Finite Group Databasebeta

← Group #10690544

Character table — Group #10690544

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222244444444344444444666666612121212121212122244444466661212121212121212121212121212121212121212224444446666121212121212121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111111122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2111111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ37222-2-2-2-2222-2-222-2-220000000022-2-2-2-222222-2-2-2-2002i−2i2i−2i000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ38222-2-2-2-2222-2-222-2-220000000022-2-2-2-222222-2-2-2-2002i−2i2i−2i000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ39222-2-2-2-2222-2-222-2-220000000022-2-2-2-222222-2-2-2-200−2i2i−2i2i00000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ40222-2-2-2-2222-2-222-2-220000000022-2-2-2-222222-2-2-2-200−2i2i−2i2i00000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ41222-2-2-2-22-2-222-2-22220000000022-2-2-2-22-2-2-2-22222002i−2i−2i2i000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ42222-2-2-2-22-2-222-2-22220000000022-2-2-2-22-2-2-2-22222002i−2i−2i2i000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ43222-2-2-2-22-2-222-2-22220000000022-2-2-2-22-2-2-2-2222200−2i2i2i−2i00000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ44222-2-2-2-22-2-222-2-22220000000022-2-2-2-22-2-2-2-2222200−2i2i2i−2i00000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ4522-222-2-2-22i−2i2i−2i2i−2i2i−2i222-2-22i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000022-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ4622-222-2-2-22i−2i2i−2i2i−2i2i−2i222-2-22i−2i2i−2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ4722-222-2-2-22i−2i2i−2i2i−2i2i−2i2-2-222−2i2i−2i2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ4822-222-2-2-22i−2i2i−2i2i−2i2i−2i2-2-222−2i2i−2i2i2-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ4922-222-2-2-2−2i2i−2i2i−2i2i−2i2i222-2-2−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ5022-222-2-2-2−2i2i−2i2i−2i2i−2i2i222-2-2−2i2i−2i2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000022-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ5122-222-2-2-2−2i2i−2i2i−2i2i−2i2i2-2-2222i−2i2i−2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000-2-2222i2i−2i−2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ5222-222-2-2-2−2i2i−2i2i−2i2i−2i2i2-2-2222i−2i2i−2i2-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000-2-2222i2i−2i−2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ532-222-22-2-22i−2i−2i2i−2i2i2i−2i22-22-22i−2i−2i2i-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002-22-22i−2i2i−2i000000000000002-22i−2i0000002-22-22i−2i2i−2i0000000000000000000000000000
χ542-222-22-2-22i−2i−2i2i−2i2i2i−2i22-22-22i−2i−2i2i-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002-22-22i−2i2i−2i00000000000000-22−2i2i000000-22-22−2i2i−2i2i0000000000000000000000000000
χ552-222-22-2-22i−2i−2i2i−2i2i2i−2i2-22-22−2i2i2i−2i-222-22-2-22i−2i2i−2i2i−2i2i−2i000000000000-22-22−2i2i−2i2i0000000000002-200002i−2i2-22-2000000002i−2i2i−2i000000000000000000000000
χ562-222-22-2-22i−2i−2i2i−2i2i2i−2i2-22-22−2i2i2i−2i-222-22-2-22i−2i2i−2i2i−2i2i−2i000000000000-22-22−2i2i−2i2i000000000000-220000−2i2i-22-2200000000−2i2i−2i2i000000000000000000000000
