Finite Group Databasebeta

← Group #5282

Character table — Group #5282

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order1222444422448888888822448888366612121212661212242424242424242466121224242424366612121212661212242424242424242466121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-11111-1-1-1-11-11-111-1-111111111-1-1-1-11111-1-1-1-11-11-111-1-111111111-1-1-1-11111-1-1-1-11-11-111-1-1
χ611111111-1-1-1-11111-1-1-1-1-11-11-1-11111111111-1-1-1-11111-1-1-1-1-11-11-1-11111111111-1-1-1-11111-1-1-1-1-11-11-1-111
χ711111111-1-1-1-1-1-1-1-111111-11-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-1-111
χ811111111-1-1-1-1-1-1-1-11111-11-1111-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ91111-1-1-1-111-1-1ii−i−iii−i−i1-1-11i−ii−i1111-1-1-1-111-1-1ii−i−iii−i−i1-1-11i−ii−i1111-1-1-1-111-1-1ii−i−iii−i−i1-1-11i−ii−i
χ101111-1-1-1-111-1-1ii−i−iii−i−i-111-1−ii−ii1111-1-1-1-111-1-1ii−i−iii−i−i-111-1−ii−ii1111-1-1-1-111-1-1ii−i−iii−i−i-111-1−ii−ii
χ111111-1-1-1-111-1-1−i−iii−i−iii1-1-11−ii−ii1111-1-1-1-111-1-1−i−iii−i−iii1-1-11−ii−ii1111-1-1-1-111-1-1−i−iii−i−iii1-1-11−ii−ii
χ121111-1-1-1-111-1-1−i−iii−i−iii-111-1i−ii−i1111-1-1-1-111-1-1−i−iii−i−iii-111-1i−ii−i1111-1-1-1-111-1-1−i−iii−i−iii-111-1i−ii−i
χ131111-1-1-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii1111-1-1-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii1111-1-1-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii
χ141111-1-1-1-1-1-111ii−i−i−i−iii-1-111−iii−i1111-1-1-1-1-1-111ii−i−i−i−iii-1-111−iii−i1111-1-1-1-1-1-111ii−i−i−i−iii-1-111−iii−i
χ151111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−iii−i1111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−iii−i1111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−iii−i
χ161111-1-1-1-1-1-111−i−iiiii−i−i-1-111i−i−ii1111-1-1-1-1-1-111−i−iiiii−i−i-1-111i−i−ii1111-1-1-1-1-1-111−i−iiiii−i−i-1-111i−i−ii
χ1722-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000022-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000022-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ1822-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000022-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000022-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ1922-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000022-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000022-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ2022-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000022-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000022-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ212-22-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ222-22-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ232-22-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-22-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-22-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ242-22-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-22-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-22-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ252-2-222-2-222-22-200000000000000002-2-222-2-222-22-200000000000000002-2-222-2-222-22-20000000000000000
χ262-2-222-2-22-22-2200000000000000002-2-222-2-22-22-2200000000000000002-2-222-2-22-22-220000000000000000
χ272-2-22-222-22-2-2200000000000000002-2-22-222-22-2-2200000000000000002-2-22-222-22-2-220000000000000000
χ282-2-22-222-2-222-200000000000000002-2-22-222-2-222-200000000000000002-2-22-222-2-222-20000000000000000
χ291111111111111111111111111111−1+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
χ3011111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i32
χ31111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3311111111-1-1-1-11111-1-1-1-11-11-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ3411111111-1-1-1-11111-1-1-1-1-11-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ3511111111-1-1-1-1-1-1-1-111111-11-1-1-111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32
χ3611111111-1-1-1-1-1-1-1-11111-11-1111-1-1−1+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+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ371111-1-1-1-111-1-1ii−i−iii−i−i1-1-11i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22
χ381111-1-1-1-111-1-1ii−i−iii−i−i-111-1−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22−ζ22ζ22
χ391111-1-1-1-111-1-1−i−iii−i−iii1-1-11−ii−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22
χ401111-1-1-1-111-1-1−i−iii−i−iii-111-1i−ii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22ζ22−ζ22
χ411111-1-1-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22
χ421111-1-1-1-1-1-111ii−i−i−i−iii-1-111−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22
χ431111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22
χ441111-1-1-1-1-1-111−i−iiiii−i−i-1-111i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22
χ4522-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000−2ζ232ζ23−2ζ52ζ500000000−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000−2ζ72ζ7−2ζ132ζ1300000000
