Finite Group Databasebeta

← Group #10698611

Character table — Group #10698611

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424244444888812121212121212122424242424242424224488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ9222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000
χ10222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000
χ11222222222-2-2-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ12222222222-2-2-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000000000000000000000000000002-2
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000000000000000000000000000000000-22
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ1922222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−3000000000000
χ2022222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−33333000000000000
χ2122222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−33333000000000000
χ2222222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−3000000000000
χ2322-22-22-2-222-2-2000022-22-2-22-200000000002222−2−2−2−222-2-200002222−2−2−2−22222−2−2−2−2002i−2i−i2−i2i2i200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2422-22-22-2-222-2-2000022-22-2-22-200000000002222−2−2−2−222-2-200002222−2−2−2−22222−2−2−2−200−2i2ii2i2−i2−i20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2522-22-22-2-222-2-2000022-22-2-22-20000000000−2−2−2−2222222-2-20000−2−2−2−22222−2−2−2−22222002i−2ii2i2−i2−i200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2622-22-22-2-222-2-2000022-22-2-22-20000000000−2−2−2−2222222-2-20000−2−2−2−22222−2−2−2−2222200−2i2i−i2−i2i2i20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2722-22-22-2-2-12-2-200002-11-111-11333−3−3−33−3002222−2−2−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23002i−2i−i2−i2i2i2−i3−i3i3i3−i−iiiζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ2822-22-22-2-2-12-2-200002-11-111-11333−3−3−33−3002222−2−2−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ2300−2i2ii2i2−i2−i2i3i3−i3−i3ii−i−i−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ2922-22-22-2-2-12-2-200002-11-111-11333−3−3−33−300−2−2−2−22222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23002i−2ii2i2−i2−i2−i3−i3i3i3−i−iii−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3022-22-22-2-2-12-2-200002-11-111-11333−3−3−33−300−2−2−2−22222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ2300−2i2i−i2−i2i2i2i3i3−i3−i3ii−i−iζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3122-22-22-2-2-12-2-200002-11-111-11−3−3−3333−33002222−2−2−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7002i−2i−i2−i2i2i2i3i3−i3−i3−i−iiiζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3222-22-22-2-2-12-2-200002-11-111-11−3−3−3333−33002222−2−2−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ700−2i2ii2i2−i2−i2−i3−i3i3i3ii−i−i−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3322-22-22-2-2-12-2-200002-11-111-11−3−3−3333−3300−2−2−2−22222-1-111−33−33−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7002i−2ii2i2−i2−i2i3i3−i3−i3−i−iii−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3422-22-22-2-2-12-2-200002-11-111-11−3−3−3333−3300−2−2−2−22222-1-111−33−33−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ700−2i2i−i2−i2i2i2−i3−i3i3i3ii−i−iζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3522-2-2-2-222200022-2-2022-22-2-2-222-222-2-2-20022−2−222−2−20000000022−2−222−2−222−2−222−2−2000000000000000000000000002i−2i−i2−i2i2i20000
χ3622-2-2-2-222200022-2-2022-22-2-2-222-222-2-2-20022−2−222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000000000−2i2ii2i2−i2−i20000
χ3722-2-2-2-222200022-2-2022-22-2-2-222-222-2-2-200−2−222−2−22200000000−2−222−2−222−2−222−2−222000000000000000000000000002i−2ii2i2−i2−i20000
χ3822-2-2-2-222200022-2-2022-22-2-2-222-222-2-2-200−2−222−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000000000−2i2i−i2−i2i2i20000
χ392-22-2-22-22222-22-22-2-2-2-2222-2-22-222-22-2-2-22000000002-22-2-2-222000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ402-22-2-22-22222-22-22-2-2-2-2222-2-22-222-22-2-2-22000000002-22-2-2-22200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ412-22-2-22-22222-2-22-22-2-2-2222-2-2-22-2-22-2222-22i−2i2i−2i2i−2i2i−2i2-22-222-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ422-22-2-22-22222-2-22-22-2-2-2222-2-2-22-2-22-2222-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ432-22-2-22-222-2-222-22-22-2-2222-2-22-222-22-2-22-200000000-22-2222-2-20000000000000000000000000000000000000000000000002i−2i00
