Finite Group Databasebeta

← Group #10696463

Character table — Group #10696463

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424244444888812121212121212122424242424242424444488884444
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-22-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ10222222222222-2-2-22-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ11222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000
χ12222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000000000000000000000002-200
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000000000000000000000000000-2200
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
χ1922222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−3000000000000
χ2022222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−33333000000000000
χ2122222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−33333000000000000
χ2222222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−3000000000000
χ23222-2-22-2-2222-2000-20222-2-2-2-22222-2-2-2-2002222−2−2−2−2000000002222−2−2−2−22222−2−2−2−2000000000000000000000000002-222−2−20000
χ24222-2-22-2-2222-2000-20222-2-2-2-22222-2-2-2-2002222−2−2−2−2000000002222−2−2−2−22222−2−2−2−200000000000000000000000000-22−2−2220000
χ25222-2-22-2-2222-2000-20222-2-2-2-22222-2-2-2-200−2−2−2−2222200000000−2−2−2−22222−2−2−2−22222000000000000000000000000002-2−2−2220000
χ26222-2-22-2-2222-2000-20222-2-2-2-22222-2-2-2-200−2−2−2−2222200000000−2−2−2−22222−2−2−2−2222200000000000000000000000000-2222−2−20000
χ2722-22-2-2-22200022-20-22-2-22-22-2000000000022−2−222−2−222-2-2000022−2−222−2−222−2−222−2−2002i−2i−i2−i2i2i200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-22-2-2-22200022-20-22-2-22-22-2000000000022−2−222−2−222-2-2000022−2−222−2−222−2−222−2−200−2i2ii2i2−i2−i20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2922-22-2-2-22200022-20-22-2-22-22-20000000000−2−222−2−22222-2-20000−2−222−2−222−2−222−2−222002i−2ii2i2−i2−i200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ3022-22-2-2-22200022-20-22-2-22-22-20000000000−2−222−2−22222-2-20000−2−222−2−222−2−222−2−22200−2i2i−i2−i2i2i20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-22-2-2-22-100022-20-2-111-11-1133−3−33−33−30022−2−222−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23002i−2i−i2−i2i2i2−i3−i3i3i3−i−iiiζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3222-22-2-2-22-100022-20-2-111-11-1133−3−33−33−30022−2−222−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300−2i2ii2i2−i2−i2i3i3−i3−i3ii−i−i−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3322-22-2-2-22-100022-20-2-111-11-1133−3−33−33−300−2−222−2−222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23002i−2ii2i2−i2−i2−i3−i3i3i3−i−iii−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3422-22-2-2-22-100022-20-2-111-11-1133−3−33−33−300−2−222−2−222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300−2i2i−i2−i2i2i2i3i3−i3−i3ii−i−iζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3522-22-2-2-22-100022-20-2-111-11-11−3−333−33−330022−2−222−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7002i−2i−i2−i2i2i2i3i3−i3−i3−i−iiiζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3622-22-2-2-22-100022-20-2-111-11-11−3−333−33−330022−2−222−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700−2i2ii2i2−i2−i2−i3−i3i3i3ii−i−i−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3722-22-2-2-22-100022-20-2-111-11-11−3−333−33−3300−2−222−2−222-1-111−33−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7002i−2ii2i2−i2−i2i3i3−i3−i3−i−iii−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3822-22-2-2-22-100022-20-2-111-11-11−3−333−33−3300−2−222−2−222-1-111−33−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700−2i2i−i2−i2i2i2−i3−i3i3i3ii−i−iζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ392-22-22-2-2220002-220-2-22-22-2-2200000000002−22−22−22−22-22-200002−22−22−22−22−22−22−22−22i−2i00−i2i2−i2i22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22-2-2220002-220-2-22-22-2-2200000000002−22−22−22−22-22-200002−22−22−22−22−22−22−22−2−2i2i00i2−i2i2−i2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22-2-2220002-220-2-22-22-2-220000000000−22−22−22−222-22-20000−22−22−22−22−22−22−22−222i−2i00i2−i2i2−i22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