χ572-222-22-2-22i−2i−2i2i−2i2i2i−2i-12-22-22i−2i−2i2i1-1-11-111−ii−ii−ii−ii00000000−i3−i3i3i3-11-11−ii−ii−i3i3−i3i33−33−333−3−3002-22i−2i00−i3i3i3−i3-11-11−ii−ii3−3−33000000000000000000000000
χ582-222-22-2-22i−2i−2i2i−2i2i2i−2i-12-22-22i−2i−2i2i1-1-11-111−ii−ii−ii−ii00000000−i3−i3i3i3-11-11−ii−ii−i3i3−i3i33−33−333−3−300-22−2i2i00i3−i3−i3i31-11-1i−ii−i−333−3000000000000000000000000
χ592-222-22-2-22i−2i−2i2i−2i2i2i−2i-12-22-22i−2i−2i2i1-1-11-111−ii−ii−ii−ii00000000i3i3−i3−i3-11-11−ii−iii3−i3i3−i3−33−33−3−333002-22i−2i00i3−i3−i3i3-11-11−ii−ii−333−3000000000000000000000000
χ602-222-22-2-22i−2i−2i2i−2i2i2i−2i-12-22-22i−2i−2i2i1-1-11-111−ii−ii−ii−ii00000000i3i3−i3−i3-11-11−ii−iii3−i3i3−i3−33−33−3−33300-22−2i2i00−i3i3i3−i31-11-1i−ii−i3−3−33000000000000000000000000
χ612-222-22-2-22i−2i−2i2i−2i2i2i−2i-1-22-22−2i2i2i−2i1-1-11-111−ii−ii−ii−ii00000000−i3−i3i3i31-11-1i−ii−ii3−i3i3−i3−33−3333−3−32-200002i−2i-11-11−i3i3i3−i33−3−33−ii−ii000000000000000000000000
χ622-222-22-2-22i−2i−2i2i−2i2i2i−2i-1-22-22−2i2i2i−2i1-1-11-111−ii−ii−ii−ii00000000−i3−i3i3i31-11-1i−ii−ii3−i3i3−i3−33−3333−3−3-220000−2i2i1-11-1i3−i3−i3i3−333−3i−ii−i000000000000000000000000
χ632-222-22-2-22i−2i−2i2i−2i2i2i−2i-1-22-22−2i2i2i−2i1-1-11-111−ii−ii−ii−ii00000000i3i3−i3−i31-11-1i−ii−i−i3i3−i3i33−33−3−3−3332-200002i−2i-11-11i3−i3−i3i3−333−3−ii−ii000000000000000000000000
χ642-222-22-2-22i−2i−2i2i−2i2i2i−2i-1-22-22−2i2i2i−2i1-1-11-111−ii−ii−ii−ii00000000i3i3−i3−i31-11-1i−ii−i−i3i3−i3i33−33−3−3−333-220000−2i2i1-11-1−i3i3i3−i33−3−33i−ii−i000000000000000000000000
χ652-222-22-2-2−2i2i2i−2i2i−2i−2i2i22-22-2−2i2i2i−2i-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002-22-2−2i2i−2i2i000000000000002-2−2i2i0000002-22-2−2i2i−2i2i0000000000000000000000000000
χ662-222-22-2-2−2i2i2i−2i2i−2i−2i2i22-22-2−2i2i2i−2i-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002-22-2−2i2i−2i2i00000000000000-222i−2i000000-22-222i−2i2i−2i0000000000000000000000000000
χ672-222-22-2-2−2i2i2i−2i2i−2i−2i2i2-22-222i−2i−2i2i-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000000000-22-222i−2i2i−2i0000000000002-20000−2i2i2-22-200000000−2i2i−2i2i000000000000000000000000
χ682-222-22-2-2−2i2i2i−2i2i−2i−2i2i2-22-222i−2i−2i2i-222-22-2-2−2i2i−2i2i−2i2i−2i2i000000000000-22-222i−2i2i−2i000000000000-2200002i−2i-22-22000000002i−2i2i−2i000000000000000000000000
χ692-222-22-2-2−2i2i2i−2i2i−2i−2i2i-12-22-2−2i2i2i−2i1-1-11-111i−ii−ii−ii−i00000000−i3−i3i3i3-11-11i−ii−i−i3i3−i3i3−33−33−3−333002-2−2i2i00−i3i3i3−i3-11-11i−ii−i−333−3000000000000000000000000
χ702-222-22-2-2−2i2i2i−2i2i−2i−2i2i-12-22-2−2i2i2i−2i1-1-11-111i−ii−ii−ii−i00000000−i3−i3i3i3-11-11i−ii−i−i3i3−i3i3−33−33−3−33300-222i−2i00i3−i3−i3i31-11-1−ii−ii3−3−33000000000000000000000000
χ712-222-22-2-2−2i2i2i−2i2i−2i−2i2i-12-22-2−2i2i2i−2i1-1-11-111i−ii−ii−ii−i00000000i3i3−i3−i3-11-11i−ii−ii3−i3i3−i33−33−333−3−3002-2−2i2i00i3−i3−i3i3-11-11i−ii−i3−3−33000000000000000000000000
χ722-222-22-2-2−2i2i2i−2i2i−2i−2i2i-12-22-2−2i2i2i−2i1-1-11-111i−ii−ii−ii−i00000000i3i3−i3−i3-11-11i−ii−ii3−i3i3−i33−33−333−3−300-222i−2i00−i3i3i3−i31-11-1−ii−ii−333−3000000000000000000000000
χ732-222-22-2-2−2i2i2i−2i2i−2i−2i2i-1-22-222i−2i−2i2i1-1-11-111i−ii−ii−ii−i00000000−i3−i3i3i31-11-1−ii−iii3−i3i3−i33−33−3−3−3332-20000−2i2i-11-11−i3i3i3−i3−333−3i−ii−i000000000000000000000000
