Finite Group Databasebeta

← Group #10698702

Character table — Group #10698702

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212124488888888121212121212121224242424242424242424242424242424224466668888121212122424242424242424224488884444
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1
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
χ11222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-222220000-2-2-2-200000000000000000000
χ12222222222-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-222-2-2-2-20000222200000000000000000000
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
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-1000000000000
χ1922222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−3000000000000
χ2022222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−33333000000000000
χ2122222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−33333333322-2-2-1-1-1-100001111−3−3−3−33333000000000000
χ2222222222-1-2-2-2222-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−333333333-2-22211110000-1-1-1-13333−3−3−3−3000000000000
χ2322-2-22-22-2222-2000-2022-2-2-2-222222-2-2-2-200−i2−i2−i2−i2i2i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000002i−2i22−2−20000
χ2422-2-22-22-2222-2000-2022-2-2-2-222222-2-2-2-200−i2−i2−i2−i2i2i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000−2i2i−2−2220000
χ2522-2-22-22-2222-2000-2022-2-2-2-222222-2-2-2-200i2i2i2i2−i2−i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000002i−2i−2−2220000
χ2622-2-22-22-2222-2000-2022-2-2-2-222222-2-2-2-200i2i2i2i2−i2−i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000−2i2i22−2−20000
χ2722-2-2-22-22200022-20-22-22-22-2-20000000000−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-20022-2-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-2-2-22-22200022-20-22-22-22-2-20000000000−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2200-2-222i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-2-2-22-22200022-20-22-22-22-2-20000000000i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-20022-2-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-2-2-22-22200022-20-22-22-22-2-20000000000i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2200-2-222−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-2-2-22-22-100022-20-2-11-11-11133−3−33−33−300−i2−i2i2i2−i2−i2i2i2-1-1113−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232-200-1-111−i2−i2i2i233−3−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3222-2-2-22-22-100022-20-2-11-11-11133−3−33−33−300−i2−i2i2i2−i2−i2i2i2-1-1113−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-220011-1-1i2i2−i2−i2−3−333−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3322-2-2-22-22-100022-20-2-11-11-11133−3−33−33−300i2i2−i2−i2i2i2−i2−i2-1-1113−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232-200-1-111i2i2−i2−i233−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3422-2-2-22-22-100022-20-2-11-11-11133−3−33−33−300i2i2−i2−i2i2i2−i2−i2-1-1113−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-220011-1-1−i2−i2i2i2−3−333ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3522-2-2-22-22-100022-20-2-11-11-111−3−333−33−3300−i2−i2i2i2−i2−i2i2i2-1-111−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-200-1-111−i2−i2i2i2−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3622-2-2-22-22-100022-20-2-11-11-111−3−333−33−3300−i2−i2i2i2−i2−i2i2i2-1-111−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-220011-1-1i2i2−i2−i233−3−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3722-2-2-22-22-100022-20-2-11-11-111−3−333−33−3300i2i2−i2−i2i2i2−i2−i2-1-111−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-200-1-111i2i2−i2−i2−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3822-2-2-22-22-100022-20-2-11-11-111−3−333−33−3300i2i2−i2−i2i2i2−i2−i2-1-111−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-220011-1-1−i2−i2i2i233−3−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ392-22-22-2-2222-22000-20-2-222-2-222-22-222-2-200−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000002-200−i2i2−i2i20000
χ402-22-22-2-2222-22000-20-2-222-2-222-22-222-2-200−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000-2200i2−i2i2−i20000
χ412-22-22-2-2222-22000-20-2-222-2-222-22-222-2-200i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000002-200i2−i2i2−i20000
χ422-22-22-2-2222-22000-20-2-222-2-222-22-222-2-200i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000-2200−i2i2−i2i20000
χ432-22-2-222-220002-220-2-22-222-2-20000000000−i2i2i2−i2i2−i2−i2i22-22-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2002i−2i00002−22−22i−2i2i−2i2−22−22−22−2000000000000
χ442-22-2-222-220002-220-2-22-222-2-20000000000−i2i2i2−i2i2−i2−i2i22-22-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200−2i2i0000−22−22−2i2i−2i2i−22−22−22−22000000000000