-22-22-2-2220002-220-2-22-22-2-220000000000−22−22−22−222-22-20000−22−22−22−22−22−22−22−22−2i2i00−i2i2−i2i2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ432-22-22-2-22-10002-220-21-11-111-13−33−33−3−33002−22−22−22−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232i−2i00−i2i2−i2i2−ii−ii−i3i3−i3i3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ442-22-22-2-22-10002-220-21-11-111-13−33−33−3−33002−22−22−22−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2i2i00i2−i2i2−i2i−ii−ii3−i3i3−i3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ452-22-22-2-22-10002-220-21-11-111-13−33−33−3−3300−22−22−22−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232i−2i00i2−i2i2−i2−ii−ii−i3i3−i3i3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ462-22-22-2-22-10002-220-21-11-111-13−33−33−3−3300−22−22−22−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2i2i00−i2i2−i2i2i−ii−ii3−i3i3−i3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ472-22-22-2-22-10002-220-21-11-111-1−33−33−333−3002−22−22−22−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72i−2i00−i2i2−i2i2−ii−iii3−i3i3−i3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ482-22-22-2-22-10002-220-21-11-111-1−33−33−333−3002−22−22−22−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2i2i00i2−i2i2−i2i−ii−i−i3i3−i3i3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ492-22-22-2-22-10002-220-21-11-111-1−33−33−333−300−22−22−22−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72i−2i00i2−i2i2−i2−ii−iii3−i3i3−i3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ502-22-22-2-22-10002-220-21-11-111-1−33−33−333−300−22−22−22−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2i2i00−i2i2−i2i2i−ii−i−i3i3−i3i3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ512-2-2222-2-222-2-200020-2-22-2-2222-2-22-2-222002−2−22−222−2000000002−2−22−222−22−2−22−222−20000000000000000000000002i−2i00−i2i2−i2i20000
χ522-2-2222-2-222-2-200020-2-22-2-2222-2-22-2-222002−2−22−222−2000000002−2−22−222−22−2−22−222−2000000000000000000000000−2i2i00i2−i2i2−i20000
χ532-2-2222-2-222-2-200020-2-22-2-2222-2-22-2-22200−222−22−2−2200000000−222−22−2−22−222−22−2−220000000000000000000000002i−2i00i2−i2i2−i20000
χ542-2-2222-2-222-2-200020-2-22-2-2222-2-22-2-22200−222−22−2−2200000000−222−22−2−22−222−22−2−22000000000000000000000000−2i2i00−i2i2−i2i20000
χ552-2-2-2-222222-222-2-2-22-2-2222-2-22-2-2222-2-2-222-2-222-2-222-2-22-2-2222-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ562-2-2-2-222222-222-2-2-22-2-2222-2-22-2-2222-2-2-22-222-2-222-22-2-22-2-222-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ572-2-2-2-222222-22-222-2-2-2-2222-2-22-2-2222-2-22-200000000-222-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ582-2-2-2-222222-22-222-2-2-2-2222-2-22-2-2222-2-22-200000000-222-222-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ592-2-2-2-22222-22-22-2-222-2-2222-2-2-222-2-2-2222-2000000002-2-2222-2-2000000000000000000002-2-22000000002-2-222-2-22000000000000
χ602-2-2-2-22222-22-22-2-222-2-2222-2-2-222-2-2-2222-2000000002-2-2222-2-200000000000000000000-222-200000000-222-2-222-2000000000000
χ612-2-2-2-22222-22-2-2222-2-2-2222-2-2-222-2-2-222-2200000000-222-2-2-222000000000000000000000000000000000000000000000000002-2
χ622-2-2-2-22222-22-2-2222-2-2-2222-2-2-222-2-2-222-2200000000-222-2-2-22200000000000000000000000000000000000000000000000000-22
χ632-2-2-2-2222-12-222-2-2-2211-1-1-111-111-1-1-111-222-2-222-2-22-111-111-1-1-111-1-111-1-111-1-111-1000000003−3−33−333−33−3−33−333−3000000000000
χ642-2-2-2-2222-12-222-2-2-2211-1-1-111-111-1-1-111-222-2-222-2-22-111-111-1-1-111-1-111-1-111-1-111-100000000−333−33−3−33−333−33−3−33000000000000
χ652-2-2-2-2222-12-222-2-2-2211-1-1-111-111-1-1-111-22-222-2-222-2-111-111-1-11-1-111-1-111-1-111-1-11000000003−3−33−333−3−333−33−3−33000000000000
χ662-2-2-2-2222-12-222-2-2-2211-1-1-111-111-1-1-111-22-222-2-222-2-111-111-1-11-1-111-1-111-1-111-1-1100000000−333−33−3−333−3−33−333−3000000000000
χ672-2-2-2-2222-1-22-22-2-22211-1-1-1111-1-1111-1-12-200000000-111-1-1-1113−3−333−3−33−333−3−333−300002-2-22−333−3−333−3-111-1-111-1000000000000
χ682-2-2-2-2222-1-22-22-2-22211-1-1-1111-1-1111-1-12-200000000-111-1-1-1113−3−333−3−33−333−3−333−30000-222-23−3−333−3−331-1-111-1-11000000000000
