Finite Group Databasebeta

← Group #85183

Character table — Group #85183

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122224444444444444888888881111222244444444444448888888811112222444444444444488888888
order12224444222244444888822444488366612121212666612121212122424242466121212122424366612121212666612121212122424242466121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-111-1-1-1-11-111-1-1-1-11111111111111-1-111-1-1-1-11-111-1-1-1-11111111111111-1-111-1-1-1-11-111-1-1-1-1
χ311111111111-1-111-1-11111-1-11-11-1-1-111111111111-1-111-1-11111-1-11-11-1-1-111111111111-1-111-1-11111-1-11-11-1-1-1
χ411111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111-1-1111111-1-1-1-1-11-1-111-1-1111111111-1-1111111-1-1-1-1-11-1-111-1-1111111111-1-1111111-1-1-1-1-11-1-111-1-1
χ6111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111
χ7111111111-1-1-1-111-1-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-1-1-11-1-111-111
χ8111111111-1-1-1-1-1-1-1-1111111-11-11-1-1111111111-1-1-1-1-1-1-1-1111111-11-11-1-1111111111-1-1-1-1-1-1-1-1111111-11-11-1-1
χ91111-1-111-1111-1111-111-1-11-1-1-1-11-111111-1-111-1111-1111-111-1-11-1-1-1-11-111111-1-111-1111-1111-111-1-11-1-1-1-11-11
χ101111-1-111-1111-1-1-11-1-1-11111-1-11-11-11111-1-111-1111-1-1-11-1-1-11111-1-11-11-11111-1-111-1111-1-1-11-1-1-11111-1-11-11-1
χ111111-1-111-111-1111-1111-1-1-11-11-1-11-11111-1-111-111-1111-1111-1-1-11-11-1-11-11111-1-111-111-1111-1111-1-1-11-11-1-11-1
χ121111-1-111-111-11-1-1-11-1-111-1-1-1111-111111-1-111-111-11-1-1-11-1-111-1-1-1111-111111-1-111-111-11-1-1-11-1-111-1-1-1111-11
χ131111-1-111-1-1-11-1111-1-1-111-1-111-111-11111-1-111-1-1-11-1111-1-1-111-1-111-111-11111-1-111-1-1-11-1111-1-1-111-1-111-111-1
χ141111-1-111-1-1-11-1-1-11-111-1-1-11111-1-111111-1-111-1-1-11-1-1-11-111-1-1-11111-1-111111-1-111-1-1-11-1-1-11-111-1-1-11111-1-11
χ151111-1-111-1-1-1-1111-11-1-111111-1-1-1-111111-1-111-1-1-1-1111-11-1-111111-1-1-1-111111-1-111-1-1-1-1111-11-1-111111-1-1-1-11
χ161111-1-111-1-1-1-11-1-1-1111-1-11-11-1111-11111-1-111-1-1-1-11-1-1-1111-1-11-11-1111-11111-1-111-1-1-1-11-1-1-1111-1-11-11-1111-1
χ17222222-2-2-2002-200-22000000000000222222-2-2-2002-200-22000000000000222222-2-2-2002-200-22000000000000
χ18222222-2-2-200-22002-2000000000000222222-2-2-200-22002-2000000000000222222-2-2-200-22002-2000000000000
χ192222-2-2-2-22002200-2-20000000000002222-2-2-2-22002200-2-20000000000002222-2-2-2-22002200-2-2000000000000
χ202222-2-2-2-2200-2-200220000000000002222-2-2-2-2200-2-200220000000000002222-2-2-2-2200-2-20022000000000000
χ212-22-2002-202-2002i−2i002i−2i00000000002-22-2002-202-2002i−2i002i−2i00000000002-22-2002-202-2002i−2i002i−2i0000000000
χ222-22-2002-202-200−2i2i00−2i2i00000000002-22-2002-202-200−2i2i00−2i2i00000000002-22-2002-202-200−2i2i00−2i2i0000000000
χ232-22-2002-20-22002i−2i00−2i2i00000000002-22-2002-20-22002i−2i00−2i2i00000000002-22-2002-20-22002i−2i00−2i2i0000000000
χ242-22-2002-20-2200−2i2i002i−2i00000000002-22-2002-20-2200−2i2i002i−2i00000000002-22-2002-20-2200−2i2i002i−2i0000000000
χ2544-4-44i−4i0000000000000000000000044-4-44i−4i0000000000000000000000044-4-44i−4i00000000000000000000000
χ2644-4-4−4i4i0000000000000000000000044-4-4−4i4i0000000000000000000000044-4-4−4i4i00000000000000000000000
χ274-44-400-440000000000000000000004-44-400-440000000000000000000004-44-400-44000000000000000000000
χ284-4-4400000000000000022−22000000004-4-4400000000000000022−22000000004-4-4400000000000000022−2200000000
χ294-4-44000000000000000−2222000000004-4-44000000000000000−2222000000004-4-44000000000000000−222200000000
χ3011111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111-1-111-1-1-1-11-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3211111111111-1-111-1-11111-1-11-11-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32
