Finite Group Databasebeta

← Group #10697536

Character table — Group #10697536

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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ23222-22-2-2-2222-2000-2022-2-22-2-22222-2-2-2-2002222−2−2−2−2000000002222−2−2−2−22222−2−2−2−20000000000000000000000002-20022−2−20000
χ24222-22-2-2-2222-2000-2022-2-22-2-22222-2-2-2-2002222−2−2−2−2000000002222−2−2−2−22222−2−2−2−2000000000000000000000000-2200−2−2220000
χ25222-22-2-2-2222-2000-2022-2-22-2-22222-2-2-2-200−2−2−2−2222200000000−2−2−2−22222−2−2−2−222220000000000000000000000002-200−2−2220000
χ26222-22-2-2-2222-2000-2022-2-22-2-22222-2-2-2-200−2−2−2−2222200000000−2−2−2−22222−2−2−2−22222000000000000000000000000-220022−2−20000
χ2722-22-22-2-220002-2-2022-22-2-22-2000000000022−2−222−2−222-2-2000022−2−222−2−222−2−222−2−2002i−2i−i2−i2i2i200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-22-22-2-220002-2-2022-22-2-22-2000000000022−2−222−2−222-2-2000022−2−222−2−222−2−222−2−200−2i2ii2i2−i2−i20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ2922-22-22-2-220002-2-2022-22-2-22-20000000000−2−222−2−22222-2-20000−2−222−2−222−2−222−2−222002i−2ii2i2−i2−i200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ3022-22-22-2-220002-2-2022-22-2-22-20000000000−2−222−2−22222-2-20000−2−222−2−222−2−222−2−22200−2i2i−i2−i2i2i20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-22-22-2-2-10002-2-202-11-111-1133−3−33−33−30022−2−222−2−2-1-1113−33−3ζ5−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
χ3222-22-22-2-2-10002-2-202-11-111-1133−3−33−33−30022−2−222−2−2-1-1113−33−3ζ5−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
χ3322-22-22-2-2-10002-2-202-11-111-1133−3−33−33−300−2−222−2−222-1-1113−33−3−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
χ3422-22-22-2-2-10002-2-202-11-111-1133−3−33−33−300−2−222−2−222-1-1113−33−3−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
χ3522-22-22-2-2-10002-2-202-11-111-11−3−333−33−330022−2−222−2−2-1-111−33−33ζ13−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
χ3622-22-22-2-2-10002-2-202-11-111-11−3−333−33−330022−2−222−2−2-1-111−33−33ζ13−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
χ3722-22-22-2-2-10002-2-202-11-111-11−3−333−33−3300−2−222−2−222-1-111−33−33−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
χ3822-22-22-2-2-10002-2-202-11-111-11−3−333−33−3300−2−222−2−222-1-111−33−33−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
χ392-22-2-222-2200022-20-2-22-22-22-20000000000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-200−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-2-222-2200022-20-2-22-22-22-20000000000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200i2−i2i2−i2-22-220000i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-2-222-2200022-20-2-22-22-22-20000000000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-200i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-22-2-222-2200022-20-2-22-22-22-20000000000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200−i2i2−i2i2-22-220000−i2i2−i2i2−i2i2−i2i2000000000000
χ432-22-2-222-2-100022-20-21-11-11-113−33−33−3−3300−i2i2−i2i2−i2i2−i2i2-11-113−3−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-200−i2i2−i2i2-11-113−33−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ442-22-2-222-2-100022-20-21-11-11-113−33−33−3−3300−i2i2−i2i2−i2i2−i2i2-11-113−3−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-2200i2−i2i2−i21-11-1−33−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ452-22-2-222-2-100022-20-21-11-11-113−33−33−3−3300i2−i2i2−i2i2−i2i2−i2-11-113−3−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-200i2−i2i2−i2-11-113−33−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ462-22-2-222-2-100022-20-21-11-11-113−33−33−3−3300i2−i2i2−i2i2−i2i2−i2-11-113−3−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-2200−i2i2−i2i21-11-1−33−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ472-22-2-222-2-100022-20-21-11-11-11−33−33−333−300−i2i2−i2i2−i2i2−i2i2-11-11−333−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-200−i2i2−i2i2-11-11−33−33ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ482-22-2-222-2-100022-20-21-11-11-11−33−33−333−300−i2i2−i2i2−i2i2−i2i2-11-11−333−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-2200i2−i2i2−i21-11-13−33−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ492-22-2-222-2-100022-20-21-11-11-11−33−33−333−300i2−i2i2−i2i2−i2i2−i2-11-11−333−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-200i2−i2i2−i2-11-11−33−33−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ502-22-2-222-2-100022-20-21-11-11-11−33−33−333−300i2−i2i2−i2i2−i2i2−i2-11-11−333−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-2200−i2i2−i2i21-11-13−33−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ512-2-222-22-222-2-200020-2-2222-2-22-2-22-2-22200−i2i2i2−i2i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000002i−2i2−22−20000
χ522-2-222-22-222-2-200020-2-2222-2-22-2-22-2-22200−i2i2i2−i2i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000000000000000000000−2i2i−22−220000
χ532-2-222-22-222-2-200020-2-2222-2-22-2-22-2-22200i2−i2−i2i2−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000002i−2i−22−220000
χ542-2-222-22-222-2-200020-2-2222-2-22-2-22-2-22200i2−i2−i2i2−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000000000000000000000−2i2i2−22−20000
χ552-2-2-222-2222-222-22-2-2-2-2-2-22222-2-2222-2-22-22i−2i−2i2i2i−2i−2i2i2-2-2222-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ562-2-2-222-2222-222-22-2-2-2-2-2-22222-2-2222-2-22-2−2i2i2i−2i−2i2i2i−2i2-2-2222-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ572-2-2-222-2222-22-22-2-22-2-2-2-22222-2-2222-2-2-2200000000-222-2-2-222000000000000000000000000000000000000000000002-2-220000
χ582-2-2-222-2222-22-22-2-22-2-2-2-22222-2-2222-2-2-2200000000-222-2-2-22200000000000000000000000000000000000000000000-222-20000
χ592-2-2-222-222-22-22-222-2-2-2-2-2222-222-2-2-222-22000000002-2-22-2-222000000000000000000002-2-22000000002-2-222-2-22000000000000
χ602-2-2-222-222-22-22-222-2-2-2-2-2222-222-2-2-222-22000000002-2-22-2-22200000000000000000000-222-200000000-222-2-222-2000000000000
χ612-2-2-222-222-22-2-22-222-2-2-2-2222-222-2-2-2222-200000000-222-222-2-2000000000000000000000000000000000000000000000000002-2
χ622-2-2-222-222-22-2-22-222-2-2-2-2222-222-2-2-2222-200000000-222-222-2-200000000000000000000000000000000000000000000000000-22
χ632-2-2-222-22-12-222-22-2-21111-1-1-1-111-1-1-1112-22i−2i−2i2i2i−2i−2i2i-111-1-1-111−iii−i−iii−i−iii−i−iii−i00000000−i3i3i3−i3−i3i3i3−i3−333−33−3−33000000000000
χ642-2-2-222-22-12-222-22-2-21111-1-1-1-111-1-1-1112-22i−2i−2i2i2i−2i−2i2i-111-1-1-111−iii−i−iii−i−iii−i−iii−i00000000i3−i3−i3i3i3−i3−i3i33−3−33−333−3000000000000
χ652-2-2-222-22-12-222-22-2-21111-1-1-1-111-1-1-1112-2−2i2i2i−2i−2i2i2i−2i-111-1-1-111i−i−iii−i−iii−i−iii−i−ii00000000−i3i3i3−i3−i3i3i3−i33−3−33−333−3000000000000
χ662-2-2-222-22-12-222-22-2-21111-1-1-1-111-1-1-1112-2−2i2i2i−2i−2i2i2i−2i-111-1-1-111i−i−iii−i−iii−i−iii−i−ii00000000i3−i3−i3i3i3−i3−i3i3−333−33−3−33000000000000
χ672-2-2-222-22-1-22-22-222-21111-1-1-11-1-1111-1-1-2200000000-111-111-1-1−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i300002-2-22i3−i3−i3i3−i3i3i3−i3-111-1-111-1000000000000
χ682-2-2-222-22-1-22-22-222-21111-1-1-11-1-1111-1-1-2200000000-111-111-1-1−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i30000-222-2−i3i3i3−i3i3−i3−i3i31-1-111-1-11000000000000
χ692-2-2-222-22-1-22-22-222-21111-1-1-11-1-1111-1-1-2200000000-111-111-1-1i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i300002-2-22−i3i3i3−i3i3−i3−i3i3-111-1-111-1000000000000
χ702-2-2-222-22-1-22-22-222-21111-1-1-11-1-1111-1-1-2200000000-111-111-1-1i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i30000-222-2i3−i3−i3i3−i3i3i3−i31-1-111-1-11000000000000