χ442-22-2-22-222-2-222-22-22-2-2222-2-22-222-22-2-22-200000000-22-2222-2-2000000000000000000000000000000000000000000000000−2i2i00
χ452-22-2-22-222-2-22-22-222-2-2222-2-2-22-2-22-222-2200000000-22-22-2-222000000000000000000000000000000000000000000002-22-20000
χ462-22-2-22-222-2-22-22-222-2-2222-2-2-22-2-22-222-2200000000-22-22-2-22200000000000000000000000000000000000000000000-22-220000
χ472-22-2-22-22-122-22-22-2-211-1-1-111-11-1-11-111-2200000000-11-1111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i3−33−33−33−3−ii−ii−ii−ii000000000000
χ482-22-2-22-22-122-22-22-2-211-1-1-111-11-1-11-111-2200000000-11-1111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i−33−33−33−33i−ii−ii−ii−i000000000000
χ492-22-2-22-22-122-22-22-2-211-1-1-111-11-1-11-111-2200000000-11-1111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i−33−33−33−33−ii−ii−ii−ii000000000000
χ502-22-2-22-22-122-22-22-2-211-1-1-111-11-1-11-111-2200000000-11-1111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i3−33−33−33−3i−ii−ii−ii−i000000000000
χ512-22-2-22-22-122-2-22-22-211-1-1-1111-111-11-1-12-22i−2i2i−2i2i−2i2i−2i-11-11-1-111−ii−ii−ii−ii−ii−ii−ii−ii000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i3000000000000
χ522-22-2-22-22-122-2-22-22-211-1-1-1111-111-11-1-12-22i−2i2i−2i2i−2i2i−2i-11-11-1-111−ii−ii−ii−ii−ii−ii−ii−ii00000000−33−333−33−3−i3i3−i3i3i3−i3i3−i3000000000000
χ532-22-2-22-22-122-2-22-22-211-1-1-1111-111-11-1-12-2−2i2i−2i2i−2i2i−2i2i-11-11-1-111i−ii−ii−ii−ii−ii−ii−ii−i000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3000000000000
χ542-22-2-22-22-122-2-22-22-211-1-1-1111-111-11-1-12-2−2i2i−2i2i−2i2i−2i2i-11-11-1-111i−ii−ii−ii−ii−ii−ii−ii−i00000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3000000000000
χ552-2-222-2-222000-222-20-2-2-22-222-222-222-2-200−i2i2i2−i2−i2i2i2−i200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000000000002-200−i2i2i2−i20000
χ562-2-222-2-222000-222-20-2-2-22-222-222-222-2-200−i2i2i2−i2−i2i2i2−i200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000-2200i2−i2−i2i20000
χ572-2-222-2-222000-222-20-2-2-22-222-222-222-2-200i2−i2−i2i2i2−i2−i2i200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000000000002-200i2−i2−i2i20000
χ582-2-222-2-222000-222-20-2-2-22-222-222-222-2-200i2−i2−i2i2i2−i2−i2i200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000-2200−i2i2i2−i20000
χ592-2-2-2222-222-220000-2-222-2-2-220000000000−i2i2−i2i2i2−i2i2−i22-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22i−2i002−2−22−2i2i2i−2i00002−2−222−2−22000000000000
χ602-2-2-2222-222-220000-2-222-2-2-220000000000−i2i2−i2i2i2−i2i2−i22-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−2i2i00−222−22i−2i−2i2i0000−222−2−222−2000000000000
χ612-2-2-2222-222-220000-2-222-2-2-220000000000i2−i2i2−i2−i2i2−i2i22-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22i−2i00−222−2−2i2i2i−2i0000−222−2−222−2000000000000
χ622-2-2-2222-222-220000-2-222-2-2-220000000000i2−i2i2−i2−i2i2−i2i22-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−2i2i002−2−222i−2i−2i2i00002−2−222−2−22000000000000
χ632-2-2-2222-2-12-220000-21-1-1111-13−33−33−3−3300−i2i2−i2i2i2−i2i2−i2-111-1−333−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232i−2i002−2−22i−i−ii−i3i3i3−i3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ642-2-2-2222-2-12-220000-21-1-1111-13−33−33−3−3300−i2i2−i2i2i2−i2i2−i2-111-1−333−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−2i2i00−222−2−iii−ii3−i3−i3i3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ652-2-2-2222-2-12-220000-21-1-1111-13−33−33−3−3300i2−i2i2−i2−i2i2−i2i2-111-1−333−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232i−2i00−222−2i−i−ii−i3i3i3−i3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ662-2-2-2222-2-12-220000-21-1-1111-13−33−33−3−3300i2−i2i2−i2−i2i2−i2i2-111-1−333−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−2i2i002−2−22−iii−ii3−i3−i3i3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ672-2-2-2222-2-12-220000-21-1-1111-1−33−33−333−300−i2i2−i2i2i2−i2i2−i2-111-13−3−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72i−2i002−2−22i−i−iii3−i3−i3i3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ682-2-2-2222-2-12-220000-21-1-1111-1−33−33−333−300−i2i2−i2i2i2−i2i2−i2-111-13−3−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−2i2i00−222−2−iii−i−i3i3i3−i3