χ3311111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111−1+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−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ34111111111-1-1111111-1-1-1-1-11-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ35111111111-1-111-1-1111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ36111111111-1-1-1-111-1-1-1-1-1-11-1-111-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ37111111111-1-1-1-1-1-1-1-1111111-11-11-1-1−1+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+i321−i32−1+i321−i32−1+i321−i321−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−i321+i32−1−i321+i32−1−i321+i321+i32
χ381111-1-111-1111-1111-111-1-11-1-1-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ391111-1-111-1111-1-1-11-1-1-11111-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ401111-1-111-111-1111-1111-1-1-11-11-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ411111-1-111-111-11-1-1-11-1-111-1-1-1111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ421111-1-111-1-1-11-1111-1-1-111-1-111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ431111-1-111-1-1-11-1-1-11-111-1-1-11111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ441111-1-111-1-1-1-1111-11-1-111111-1-1-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ451111-1-111-1-1-1-11-1-1-1111-1-11-11-1111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ46222222-2-2-2002-200-22000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300−1+i31−i3001−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300−1−i31+i3001+i3−1−i3000000000000
χ47222222-2-2-200-22002-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3001−i3−1+i300−1+i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3001+i3−1−i300−1−i31+i3000000000000
χ482222-2-2-2-22002200-2-2000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300−1+i3−1+i3001−i31−i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300−1−i3−1−i3001+i31+i3000000000000
χ492222-2-2-2-2200-2-20022000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3001−i31−i300−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3001+i31+i300−1−i3−1−i3000000000000
χ502-22-2002-202-2002i−2i002i−2i0000000000−1+i31−i3−1+i31−i300−1+i31−i30−1+i31−i3002ζ14−2ζ14002ζ14−2ζ140000000000−1−i31+i3−1−i31+i300−1−i31+i30−1−i31+i3002ζ22−2ζ22002ζ22−2ζ220000000000
χ512-22-2002-202-200−2i2i00−2i2i0000000000−1+i31−i3−1+i31−i300−1+i31−i30−1+i31−i300−2ζ142ζ1400−2ζ142ζ140000000000−1−i31+i3−1−i31+i300−1−i31+i30−1−i31+i300−2ζ222ζ2200−2ζ222ζ220000000000
χ522-22-2002-20-22002i−2i00−2i2i0000000000−1+i31−i3−1+i31−i300−1+i31−i301−i3−1+i3002ζ14−2ζ1400−2ζ142ζ140000000000−1−i31+i3−1−i31+i300−1−i31+i301+i3−1−i3002ζ22−2ζ2200−2ζ222ζ220000000000
χ532-22-2002-20-2200−2i2i002i−2i0000000000−1+i31−i3−1+i31−i300−1+i31−i301−i3−1+i300−2ζ142ζ14002ζ14−2ζ140000000000−1−i31+i3−1−i31+i300−1−i31+i301+i3−1−i300−2ζ222ζ22002ζ22−2ζ220000000000
χ5444-4-44i−4i00000000000000000000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400000000000000000000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200000000000000000000000
χ5544-4-4−4i4i00000000000000000000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ1400000000000000000000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ2200000000000000000000000
χ564-44-400-44000000000000000000000−2+2i32−2i3−2+2i32−2i3002−2i3−2+2i3000000000000000000000−2−2i32+2i3−2−2i32+2i3002+2i3−2−2i3000000000000000000000
χ574-4-4400000000000000022−2200000000−2+2i32−2i32−2i3−2+2i30000000000000002ζ5−2ζ23−2ζ5+2ζ2300000000−2−2i32+2i32+2i3−2−2i3000000000000000−2ζ7+2ζ132ζ7−2ζ1300000000
χ584-4-44000000000000000−222200000000−2+2i32−2i32−2i3−2+2i3000000000000000−2ζ5+2ζ232ζ5−2ζ2300000000−2−2i32+2i32+2i3−2−2i30000000000000002ζ7−2ζ13−2ζ7+2ζ1300000000
χ5911111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ601111111111111-1-111-1-1-1-11-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ6111111111111-1-111-1-11111-1-11-11-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32
