-22-22-22-2222000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000
χ654-44-4-2002-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ5000000002i3−2i3000000002ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ500000000000000000000000000000000
χ664-44-4-2002-222ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ8−2ζ2−2ζ7−2ζ4−2ζ500000000−2i32i300000000−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ500000000000000000000000000000000
χ674-44-4-2002-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ8000000002i3−2i300000000−2ζ2+2ζ72ζ2−2ζ72ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ800000000000000000000000000000000
χ684-44-4-2002-222ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ7−2ζ4−2ζ5−2ζ−2ζ800000000−2i32i3000000002ζ2−2ζ7−2ζ2+2ζ7−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ800000000000000000000000000000000
χ694-44-4-2002-222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ7000000002i3−2i3000000002ζ4−2ζ5−2ζ4+2ζ52ζ−2ζ8−2ζ+2ζ8−2ζ2+2ζ72ζ2−2ζ700000000000000000000000000000000
χ704-44-4-2002-222ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ5−2ζ−2ζ8−2ζ2−2ζ700000000−2i32i300000000−2ζ4+2ζ52ζ4−2ζ5−2ζ+2ζ82ζ−2ζ82ζ2−2ζ7−2ζ2+2ζ700000000000000000000000000000000
χ714-4-4444-4-4-44-2-2-2222222-2-2-200000000004-4000000000000-22-22-2200000000000000000000000000
χ724-4-444-44-4-44-2-2-2222222-2-2-20000000000-440000000000002-22-22-200000000000000000000000000
χ734-4-44-24-422-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ4−2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ50000000000-220000000000002ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ500000000000000000000000000
χ744-4-44-24-422-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ−2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ80000000000-220000000000002ζ2+2ζ7−2ζ2−2ζ72ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ800000000000000000000000000
χ754-4-44-24-422-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ70000000000-220000000000002ζ4+2ζ5−2ζ4−2ζ52ζ+2ζ8−2ζ−2ζ82ζ2+2ζ7−2ζ2−2ζ700000000000000000000000000
χ764-4-44-2-4422-22ζ+2ζ82ζ2+2ζ72ζ4+2ζ5−2ζ−2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ4−2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ500000000002-2000000000000−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ500000000000000000000000000
χ774-4-44-2-4422-22ζ2+2ζ72ζ4+2ζ52ζ+2ζ8−2ζ2−2ζ7−2ζ2−2ζ7−2ζ4−2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ−2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ800000000002-2000000000000−2ζ2−2ζ72ζ2+2ζ7−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ800000000000000000000000000
χ784-4-44-2-4422-22ζ4+2ζ52ζ+2ζ82ζ2+2ζ7−2ζ4−2ζ5−2ζ4−2ζ5−2ζ−2ζ8−2ζ−2ζ8−2ζ2−2ζ7−2ζ2−2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ700000000002-2000000000000−2ζ4−2ζ52ζ4+2ζ5−2ζ−2ζ82ζ+2ζ8−2ζ2−2ζ72ζ2+2ζ700000000000000000000000000

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