Finite Group Databasebeta

← Group #67929

Character table — Group #67929

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444888888881111222222222244444444448888888811112222222222444444444488888888
order12442488888888441616161616161616161616161616161636121261224242424242424241212484848484848484848484848484848483612126122424242424242424121248484848484848484848484848484848
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
χ51111111111-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111111111-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ61111111111-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii1111111111-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ71111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1011-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1111-1-1-1111-1-1ii−i−ii−i-1-111−i−iiiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1-1111-1-1ii−i−ii−i-1-111−i−iiiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-1-1-1111-1-1ii−i−ii−i-1-111−i−iiiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1211-1-1-1111-1-1ii−i−ii−i-1-111−i−iii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1-1111-1-1ii−i−ii−i-1-111−i−iii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-1-1-1111-1-1ii−i−ii−i-1-111−i−iii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1311-1-1-1111-1-1−i−iii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1-1111-1-1−i−iii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1-1111-1-1−i−iii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1411-1-1-1111-1-1−i−iii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1-1111-1-1−i−iii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1-1111-1-1−i−iii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1511-1-1-1111-1-1−i−iii−ii-1-111ii−i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1-1111-1-1−i−iii−ii-1-111ii−i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-1-1-1111-1-1−i−iii−ii-1-111ii−i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1611-1-1-1111-1-1−i−iii−ii-1-111ii−i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1-1111-1-1−i−iii−ii-1-111ii−i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-1-1-1111-1-1−i−iii−ii-1-111ii−i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ17222222-2-2-2-22222-2-20000000000000000222222-2-2-2-22222-2-20000000000000000222222-2-2-2-22222-2-20000000000000000
χ18222222-2-2-2-2-2-2-2-2220000000000000000222222-2-2-2-2-2-2-2-2220000000000000000222222-2-2-2-2-2-2-2-2220000000000000000
χ192222-2-200002-22-200i2−i2i2−i2i2−i2i2−i2000000002222-2-200002-22-200i2−i2i2−i2i2−i2i2−i2000000002222-2-200002-22-200i2−i2i2−i2i2−i2i2−i200000000
χ202222-2-200002-22-200−i2i2−i2i2−i2i2−i2i2000000002222-2-200002-22-200−i2i2−i2i2−i2i2−i2i2000000002222-2-200002-22-200−i2i2−i2i2−i2i2−i2i200000000
χ212222-2-20000-22-2200i2−i2i2−i2−i2i2−i2i2000000002222-2-20000-22-2200i2−i2i2−i2−i2i2−i2i2000000002222-2-20000-22-2200i2−i2i2−i2−i2i2−i2i200000000
χ222222-2-20000-22-2200−i2i2−i2i2i2−i2i2−i2000000002222-2-20000-22-2200−i2i2−i2i2i2−i2i2−i2000000002222-2-20000-22-2200−i2i2−i2i2i2−i2i2−i200000000
χ2322-2-22-200002i−2i−2i2i00i2−i2−i2i2−222−20000000022-2-22-200002i−2i−2i2i00i2−i2−i2i2−222−20000000022-2-22-200002i−2i−2i2i00i2−i2−i2i2−222−200000000
χ2422-2-22-200002i−2i−2i2i00−i2i2i2−i22−2−220000000022-2-22-200002i−2i−2i2i00−i2i2i2−i22−2−220000000022-2-22-200002i−2i−2i2i00−i2i2i2−i22−2−2200000000
χ2522-2-22-20000−2i2i2i−2i00i2−i2−i2i22−2−220000000022-2-22-20000−2i2i2i−2i00i2−i2−i2i22−2−220000000022-2-22-20000−2i2i2i−2i00i2−i2−i2i22−2−2200000000
χ2622-2-22-20000−2i2i2i−2i00−i2i2i2−i2−222−20000000022-2-22-20000−2i2i2i−2i00−i2i2i2−i2−222−20000000022-2-22-20000−2i2i2i−2i00−i2i2i2−i2−222−200000000
χ2722-2-2-22-2-2222i2i−2i−2i−2i2i000000000000000022-2-2-22-2-2222i2i−2i−2i−2i2i000000000000000022-2-2-22-2-2222i2i−2i−2i−2i2i0000000000000000
χ2822-2-2-22-2-222−2i−2i2i2i2i−2i000000000000000022-2-2-22-2-222−2i−2i2i2i2i−2i000000000000000022-2-2-22-2-222−2i−2i2i2i2i−2i0000000000000000
χ294-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−2200000000000000000000004-44i−4i002i2−2i222−220000000000000000000000
χ304-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−222200000000000000000000004-44i−4i00−2i22i2−22220000000000000000000000
χ314-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−222200000000000000000000004-4−4i4i002i2−2i2−22220000000000000000000000
χ324-4−4i4i00−2i22i222−2200000000000000000000004-4−4i4i00−2i22i222−2200000000000000000000004-4−4i4i00−2i22i222−220000000000000000000000
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