χ6211111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111−1−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+i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32
χ63111111111-1-1111111-1-1-1-1-11-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ64111111111-1-111-1-1111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ65111111111-1-1-1-111-1-1-1-1-1-11-1-111-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ66111111111-1-1-1-1-1-1-1-1111111-11-11-1-1−1−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−i321+i32−1−i321+i32−1−i321+i321+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+i321−i32−1+i321−i32−1+i321−i321−i32
χ671111-1-111-1111-1111-111-1-11-1-1-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ681111-1-111-1111-1-1-11-1-1-11111-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ691111-1-111-111-1111-1111-1-1-11-11-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ701111-1-111-111-11-1-1-11-1-111-1-1-1111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32
χ711111-1-111-1-1-11-1111-1-1-111-1-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ721111-1-111-1-1-11-1-1-11-111-1-1-11111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ731111-1-111-1-1-1-1111-11-1-111111-1-1-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ741111-1-111-1-1-1-11-1-1-1111-1-11-11-1111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ75222222-2-2-2002-200-22000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i300−1−i31+i3001+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i300−1+i31−i3001−i3−1+i3000000000000
χ76222222-2-2-200-22002-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3001+i3−1−i300−1−i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3001−i3−1+i300−1+i31−i3000000000000
χ772222-2-2-2-22002200-2-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i300−1−i3−1−i3001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i300−1+i3−1+i3001−i31−i3000000000000
χ782222-2-2-2-2200-2-20022000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3001+i31+i300−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3001−i31−i300−1+i3−1+i3000000000000
χ792-22-2002-202-2002i−2i002i−2i0000000000−1−i31+i3−1−i31+i300−1−i31+i30−1−i31+i3002ζ22−2ζ22002ζ22−2ζ220000000000−1+i31−i3−1+i31−i300−1+i31−i30−1+i31−i3002ζ14−2ζ14002ζ14−2ζ140000000000
χ802-22-2002-202-200−2i2i00−2i2i0000000000−1−i31+i3−1−i31+i300−1−i31+i30−1−i31+i300−2ζ222ζ2200−2ζ222ζ220000000000−1+i31−i3−1+i31−i300−1+i31−i30−1+i31−i300−2ζ142ζ1400−2ζ142ζ140000000000
χ812-22-2002-20-22002i−2i00−2i2i0000000000−1−i31+i3−1−i31+i300−1−i31+i301+i3−1−i3002ζ22−2ζ2200−2ζ222ζ220000000000−1+i31−i3−1+i31−i300−1+i31−i301−i3−1+i3002ζ14−2ζ1400−2ζ142ζ140000000000
χ822-22-2002-20-2200−2i2i002i−2i0000000000−1−i31+i3−1−i31+i300−1−i31+i301+i3−1−i300−2ζ222ζ22002ζ22−2ζ220000000000−1+i31−i3−1+i31−i300−1+i31−i301−i3−1+i300−2ζ142ζ14002ζ14−2ζ140000000000
χ8344-4-44i−4i00000000000000000000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ2200000000000000000000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ1400000000000000000000000
χ8444-4-4−4i4i00000000000000000000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ2200000000000000000000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ1400000000000000000000000
χ854-44-400-44000000000000000000000−2−2i32+2i3−2−2i32+2i3002+2i3−2−2i3000000000000000000000−2+2i32−2i3−2+2i32−2i3002−2i3−2+2i3000000000000000000000
χ864-4-4400000000000000022−2200000000−2−2i32+2i32+2i3−2−2i3000000000000000−2ζ7+2ζ132ζ7−2ζ1300000000−2+2i32−2i32−2i3−2+2i30000000000000002ζ5−2ζ23−2ζ5+2ζ2300000000
χ874-4-44000000000000000−222200000000−2−2i32+2i32+2i3−2−2i30000000000000002ζ7−2ζ13−2ζ7+2ζ1300000000−2+2i32−2i32−2i3−2+2i3000000000000000−2ζ5+2ζ232ζ5−2ζ2300000000

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