χ692-2-2-2-2222-1-22-22-2-22211-1-1-1111-1-1111-1-12-200000000-111-1-1-111−333−3−333−33−3−333−3−3300002-2-223−3−333−3−33-111-1-111-1000000000000
χ702-2-2-2-2222-1-22-22-2-22211-1-1-1111-1-1111-1-12-200000000-111-1-1-111−333−3−333−33−3−333−3−330000-222-2−333−3−333−31-1-111-1-11000000000000
χ7144444444-2444-4-4-44-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222244000000002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ73444-4-44-4-44-4-4400040444-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ74444-4-44-4-4-244-4000-40-2-2-22222-2-2-2-222220022222222−22−22−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000000000000000
χ75444-4-44-4-4-244-4000-40-2-2-22222-2-2-2-2222200−22−22−22−2222222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000000000000000
χ76444-4-44-4-4-2-4-4400040-2-2-222222222-2-2-2-20000000000000000006666−6−6−6−6−6−6−6−66666000000000000000000000000000000000000
χ77444-4-44-4-4-2-4-4400040-2-2-222222222-2-2-2-2000000000000000000−6−6−6−666666666−6−6−6−6000000000000000000000000000000000000
χ7844-44-4-4-444000-4-44044-4-44-44-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ7944-44-4-4-44-2000-4-4404-222-22-222323−23−2323−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
χ8044-44-4-4-44-2000-4-4404-222-22-22−23−232323−2323−2323000000000022-2-223−2323−230000000000000000000000000000000000000000000000000000
χ8144-4-44-44-44000000004-4-4-44-44000000000022-2-2-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ8244-4-44-44-44000000004-4-4-44-440000000000-2-22222-2-200000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ8344-4-44-44-4-200000000-2222-22-22323−23−23−2323−23230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ8444-4-44-44-4-200000000-2222-22-22323−23−23−2323−232300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
χ8544-4-44-44-4-200000000-2222-22-2−23−23232323−2323−230022-2-2-2-22200000000−1−3−1−31+31+31+31+3−1−3−1−3−1+3−1+31−31−31−31−3−1+3−1+3000000000000000000000000000000000000
χ8644-4-44-44-4-200000000-2222-22-2−23−23232323−2323−2300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ874-444-4-44-4400000000-44-4-444-400000000002-22-2-22-22000000002-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ884-444-4-44-4400000000-44-4-444-40000000000-22-222-22-200000000-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ894-444-4-44-4-2000000002-222-2-2223−2323−23−232323−23002-22-2-22-2200000000−1+31−3−1+31−31−3−1+31−3−1+3−1−31+3−1−31+31+3−1−31+3−1−3000000000000000000000000000000000000
χ904-444-4-44-4-2000000002-222-2-2223−2323−23−232323−2300-22-222-22-2000000001−3−1+31−3−1+3−1+31−3−1+31−31+3−1−31+3−1−3−1−31+3−1−31+3000000000000000000000000000000000000
χ914-444-4-44-4-2000000002-222-2-22−2323−232323−23−2323002-22-2-22-2200000000−1−31+3−1−31+31+3−1−31+3−1−3−1+31−3−1+31−31−3−1+31−3−1+3000000000000000000000000000000000000
χ924-444-4-44-4-2000000002-222-2-22−2323−232323−23−232300-22-222-22-2000000001+3−1−31+3−1−3−1−31+3−1−31+31−3−1+31−3−1+3−1+31−3−1+31−3000000000000000000000000000000000000
χ934-44-44-4-444000-44-404-44-44-4-44000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ944-44-44-4-44-2000-44-4042-22-222-223−2323−2323−23−232300000000002-22-223−23−23230000000000000000000000000000000000000000000000000000
χ954-44-44-4-44-2000-44-4042-22-222-2−2323−2323−232323−2300000000002-22-2−232323−230000000000000000000000000000000000000000000000000000
χ964-4-4444-4-44-444000-40-4-44-4-444-444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-24-4-40004022-222-2-2-222-222-2-20022−22−2222−222222−2200000000−222−22−2−22−222−22−2−22000000000000000000000000000000000000
χ984-4-4444-4-4-24-4-40004022-222-2-2-222-222-2-200−222222−2222−22−2222000000002−2−22−222−22−2−22−222−2000000000000000000000000000000000000
χ994-4-4444-4-4-2-444000-4022-222-2-22-2-22-2-2220000000000000000006−6−66−666−6−666−66−6−66000000000000000000000000000000000000
χ1004-4-4444-4-4-2-444000-4022-222-2-22-2-22-2-222000000000000000000−666−66−6−666−6−66−666−6000000000000000000000000000000000000
χ1014-4-4-4-4444-24-44-444-4-422-2-2-222-222-2-2-2224-4000000002-2-22-2-2220000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-44-4-4444-422-2-2-2222-2-2222-2-2-44000000002-2-2222-2-20000000000000000000000000000000000000000000000000000

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