χ371111111111-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ381111111111-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ391111111111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−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−i32−1+i32−1+i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−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+i32−1−i32−1−i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ401111111111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−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−i32−1+i32−1+i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−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+i32−1−i32−1−i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ4111-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13
χ4211-1-1-1111-1-1ii−i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13
χ4311-1-1-1111-1-1ii−i−ii−i-1-111−i−iiiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ13−ζ13
χ4411-1-1-1111-1-1ii−i−ii−i-1-111−i−iii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ13ζ13
χ4511-1-1-1111-1-1−i−iii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7
χ4611-1-1-1111-1-1−i−iii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7
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χ7811-1-1-1111-1-1−i−iii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23
χ7911-1-1-1111-1-1−i−iii−ii-1-111ii−i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ23−ζ23
χ8011-1-1-1111-1-1−i−iii−ii-1-111ii−i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ23ζ23
χ81222222-2-2-2-22222-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000000000
χ82222222-2-2-2-2-2-2-2-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000
χ832222-2-200002-22-200i2−i2i2−i2i2−i2i2−i200000000−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ842222-2-200002-22-200−i2i2−i2i2−i2i2−i2i200000000−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ852222-2-20000-22-2200i2−i2i2−i2−i2i2−i2i200000000−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ862222-2-20000-22-2200−i2i2−i2i2i2−i2i2−i200000000−1−i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ8722-2-22-200002i−2i−2i2i00i2−i2−i2i2−222−200000000−1−i3−1−i31+i31+i3−1−i31+i300002ζ22−2ζ22−2ζ222ζ2200−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300002ζ14−2ζ14−2ζ142ζ1400−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ8822-2-22-200002i−2i−2i2i00−i2i2i2−i22−2−2200000000−1−i3−1−i31+i31+i3−1−i31+i300002ζ22−2ζ22−2ζ222ζ2200ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300002ζ14−2ζ14−2ζ142ζ1400ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ8922-2-22-20000−2i2i2i−2i00i2−i2−i2i22−2−2200000000−1−i3−1−i31+i31+i3−1−i31+i30000−2ζ222ζ222ζ22−2ζ2200−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i30000−2ζ142ζ142ζ14−2ζ1400−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ9022-2-22-20000−2i2i2i−2i00−i2i2i2−i2−222−200000000−1−i3−1−i31+i31+i3−1−i31+i30000−2ζ222ζ222ζ22−2ζ2200ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i30000−2ζ142ζ142ζ14−2ζ1400ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ9122-2-2-22-2-2222i2i−2i−2i−2i2i0000000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i32ζ222ζ22−2ζ22−2ζ22−2ζ222ζ220000000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i32ζ142ζ14−2ζ14−2ζ14−2ζ142ζ140000000000000000
χ9222-2-2-22-2-222−2i−2i2i2i2i−2i0000000000000000−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−2ζ22−2ζ222ζ222ζ222ζ22−2ζ220000000000000000−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−2ζ14−2ζ142ζ142ζ142ζ14−2ζ140000000000000000
χ934-44i−4i002i2−2i222−220000000000000000000000−2−2i32+2i34ζ22−4ζ2200−2ζ7−2ζ132ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ130000000000000000000000−2+2i32−2i34ζ14−4ζ1400−2ζ5−2ζ232ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000000000000000
χ944-44i−4i00−2i22i2−22220000000000000000000000−2−2i32+2i34ζ22−4ζ22002ζ7+2ζ13−2ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ130000000000000000000000−2+2i32−2i34ζ14−4ζ14002ζ5+2ζ23−2ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ230000000000000000000000
χ954-4−4i4i002i2−2i2−22220000000000000000000000−2−2i32+2i3−4ζ224ζ2200−2ζ7−2ζ132ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ130000000000000000000000−2+2i32−2i3−4ζ144ζ1400−2ζ5−2ζ232ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ230000000000000000000000
χ964-4−4i4i00−2i22i222−220000000000000000000000−2−2i32+2i3−4ζ224ζ22002ζ7+2ζ13−2ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ130000000000000000000000−2+2i32−2i3−4ζ144ζ14002ζ5+2ζ23−2ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000000000000000

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