Finite Group Databasebeta

← Group #4587

Character table — Group #4587

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order1222222244448888888844444444366666661212121224242424242424241212121212121212366666661212121224242424242424241212121212121212
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
χ5111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i
χ6111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii
χ7111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii
χ8111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i
χ91-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ101-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii1-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ111-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii1-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ121-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i1-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i
χ131-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-11-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-1
χ141-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-111-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-11
χ151-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-111-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-11
χ161-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-11-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-1
χ1722222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-20000000000000000
χ18222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000222-2-22-2-2-222-20000000000000000
χ1922-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−20000000022-222-2-2-200002−22−22−22−200000000
χ2022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−220000000022-222-2-2-20000−22−22−22−2200000000
χ2122-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−220000000022-2-2-2-22200002−22−2−22−2200000000
χ2222-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−20000000022-2-2-2-2220000−22−222−22−200000000
χ232-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i2000000002-222-2-2-220000i2−i2−i2i2i2−i2−i2i200000000
χ242-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i2000000002-222-2-2-220000−i2i2i2−i2−i2i2i2−i200000000
χ252-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i2000000002-22-22-22-20000i2−i2−i2i2−i2i2i2−i200000000
χ262-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i2000000002-22-22-22-20000−i2i2i2−i2i2−i2−i2i200000000
χ272-2-22-222-2-2-22200000000000000002-2-22-222-2-2-22200000000000000002-2-22-222-2-2-2220000000000000000
χ282-2-2-222-22-22-2200000000000000002-2-2-222-22-22-2200000000000000002-2-2-222-22-22-220000000000000000
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
χ33111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ34111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ35111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ36111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ371-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22
χ381-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22
χ391-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22
χ401-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22
χ411-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-1−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32
χ421-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-11−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32
χ431-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-11−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32
χ441-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-1−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32
χ4522222222-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000
χ46222-2-22-2-2-222-20000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000000000000000
χ4722-222-2-2-200002−22−22−22−200000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ4822-222-2-2-20000−22−22−22−2200000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ4922-2-2-2-22200002−22−2−22−2200000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ5022-2-2-2-2220000−22−222−22−200000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
χ512-222-2-2-220000i2−i2−i2i2i2−i2−i2i200000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000
χ522-222-2-2-220000−i2i2i2−i2−i2i2i2−i200000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000
χ532-22-22-22-20000i2−i2−i2i2−i2i2i2−i200000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000
χ542-22-22-22-20000−i2i2i2−i2i2−i2−i2i200000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000
χ552-2-22-222-2-2-2220000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000000000000000
χ562-2-2-222-22-22-220000000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−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
χ61111-1-11-1-11-1-111111-1-1-1-1ii−i−iii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ62111-1-11-1-11-1-111111-1-1-1-1−i−iii−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ63111-1-11-1-11-1-11-1-1-1-11111ii−i−i−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ64111-1-11-1-11-1-11-1-1-1-11111−i−iiiii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ651-1-11-111-111-1-1ii−i−iii−i−i1-11-1i−ii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14
χ661-1-11-111-111-1-1ii−i−iii−i−i-11-11−ii−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−1−i32−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−1+i32−ζ14ζ14−ζ14ζ14
χ671-1-11-111-111-1-1−i−iii−i−iii1-11-1−ii−ii−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14
χ681-1-11-111-111-1-1−i−iii−i−iii-11-11i−ii−i−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i321+i32−1−i32ζ22−ζ22ζ22−ζ22−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i321−i32−1+i32ζ14−ζ14ζ14−ζ14
χ691-1-1-111-111-11-1ii−i−i−i−iiii−i−ii-111-1−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i32
χ701-1-1-111-111-11-1ii−i−i−i−iii−iii−i1-1-11−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32
χ711-1-1-111-111-11-1−i−iiiii−i−ii−i−ii1-1-11−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32
χ721-1-1-111-111-11-1−i−iiiii−i−i−iii−i-111-1−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i32
χ7322222222-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000
χ74222-2-22-2-2-222-20000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i30000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i30000000000000000
χ7522-222-2-2-200002−22−22−22−200000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ7622-222-2-2-20000−22−22−22−2200000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ7722-2-2-2-22200002−22−2−22−2200000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ7822-2-2-2-2220000−22−222−22−200000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ792-222-2-2-220000i2−i2−i2i2i2−i2−i2i200000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ802-222-2-2-220000−i2i2i2−i2−i2i2i2−i200000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ812-22-22-22-20000i2−i2−i2i2−i2i2i2−i200000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ822-22-22-22-20000−i2i2i2−i2i2−i2−i2i200000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ832-2-22-222-2-2-2220000000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000000000000000
χ842-2-2-222-22-22-220000000000000000−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i30000000000000000−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i30000000000000000

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