χ4622-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ14000000002ζ23−2ζ232ζ5−2ζ500000000−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ22000000002ζ7−2ζ72ζ13−2ζ1300000000
χ4722-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000−2ζ52ζ5−2ζ232ζ2300000000−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000−2ζ132ζ13−2ζ72ζ700000000
χ4822-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ14000000002ζ5−2ζ52ζ23−2ζ2300000000−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ22000000002ζ13−2ζ132ζ7−2ζ700000000
χ492-22-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000−2ζ232ζ23−2ζ52ζ5000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000−2ζ72ζ7−2ζ132ζ13000000000000
χ502-22-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ1400002ζ23−2ζ232ζ5−2ζ5000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ2200002ζ7−2ζ72ζ13−2ζ13000000000000
χ512-22-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000−2ζ52ζ5−2ζ232ζ23000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000−2ζ132ζ13−2ζ72ζ7000000000000
χ522-22-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ1400002ζ5−2ζ52ζ23−2ζ23000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ2200002ζ13−2ζ132ζ7−2ζ7000000000000
χ532-2-222-2-222-22-20000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000
χ542-2-222-2-22-22-220000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000000000
χ552-2-22-222-22-2-220000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000000000000000
χ562-2-22-222-2-222-20000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000000
χ571111111111111111111111111111−1−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
χ5811111111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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−i32
χ59111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ60111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−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+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6111111111-1-1-1-11111-1-1-1-11-11-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ6211111111-1-1-1-11111-1-1-1-1-11-11-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ6311111111-1-1-1-1-1-1-1-111111-11-1-1-111−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32
χ6411111111-1-1-1-1-1-1-1-11111-11-1111-1-1−1−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−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
χ651111-1-1-1-111-1-1ii−i−iii−i−i1-1-11i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14
χ661111-1-1-1-111-1-1ii−i−iii−i−i-111-1−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i321−i32−ζ14ζ14−ζ14ζ14
χ671111-1-1-1-111-1-1−i−iii−i−iii1-1-11−ii−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14
χ681111-1-1-1-111-1-1−i−iii−i−iii-111-1i−ii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i321−i32ζ14−ζ14ζ14−ζ14
χ691111-1-1-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14
χ701111-1-1-1-1-1-111ii−i−i−i−iii-1-111−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14
χ711111-1-1-1-1-1-111−i−iiiii−i−i11-1-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14
χ721111-1-1-1-1-1-111−i−iiiii−i−i-1-111i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14
χ7322-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000−2ζ72ζ7−2ζ132ζ1300000000−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000−2ζ232ζ23−2ζ52ζ500000000
χ7422-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ22000000002ζ7−2ζ72ζ13−2ζ1300000000−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ14000000002ζ23−2ζ232ζ5−2ζ500000000
χ7522-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000−2ζ132ζ13−2ζ72ζ700000000−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000−2ζ52ζ5−2ζ232ζ2300000000
χ7622-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ22000000002ζ13−2ζ132ζ7−2ζ700000000−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ14000000002ζ5−2ζ52ζ23−2ζ2300000000
χ772-22-22i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ220000−2ζ72ζ7−2ζ132ζ13000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ140000−2ζ232ζ23−2ζ52ζ5000000000000
χ782-22-22i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ2200002ζ7−2ζ72ζ13−2ζ13000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ1400002ζ23−2ζ232ζ5−2ζ5000000000000
χ792-22-2−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ220000−2ζ132ζ13−2ζ72ζ7000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ140000−2ζ52ζ5−2ζ232ζ23000000000000
χ802-22-2−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ2200002ζ13−2ζ132ζ7−2ζ7000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ1400002ζ5−2ζ52ζ23−2ζ23000000000000
χ812-2-222-2-222-22-20000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000
χ822-2-222-2-22-22-220000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000
χ832-2-22-222-22-2-220000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000000000000000
χ842-2-22-222-2-222-20000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000000000000000

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