Finite Group Databasebeta

← Group #67893

Character table — Group #67893

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order122244444488888816161616161616162244888836661212121212122424242424244848484848484848661212242424243666121212121212242424242424484848484848484866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111-1-111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111-1-111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111-1-111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii
χ71111-1-111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111-1-111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111-1-111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111-1-111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i
χ911-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1011-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−i1-1i−iii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1111-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1211-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1i−i1-1i−iii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1311-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1411-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii1-1−ii−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1511-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1611-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1−ii1-1−ii−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ172222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-20000000000000000
χ18222222-2-2-2-2000000i2−i2i2−i2i2−i2i2−i200000000222222-2-2-2-2000000i2−i2i2−i2i2−i2i2−i200000000222222-2-2-2-2000000i2−i2i2−i2i2−i2i2−i200000000
χ19222222-2-2-2-2000000−i2i2−i2i2−i2i2−i2i200000000222222-2-2-2-2000000−i2i2−i2i2−i2i2−i2i200000000222222-2-2-2-2000000−i2i2−i2i2−i2i2−i2i200000000
χ202222-2-222-2-22222-2-200000000000000002222-2-222-2-22222-2-200000000000000002222-2-222-2-22222-2-20000000000000000
χ212222-2-2-2-2220000002−22−2−22−22000000002222-2-2-2-2220000002−22−2−22−22000000002222-2-2-2-2220000002−22−2−22−2200000000
χ222222-2-2-2-222000000−22−222−22−2000000002222-2-2-2-222000000−22−222−22−2000000002222-2-2-2-222000000−22−222−22−200000000
χ2322-2-22i−2i2-22i−2i−2i−2i2i2i-22000000000000000022-2-22i−2i2-22i−2i−2i−2i2i2i-22000000000000000022-2-22i−2i2-22i−2i−2i−2i2i2i-220000000000000000
χ2422-2-22i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000022-2-22i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000022-2-22i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ2522-2-22i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000022-2-22i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000022-2-22i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ2622-2-2−2i2i2-2−2i2i2i2i−2i−2i-22000000000000000022-2-2−2i2i2-2−2i2i2i2i−2i−2i-22000000000000000022-2-2−2i2i2-2−2i2i2i2i−2i−2i-220000000000000000
χ2722-2-2−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000022-2-2−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000022-2-2−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ2822-2-2−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000022-2-2−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000022-2-2−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ294-44-40000002i2−2i22i2−2i20000000000000000004-44-40000002i2−2i22i2−2i20000000000000000004-44-40000002i2−2i22i2−2i2000000000000000000
χ304-44-4000000−2i22i2−2i22i20000000000000000004-44-4000000−2i22i2−2i22i20000000000000000004-44-4000000−2i22i2−2i22i2000000000000000000
χ314-4-4400000022−22−22220000000000000000004-4-4400000022−22−22220000000000000000004-4-4400000022−22−2222000000000000000000
χ324-4-44000000−222222−220000000000000000004-4-44000000−222222−220000000000000000004-4-44000000−222222−22000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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
χ371111-1-111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ381111-1-111-1-1-1-1-1-111iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ391111-1-111-1-1-1-1-1-111−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ401111-1-111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ4111-1-1i−i1-1i−iii−i−i1-1ζ7+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−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ4211-1-1i−i1-1i−iii−i−i1-1ζ7+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−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ51−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ131+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13
χ4311-1-1i−i1-1i−iii−i−i1-1−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−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ4411-1-1i−i1-1i−iii−i−i1-1−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−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ51−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ131+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13
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χ4811-1-1−ii1-1−ii−i−iii1-1−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−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7
χ492222222222-2-2-2-2-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000
χ50222222-2-2-2-2000000i2−i2i2−i2i2−i2i2−i200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000
χ51222222-2-2-2-2000000−i2i2−i2i2−i2i2−i2i200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000
