Finite Group Databasebeta

← Group #4572

Character table — Group #4572

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444411111111222222222222444444441111111122222222222244444444
order12224444444488888888224488883666121212121212121224242424242424246612122424242436661212121212121212242424242424242466121224242424
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
χ51111-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii1111-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii
χ71111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii
χ81111-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i
χ911-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1011-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1111-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1211-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1311-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1411-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1511-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1611-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1722222222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000022222222-2-2-2-20000000000000000
χ182222-2-2-2-2-2-22200000000000000002222-2-2-2-2-2-22200000000000000002222-2-2-2-2-2-2220000000000000000
χ1922-2-22i−2i2i−2i-22−2i2i000000000000000022-2-22i−2i2i−2i-22−2i2i000000000000000022-2-22i−2i2i−2i-22−2i2i0000000000000000
χ2022-2-2−2i2i−2i2i-222i−2i000000000000000022-2-2−2i2i−2i2i-222i−2i000000000000000022-2-2−2i2i−2i2i-222i−2i0000000000000000
χ212-22-22i−2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ222-22-22i−2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ232-22-2−2i2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ242-22-2−2i2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ252-2-2222-2-20000i2−i2−i2i2i2−i2−i2i2000000002-2-2222-2-20000i2−i2−i2i2i2−i2−i2i2000000002-2-2222-2-20000i2−i2−i2i2i2−i2−i2i200000000
χ262-2-2222-2-20000−i2i2i2−i2−i2i2i2−i2000000002-2-2222-2-20000−i2i2i2−i2−i2i2i2−i2000000002-2-2222-2-20000−i2i2i2−i2−i2i2i2−i200000000
χ272-2-22-2-22200002−2−22−222−2000000002-2-22-2-22200002−2−22−222−2000000002-2-22-2-22200002−2−22−222−200000000
χ282-2-22-2-2220000−222−22−2−22000000002-2-22-2-2220000−222−22−2−22000000002-2-22-2-2220000−222−22−2−2200000000
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
χ331111-1-1-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ341111-1-1-1-111-1-1iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ351111-1-1-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ361111-1-1-1-111-1-1−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ3711-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ3811-1-1i−ii−i1-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ51−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ131+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13
χ3911-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ4011-1-1i−ii−i1-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ51−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ131+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13
χ4111-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7
χ4211-1-1−ii−ii1-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ231−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ71+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7
χ4311-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7
χ4411-1-1−ii−ii1-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7
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χ812-2-2222-2-20000i2−i2−i2i2i2−i2−i2i200000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ822-2-2222-2-20000−i2i2i2−i2−i2i2i2−i200000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ832-2-22-2-22200002−2−22−222−200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ842-2-22-2-2220000−222−22−2−2200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000

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