χ742-222-22-2-2−2i2i2i−2i2i−2i−2i2i-1-22-222i−2i−2i2i1-1-11-111i−ii−ii−ii−i00000000−i3−i3i3i31-11-1−ii−iii3−i3i3−i33−33−3−3−333-2200002i−2i1-11-1i3−i3−i3i33−3−33−ii−ii000000000000000000000000
χ752-222-22-2-2−2i2i2i−2i2i−2i−2i2i-1-22-222i−2i−2i2i1-1-11-111i−ii−ii−ii−i00000000i3i3−i3−i31-11-1−ii−ii−i3i3−i3i3−33−3333−3−32-20000−2i2i-11-11i3−i3−i3i33−3−33i−ii−i000000000000000000000000
χ762-222-22-2-2−2i2i2i−2i2i−2i−2i2i-1-22-222i−2i−2i2i1-1-11-111i−ii−ii−ii−i00000000i3i3−i3−i31-11-1−ii−ii−i3i3−i3i3−33−3333−3−3-2200002i−2i1-11-1−i3i3i3−i3−333−3−ii−ii000000000000000000000000
χ772-2-22-2-22222-2-2-2-22222-2-2222-2-2-2-22-2-2222-2-222-2-220000000000002-2-222-2-220000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ782-2-22-2-22222-2-2-2-22222-2-2222-2-2-2-22-2-2222-2-222-2-220000000000002-2-222-2-22000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ792-2-22-2-22222-2-2-2-2222-222-2-2-222-2-22-2-2222-2-222-2-22000000000000-222-2-222-2000000000000000000000000000000000000000000002-22-22-22-200000000
χ802-2-22-2-22222-2-2-2-2222-222-2-2-222-2-22-2-2222-2-222-2-22000000000000-222-2-222-200000000000000000000000000000000000000000000-22-22-22-2200000000
χ812-2-22-2-222-2-22222-2-222-2-22-2-222-2-22-2-222-222-2-222-20000000000002-2-22-222-20000000000000000000000000000000000002-22-2-22-220000000000000000
χ822-2-22-2-222-2-22222-2-222-2-22-2-222-2-22-2-222-222-2-222-20000000000002-2-22-222-2000000000000000000000000000000000000-22-222-22-20000000000000000
χ832-2-22-2-222-2-22222-2-22-222-222-2-2-2-22-2-222-222-2-222-2000000000000-222-22-2-22000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ842-2-22-2-222-2-22222-2-22-222-222-2-2-2-22-2-222-222-2-222-2000000000000-222-22-2-2200000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ852-2-2-222-222222-2-2-2-2200000000-2-2-222-222-2-22-222-22-200002-22-22-200000000000000002-22-2000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ862-2-2-222-222222-2-2-2-2200000000-2-2-222-222-2-22-222-22-200002-22-22-200000000000000002-22-2000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ872-2-2-222-222222-2-2-2-2200000000-2-2-222-222-2-22-222-2-220000-22-22-220000000000000000-22-22000000000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ882-2-2-222-222222-2-2-2-2200000000-2-2-222-222-2-22-222-2-220000-22-22-220000000000000000-22-22000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ892-2-2-222-22-2-2-2-22222200000000-2-2-222-22-222-22-2-222-20000-222-22-20000000000000000-22-220000000000000000000000002−2−22−222−22−2−22−222−200000000
χ902-2-2-222-22-2-2-2-22222200000000-2-2-222-22-222-22-2-222-20000-222-22-20000000000000000-22-22000000000000000000000000−222−22−2−22−222−22−2−2200000000
χ912-2-2-222-22-2-2-2-22222200000000-2-2-222-22-222-22-2-22-2200002-2-22-2200000000000000002-22-20000000000000000000000002−2−22−222−2−222−22−2−2200000000
χ922-2-2-222-22-2-2-2-22222200000000-2-2-222-22-222-22-2-22-2200002-2-22-2200000000000000002-22-2000000000000000000000000−222−22−2−222−2−22−222−200000000