χ522222-2-222-2-22222-2-20000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000
χ532222-2-2-2-2220000002−22−2−22−2200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000
χ542222-2-2-2-222000000−22−222−22−200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000
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χ614-44-40000002i2−2i22i2−2i2000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13000000000000000000
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χ6511111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ671111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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
χ681111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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
χ691111-1-111-1-1-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14
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χ721111-1-111-1-1-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
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χ7511-1-1i−i1-1i−iii−i−i1-1−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+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1+i32−1+i321−i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5
χ7611-1-1i−i1-1i−iii−i−i1-1−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+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ131+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13−1+i32−1+i321−i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ51−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5
χ7711-1-1−ii1-1−ii−i−iii1-1ζ5+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−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1+i32−1+i321−i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23
χ7811-1-1−ii1-1−ii−i−iii1-1ζ5+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−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ71+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ231−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23
χ7911-1-1−ii1-1−ii−i−iii1-1−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−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23
χ8011-1-1−ii1-1−ii−i−iii1-1−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−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7−1+i32−1+i321−i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23
χ812222222222-2-2-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000000000000000
χ82222222-2-2-2-2000000i2−i2i2−i2i2−i2i2−i200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ83222222-2-2-2-2000000−i2i2−i2i2−i2i2−i2i200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ842222-2-222-2-22222-2-20000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000
χ852222-2-2-2-2220000002−22−2−22−2200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000
χ862222-2-2-2-222000000−22−222−22−200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8722-2-22i−2i2-22i−2i−2i−2i2i2i-220000000000000000−1−i3−1−i31+i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ22−2ζ22−2ζ222ζ222ζ221+i3−1−i30000000000000000−1+i3−1+i31−i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ14−2ζ14−2ζ142ζ142ζ141−i3−1+i30000000000000000
χ8822-2-22i−2i-22−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000−1−i3−1−i31+i31+i32ζ22−2ζ221+i3−1−i3−2ζ222ζ22000000−ζ4−ζ22ζ4+ζ22ζ4+ζ22−ζ4−ζ22−ζ4+ζ22ζ4−ζ22ζ4−ζ22−ζ4+ζ2200000000−1+i3−1+i31−i31−i32ζ14−2ζ141−i3−1+i3−2ζ142ζ14000000−ζ14−ζ20ζ14+ζ20ζ14+ζ20−ζ14−ζ20ζ14−ζ20−ζ14+ζ20−ζ14+ζ20ζ14−ζ2000000000
χ8922-2-22i−2i-22−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000−1−i3−1−i31+i31+i32ζ22−2ζ221+i3−1−i3−2ζ222ζ22000000ζ4+ζ22−ζ4−ζ22−ζ4−ζ22ζ4+ζ22ζ4−ζ22−ζ4+ζ22−ζ4+ζ22ζ4−ζ2200000000−1+i3−1+i31−i31−i32ζ14−2ζ141−i3−1+i3−2ζ142ζ14000000ζ14+ζ20−ζ14−ζ20−ζ14−ζ20ζ14+ζ20−ζ14+ζ20ζ14−ζ20ζ14−ζ20−ζ14+ζ2000000000
χ9022-2-2−2i2i2-2−2i2i2i2i−2i−2i-220000000000000000−1−i3−1−i31+i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ222ζ222ζ22−2ζ22−2ζ221+i3−1−i30000000000000000−1+i3−1+i31−i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ142ζ142ζ14−2ζ14−2ζ141−i3−1+i30000000000000000
χ9122-2-2−2i2i-222i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000−1−i3−1−i31+i31+i3−2ζ222ζ221+i3−1−i32ζ22−2ζ22000000−ζ4+ζ22ζ4−ζ22ζ4−ζ22−ζ4+ζ22−ζ4−ζ22ζ4+ζ22ζ4+ζ22−ζ4−ζ2200000000−1+i3−1+i31−i31−i3−2ζ142ζ141−i3−1+i32ζ14−2ζ14000000ζ14−ζ20−ζ14+ζ20−ζ14+ζ20ζ14−ζ20−ζ14−ζ20ζ14+ζ20ζ14+ζ20−ζ14−ζ2000000000
χ9222-2-2−2i2i-222i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000−1−i3−1−i31+i31+i3−2ζ222ζ221+i3−1−i32ζ22−2ζ22000000ζ4−ζ22−ζ4+ζ22−ζ4+ζ22ζ4−ζ22ζ4+ζ22−ζ4−ζ22−ζ4−ζ22ζ4+ζ2200000000−1+i3−1+i31−i31−i3−2ζ142ζ141−i3−1+i32ζ14−2ζ14000000−ζ14+ζ20ζ14−ζ20ζ14−ζ20−ζ14+ζ20ζ14+ζ20−ζ14−ζ20−ζ14−ζ20ζ14+ζ2000000000
χ934-44-40000002i2−2i22i2−2i2000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23000000000000000000
χ944-44-4000000−2i22i2−2i22i2000000000000000000−2−2i32+2i3−2−2i32+2i30000002ζ7+2ζ13−2ζ7−2ζ132ζ7+2ζ13−2ζ7−2ζ13000000000000000000−2+2i32−2i3−2+2i32−2i30000002ζ5+2ζ23−2ζ5−2ζ232ζ5+2ζ23−2ζ5−2ζ23000000000000000000
χ954-4-4400000022−22−2222000000000000000000−2−2i32+2i32+2i3−2−2i3000000−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000000−2+2i32−2i32−2i3−2+2i30000002ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ964-4-44000000−222222−22000000000000000000−2−2i32+2i32+2i3−2−2i30000002ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000000−2+2i32−2i32−2i3−2+2i3000000−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000000

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