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ692-2-2-2222-2-12-220000-21-1-1111-1−33−33−333−300i2−i2i2−i2−i2i2−i2i2-111-13−3−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72i−2i00−222−2i−i−iii3−i3−i3i3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ702-2-2-2222-2-12-220000-21-1-1111-1−33−33−333−300i2−i2i2−i2−i2i2−i2i2-111-13−3−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−2i2i002−2−22−iii−i−i3i3i3−i3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ7144444444-2-4-4-44444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222244000000002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ73444-44-4-4-44000000004-4-4-44-44000000000022-2-2-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ74444-44-4-4-44000000004-4-4-44-440000000000-2-22222-2-200000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ75444-44-4-4-4-200000000-2222-22-22323−23−23−2323−23230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ76444-44-4-4-4-200000000-2222-22-22323−23−23−2323−232300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
χ77444-44-4-4-4-200000000-2222-22-2−23−23232323−2323−230022-2-2-2-22200000000−1−3−1−31+31+31+31+3−1−3−1−3−1+3−1+31−31−31−31−3−1+3−1+3000000000000000000000000000000000000
χ78444-44-4-4-4-200000000-2222-22-2−23−23232323−2323−2300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ7944-44-44-4-44-4440000-44-44-4-44-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ8044-44-44-4-4-2-4440000-4-22-222-22232323−23−23−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
χ8144-44-44-4-4-2-4440000-4-22-222-22−23−23−23232323−2323000000000022-2-223−2323−230000000000000000000000000000000000000000000000000000
χ8244-4-4-4-4444000-4-444044-44-4-4-4-4-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-444-200044-4-40-2-22-2222-2-22-2-2222002222−22−222222−22−2200000000−2−222−2−222−2−222−2−222000000000000000000000000000000000000
χ8444-4-4-4-444-200044-4-40-2-22-2222-2-22-2-222200−22−222222−22−2222220000000022−2−222−2−222−2−222−2−2000000000000000000000000000000000000
χ8544-4-4-4-444-2000-4-4440-2-22-222222-222-2-2-200000000000000000066−6−666−6−6−6−666−6−666000000000000000000000000000000000000
χ8644-4-4-4-444-2000-4-4440-2-22-222222-222-2-2-2000000000000000000−6−666−6−66666−6−666−6−6000000000000000000000000000000000000
χ874-444-4-44-4400000000-44-4-444-400000000002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ884-444-4-44-4400000000-44-4-444-40000000000−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ894-444-4-44-4-2000000002-222-2-2223−23−23−23232323−23002i−2i−2i2i−2i2i2i−2i00000000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22000000000000000000000000000000000000
χ904-444-4-44-4-2000000002-222-2-2223−23−23−23232323−2300−2i2i2i−2i2i−2i−2i2i00000000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22000000000000000000000000000000000000
χ914-444-4-44-4-2000000002-222-2-22−23232323−23−23−2323002i−2i−2i2i−2i2i2i−2i00000000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22000000000000000000000000000000000000
χ924-444-4-44-4-2000000002-222-2-22−23232323−23−23−232300−2i2i2i−2i2i−2i−2i2i00000000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22000000000000000000000000000000000000
χ934-44-4-44-44-2-4-444-44-4422-2-2-222-22-2-22-2224-4000000002-22-2-2-2220000000000000000000000000000000000000000000000000000
χ944-44-4-44-44-2-4-44-44-44422-2-2-2222-222-22-2-2-44000000002-22-222-2-20000000000000000000000000000000000000000000000000000
χ954-4-444-4-4440004-4-440-4-4-44-4444-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-44-20004-4-440222-22-2-2-222-222-2-2000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ974-4-444-4-44-20004-4-440222-22-2-2-222-222-2-2000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ984-4-444-4-44-2000-444-40222-22-2-22-2-22-2-22200−2i22i22i2−2i2−2i22i22i2−2i200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000000000000000
χ994-4-444-4-44-2000-444-40222-22-2-22-2-22-2-222002i2−2i2−2i22i22i2−2i2−2i22i200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000000000000000
χ1004-4-4-4444-44-44-400004-444-4-4-44000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-44-4000042-2-2222-223−2323−2323−23−232300000000002-2-2223−23−23230000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-44-4000042-2-2222-2−2323−2323−232323−2300000000002-2-22−232323−230000000000000000000000000000000000000000000000000000

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