χ93444-4-4-4-4444-4-444-4-4-200000000-2-22222-2-2-2-2-22222004i−4i4i−4i00000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ94444-4-4-4-4444-4-444-4-4-200000000-2-22222-2-2-2-2-2222200−4i4i−4i4i000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ95444-4-4-4-44-4-444-4-444-200000000-2-22222-22222-2-2-2-2004i−4i−4i4i00000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ96444-4-4-4-44-4-444-4-444-200000000-2-22222-22222-2-2-2-200−4i4i4i−4i000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ9744-444-4-4-44i−4i4i−4i4i−4i4i−4i-244-4-44i−4i4i−4i-22-2-2222−2i−2i2i2i−2i−2i2i2i000000000000-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ9844-444-4-4-44i−4i4i−4i4i−4i4i−4i-2-4-444−4i4i−4i4i-22-2-2222−2i−2i2i2i−2i−2i2i2i00000000000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9944-444-4-4-4−4i4i−4i4i−4i4i−4i4i-244-4-4−4i4i−4i4i-22-2-22222i2i−2i−2i2i2i−2i−2i000000000000-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10044-444-4-4-4−4i4i−4i4i−4i4i−4i4i-2-4-4444i−4i4i−4i-22-2-22222i2i−2i−2i2i2i−2i−2i00000000000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-444-44i−4i−4i4i4i−4i−4i4i4000000004-4-4-444-44i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-444-44i−4i−4i4i4i−4i−4i4i-200000000-2222-2-22−2i−2i2i2i2i2i−2i−2i00000000−2i32i32i3−2i3000000000000000023−23−2323000000000000000000000000000000000000000000000000
χ10344-4-4-444-44i−4i−4i4i4i−4i−4i4i-200000000-2222-2-22−2i−2i2i2i2i2i−2i−2i000000002i3−2i3−2i32i30000000000000000−232323−23000000000000000000000000000000000000000000000000
χ10444-4-4-444-4−4i4i4i−4i−4i4i4i−4i4000000004-4-4-444-4−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10544-4-4-444-4−4i4i4i−4i−4i4i4i−4i-200000000-2222-2-222i2i−2i−2i−2i−2i2i2i00000000−2i32i32i3−2i30000000000000000−232323−23000000000000000000000000000000000000000000000000
χ10644-4-4-444-4−4i4i4i−4i−4i4i4i−4i-200000000-2222-2-222i2i−2i−2i−2i−2i2i2i000000002i3−2i3−2i32i3000000000000000023−23−2323000000000000000000000000000000000000000000000000
χ1074-44-44-44-44i−4i4i−4i−4i4i−4i4i400000000-44-44-44-44i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000023−23−23232i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ1094-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000−232323−23−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ1104-44-44-44-4−4i4i−4i4i4i−4i4i−4i400000000-44-44-44-4−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000023−23−2323−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ1124-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000−232323−232i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ1134-4-44-4-44444-4-4-4-444-24-4-4444-4-422-222-2-2-222-2-222-2000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-44444-4-4-4-444-2-444-4-4-44422-222-2-2-222-2-222-20000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-4-444-4-44444-4-4-24-4-44-4-44422-222-2-22-2-222-2-22000000000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-4-444-4-44444-4-4-2-444-444-4-422-222-2-22-2-222-2-220000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-444-444444-4-4-4-4-200000000222-2-22-2-222-22-2-224-400004-4-22-220000000000000000-22-22000000000000000000000000000000000000000000000000
χ1184-4-4-444-444444-4-4-4-4-200000000222-2-22-2-222-22-2-22-440000-442-22-200000000000000002-22-2000000000000000000000000000000000000000000000000
χ1194-4-4-444-44-4-4-4-44444-200000000222-2-22-22-2-22-222-24-40000-44-22-2200000000000000002-22-2000000000000000000000000000000000000000000000000
χ1204-4-4-444-44-4-4-4-44444-200000000222-2-22-22-2-22-222-2-4400004-42-22-20000000000000000-22-22000000000000000000000000000000000000000000000000

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