Finite Group Databasebeta

← Group #11721692

Character table — Group #11721692

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size11112222223333333344444444666666666666666612121212121212121212121212121212121212121212181818181818181818181818363636363636
order124423461212336612121212246661212123336666612121212121212126666666666612121212121212121212128888242424242424242424661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-11-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111-1-11-1-11-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i321+i321−i32
χ71111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ81111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32
χ91111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ101111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i321−i321+i32
χ111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ121111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ1311-1-1-1111-1-11111-1-1-1-11-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1-1111111-1-1111-1-1-1-1-1-111-1-111-1-111-1-11-111-1-1
χ1411-1-1-1111-1-11111-1-1-1-11-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1-1111111-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111
χ1511-1-1-1111-1-11111-1-1-1-1-11-1-1-1111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-1-11-1-111
χ1611-1-1-1111-1-11111-1-1-1-1-11-1-1-1111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-111-1-1111-111-1-1
χ1711-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1811-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1111-1-11−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ1911-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1-11111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ2011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1-11111−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i32−1+i321+i321−i32
χ2111-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ2211-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1111-1-11−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ2311-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1-11111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ2411-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1-11111−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i32−1−i321−i321+i32
χ2522222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000000000000000000
χ26222222222222222222-2-22-2-22-2-2-1-1-122-1-1-1-1-1-1-1-1-122-2-2-1-1-1111111-2-2-1-1-1111111000000000000000000
χ272222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322222222-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ282222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-22-2-22-2-2-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ292222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322222222-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ302222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-22-2-22-2-2-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ312222-22-22222222222200-200-200222-2-2222222222-2-200-2-2-200000000-2-2-2000000000000000000000000
χ322222-22-22222222222200-200-200-1-1-1-2-2-1-1-1-1-1-1-1-1-1-2-200111−i3i3−i3i3−i3i300111−i3i3−i3i3−i3i3000000000000000000
χ332222-22-22222222222200-200-200-1-1-1-2-2-1-1-1-1-1-1-1-1-1-2-200111i3−i3i3−i3i3−i300111i3−i3i3−i3i3−i3000000000000000000
χ342222-22-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-200-2002−1−i3−1+i31+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i300-21+i31−i300000000-21+i31−i3000000000000000000000000
χ352222-22-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-200-200-11+i321−i321+i31−i3-11+i321−i32-1-11+i321+i321−i321−i321+i31−i3001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000000000000
χ362222-22-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300-200-200-11+i321−i321+i31−i3-11+i321−i32-1-11+i321+i321−i321−i321+i31−i3001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000000000000
χ372222-22-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-200-2002−1+i3−1−i31−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i300-21−i31+i300000000-21−i31+i3000000000000000000000000
χ382222-22-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-200-200-11−i321+i321−i31+i3-11−i321+i32-1-11−i321−i321+i321+i321−i31+i3001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000000000000
χ392222-22-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300-200-200-11−i321+i321−i31+i3-11−i321+i32-1-11−i321−i321+i321+i321−i31+i3001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000000000000
χ4022-2-222-22-2-22222-2-2-2-200200-20022222222-2-2-2-2-2-2-2-20022200000000-2-2-2000000000000000000000000
χ4122-2-222-22-2-22222-2-2-2-200200-200-1-1-122-1-1-1111111-2-200-1-1-1−i3i3−i3i3−i3i300111i3−i3i3−i3i3−i3000000000000000000
χ4222-2-222-22-2-22222-2-2-2-200200-200-1-1-122-1-1-1111111-2-200-1-1-1i3−i3i3−i3i3−i300111−i3i3−i3i3−i3i3000000000000000000