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
χ73444-44-4-4-44-4-440004044-4-44-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ74444-44-4-4-4-244-4000-40-2-222-222-2-2-2-222220022222222−22−22−22−2200000000−2−2−2−22222−2−2−2−22222000000000000000000000000000000000000
χ75444-44-4-4-4-244-4000-40-2-222-222-2-2-2-2222200−22−22−22−2222222222000000002222−2−2−2−22222−2−2−2−2000000000000000000000000000000000000
χ76444-44-4-4-4-2-4-4400040-2-222-2222222-2-2-2-20000000000000000006666−6−6−6−6−6−6−6−66666000000000000000000000000000000000000
χ77444-44-4-4-4-2-4-4400040-2-222-2222222-2-2-2-2000000000000000000−6−6−6−666666666−6−6−6−6000000000000000000000000000000000000
χ7844-44-44-4-44000-4440-44-44-4-44-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ7944-44-44-4-4-2000-4440-4-22-222-222323−23−2323−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
χ8044-44-44-4-4-2000-4440-4-22-222-22−23−232323−2323−2323000000000022-2-223−2323−230000000000000000000000000000000000000000000000000000
χ8144-4-4-4-4444000000004-4-44-4-44000000000022-2-2-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ8244-4-4-4-4444000000004-4-44-4-440000000000-2-22222-2-200000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ8344-4-4-4-444-200000000-222-222-22323−23−23−2323−23230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ8444-4-4-4-444-200000000-222-222-22323−23−23−2323−232300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
χ8544-4-4-4-444-200000000-222-222-2−23−23232323−2323−230022-2-2-2-22200000000−1−3−1−31+31+31+31+3−1−3−1−3−1+3−1+31−31−31−31−3−1+3−1+3000000000000000000000000000000000000
χ8644-4-4-4-444-200000000-222-222-2−23−23232323−2323−2300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ874-444-4-4-44400000000-444-4-4-4400000000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ884-444-4-4-44400000000-444-4-4-440000000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ894-444-4-4-44-2000000002-2-2222-223−2323−23−232323−23002i−2i2i−2i−2i2i−2i2i00000000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22000000000000000000000000000000000000
χ904-444-4-4-44-2000000002-2-2222-223−2323−23−232323−2300−2i2i−2i2i2i−2i2i−2i00000000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22000000000000000000000000000000000000
χ914-444-4-4-44-2000000002-2-2222-2−2323−232323−23−2323002i−2i2i−2i−2i2i−2i2i00000000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22000000000000000000000000000000000000
χ924-444-4-4-44-2000000002-2-2222-2−2323−232323−23−232300−2i2i−2i2i2i−2i2i−2i00000000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22000000000000000000000000000000000000
χ934-44-4-444-44000-4-4404-44-44-44-4000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ944-44-4-444-4-2000-4-44042-22-22-2223−2323−2323−23−232300000000002-22-2−232323−230000000000000000000000000000000000000000000000000000
χ954-44-4-444-4-2000-4-44042-22-22-22−2323−2323−232323−2300000000002-22-223−23−23230000000000000000000000000000000000000000000000000000
χ964-4-444-44-44-444000-40-4-4444-4-4-444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-24-4-40004022-2-2-222-222-222-2-200−2i22i22i2−2i22i2−2i2−2i22i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000000000000000
χ984-4-444-44-4-24-4-40004022-2-2-222-222-222-2-2002i2−2i2−2i22i2−2i22i22i2−2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000000000000000
χ994-4-444-44-4-2-444000-4022-2-2-2222-2-22-2-222000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1004-4-444-44-4-2-444000-4022-2-2-2222-2-22-2-222000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ1014-4-4-444-44-24-44-44-4-442222-2-2-2-222-2-2-222-44000000002-2-2222-2-20000000000000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-44-4-44-4442222-2-2-22-2-2222-2-24-4000000002-2-22-2-2220000000000000000000000000000000000000000000000000000

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