χ4322-2-222-22-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300200-2002−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i31+i31−i3002−1−i3−1+i300000000-21+i31−i3000000000000000000000000
χ4422-2-222-22-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300200-200-11+i321−i32−1−i3−1+i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i300-11+i321−i32−i3i3−3+i323−i323+i32−3−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000000000000
χ4522-2-222-22-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300200-200-11+i321−i32−1−i3−1+i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i300-11+i321−i32i3−i33−i32−3+i32−3−i323+i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000000000000
χ4622-2-222-22-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300200-2002−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i31−i31+i3002−1+i3−1−i300000000-21−i31+i3000000000000000000000000
χ4722-2-222-22-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300200-200-11−i321+i32−1+i3−1−i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i300-11−i321+i32−i3i33+i32−3−i32−3+i323−i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000000000000
χ4822-2-222-22-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300200-200-11−i321+i32−1+i3−1−i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i300-11−i321+i32i3−i3−3−i323+i323−i32−3+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000000000000
χ4922-2-2-2222-2-22222-2-2-2-22-2-2222-2-2-1-1-1-2-2-1-1-11111112222111-1-1-1-1-1-1-2-2-1-1-1111111000000000000000000
χ5022-2-2-2222-2-22222-2-2-2-2-22-2-2-2222-1-1-1-2-2-1-1-111111122-2-211111111122-1-1-1-1-1-1-1-1-1000000000000000000
χ5122-2-2-2222-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2-2222-2-2-11+i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3−1−i3−1+i31−1−i32−1+i32-1-11+i321+i321−i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
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χ582-22i−2i020-22i−2i−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ14000000002−1−i3−1+i300-21+i31−i32i−2i2ζ22−2ζ222ζ14−2ζ14000000000000000000000000−22i2−i2ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23000000
χ592-22i−2i020-22i−2i−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22000000002−1+i3−1−i300-21−i31+i32i−2i2ζ14−2ζ142ζ22−2ζ220000000000000000000000002−2−i2i2ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000
χ602-22i−2i020-22i−2i−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ22000000002−1+i3−1−i300-21−i31+i32i−2i2ζ14−2ζ142ζ22−2ζ22000000000000000000000000−22i2−i2−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000
χ612-2−2i2i020-2−2i2i22-2-2−2i2i−2i2i0000000022200-2-2-2−2i2i−2i2i−2i2i0000000000000000000000002−2i2−i22−2i2−i22−2i2−i2000000
χ622-2−2i2i020-2−2i2i22-2-2−2i2i−2i2i0000000022200-2-2-2−2i2i−2i2i−2i2i000000000000000000000000−22−i2i2−22−i2i2−22−i2i2000000
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χ652-2−2i2i020-2−2i2i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22000000002−1+i3−1−i300-21−i31+i3−2i2i−2ζ142ζ14−2ζ222ζ220000000000000000000000002−2i2−i2ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13000000
χ662-2−2i2i020-2−2i2i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ22000000002−1+i3−1−i300-21−i31+i3−2i2i−2ζ142ζ14−2ζ222ζ22000000000000000000000000−22−i2i2−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13000000
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χ684-44i−4i040-44i−4i−2−2i3−2+2i32+2i32−2i34ζ22−4ζ224ζ14−4ζ1400000000-21+i31−i3002−1−i3−1+i3−2i2i−2ζ222ζ22−2ζ142ζ14000000000000000000000000000000000000000000
χ694-44i−4i040-44i−4i−2+2i3−2−2i32−2i32+2i34ζ14−4ζ144ζ22−4ζ2200000000-21−i31+i3002−1+i3−1−i3−2i2i−2ζ142ζ14−2ζ222ζ22000000000000000000000000000000000000000000
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χ714-4−4i4i040-4−4i4i−2−2i3−2+2i32+2i32−2i3−4ζ224ζ22−4ζ144ζ1400000000-21+i31−i3002−1−i3−1+i32i−2i2ζ22−2ζ222ζ14−2ζ14000000000000000000000000000000000000000000
χ724-4−4i4i040-4−4i4i−2+2i3−2−2i32−2i32+2i3−4ζ144ζ14−4ζ224ζ2200000000-21−i31+i3002−1+i3−1−i32i−2i2ζ14−2ζ142ζ22−2ζ22000000000000000000000000000000000000000000
χ7366666-36-3-3-30000000066-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000
χ7466666-36-3-3-300000000-6-6-333-33300000000000000000000000000000000000000000000000000000000
χ756666-6-3-6-3-3-300000000003−3i33i33−3i33i300000000000000000000000000000000000000000000000000000000
χ766666-6-3-6-3-3-3000000000033i3−3i333i3−3i300000000000000000000000000000000000000000000000000000000
χ7766-6-66-3-6-3330000000000-3−3i33i333i3−3i300000000000000000000000000000000000000000000000000000000
χ7866-6-66-3-6-3330000000000-33i3−3i33−3i33i300000000000000000000000000000000000000000000000000000000
χ7966-6-6-6-36-333000000006-63-3-3-33300000000000000000000000000000000000000000000000000000000
χ8066-6-6-6-36-33300000000-66333-3-3-300000000000000000000000000000000000000000000000000000000
χ8112-1212i−12i0-606−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8212-12−12i12i0-6066i−6i000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.