χ452-22-2-222-220002-220-2-22-222-2-20000000000i2−i2−i2i2−i2i2i2−i22-22-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2002i−2i0000−22−222i−2i2i−2i−22−22−22−22000000000000
χ462-22-2-222-220002-220-2-22-222-2-20000000000i2−i2−i2i2−i2i2i2−i22-22-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200−2i2i00002−22−2−2i2i−2i2i2−22−22−22−2000000000000
χ472-22-2-222-2-10002-220-21-11-1-1113−3−33−333−300−i2i2i2−i2i2−i2−i2i2-11-11−333−3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23002i−2i−i3i3−i3i32−22−2−ii−iiζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ482-22-2-222-2-10002-220-21-11-1-1113−3−33−333−300−i2i2i2−i2i2−i2−i2i2-11-11−333−3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ2300−2i2ii3−i3i3−i3−22−22i−ii−i−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ492-22-2-222-2-10002-220-21-11-1-1113−3−33−333−300i2−i2−i2i2−i2i2i2−i2-11-11−333−3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23002i−2i−i3i3−i3i3−22−22−ii−ii−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ502-22-2-222-2-10002-220-21-11-1-1113−3−33−333−300i2−i2−i2i2−i2i2i2−i2-11-11−333−3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ2300−2i2ii3−i3i3−i32−22−2i−ii−iζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ512-22-2-222-2-10002-220-21-11-1-111−333−33−3−3300−i2i2i2−i2i2−i2−i2i2-11-113−3−33ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7002i−2ii3−i3i3−i32−22−2−ii−iiζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ522-22-2-222-2-10002-220-21-11-1-111−333−33−3−3300−i2i2i2−i2i2−i2−i2i2-11-113−3−33ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700−2i2i−i3i3−i3i3−22−22i−ii−i−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ532-22-2-222-2-10002-220-21-11-1-111−333−33−3−3300i2−i2−i2i2−i2i2i2−i2-11-113−3−33−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7002i−2ii3−i3i3−i3−22−22−ii−ii−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ542-22-2-222-2-10002-220-21-11-1-111−333−33−3−3300i2−i2−i2i2−i2i2i2−i2-11-113−3−33−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700−2i2i−i3i3−i3i32−22−2i−ii−iζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ552-2-2222-2-222-2-22-2-222-2-2-2-22222-22-2-2-222-222-22-2-22-222-2-22-2-2222-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ562-2-2222-2-222-2-22-2-222-2-2-2-22222-22-2-2-222-22-22-222-22-22-2-22-2-222-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ572-2-2222-2-222-2-2-2222-2-2-2-2-22222-22-2-2-2222-200000000-222-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ582-2-2222-2-222-2-2-2222-2-2-2-2-22222-22-2-2-2222-200000000-222-222-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ592-2-2222-2-22-2222-2-2-22-2-2-2-2222-22-2222-2-22-2000000002-2-2222-2-20000000000000000000000002i−2i−2i2i00002i−2i−2i2i2i−2i−2i2i000000000000
χ602-2-2222-2-22-2222-2-2-22-2-2-2-2222-22-2222-2-22-2000000002-2-2222-2-2000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i−2i2i2i−2i000000000000
χ612-2-2222-2-22-222-222-2-2-2-2-2-2222-22-2222-2-2-2200000000-222-2-2-222000000000000000000000000000000000000000000000000002i−2i
χ622-2-2222-2-22-222-222-2-2-2-2-2-2222-22-2222-2-2-2200000000-222-2-2-22200000000000000000000000000000000000000000000000000−2i2i
χ632-2-2222-2-2-12-2-22-2-2221111-1-1-1-11-1111-1-1-222-22-2-22-22-111-111-1-1-11-111-11-1-11-111-11-10000−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000
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χ652-2-2222-2-2-12-2-22-2-2221111-1-1-1-11-1111-1-1-22-22-222-22-2-111-111-1-11-11-1-11-111-11-1-11-110000−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000
χ662-2-2222-2-2-12-2-22-2-2221111-1-1-1-11-1111-1-1-22-22-222-22-2-111-111-1-11-11-1-11-111-11-1-11-110000i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000
χ672-2-2222-2-2-1-2222-2-2-221111-1-1-11-11-1-1-1112-200000000-111-1-1-1113−33−3−33−33−33−333−33−30000−i3i3i3−i3−2i2i2i−2ii3−i3−i3i3i−i−iii−i−ii000000000000
χ682-2-2222-2-2-1-2222-2-2-221111-1-1-11-11-1-1-1112-200000000-111-1-1-1113−33−3−33−33−33−333−33−30000i3−i3−i3i32i−2i−2i2i−i3i3i3−i3−iii−i−iii−i000000000000
χ692-2-2222-2-2-1-2222-2-2-221111-1-1-11-11-1-1-1112-200000000-111-1-1-111−33−333−33−33−33−3−33−330000−i3i3i3−i32i−2i−2i2ii3−i3−i3i3−iii−i−iii−i000000000000
χ702-2-2222-2-2-1-2222-2-2-221111-1-1-11-11-1-1-1112-200000000-111-1-1-111−33−333−33−33−33−3−33−330000i3−i3−i3i3−2i2i2i−2i−i3i3i3−i3i−i−iii−i−ii000000000000
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
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χ764444-4-4-4-4-200000000-222-22-222323−23−23−2323−232300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ774444-4-4-4-4-200000000-222-22-22−23−23232323−2323−230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ784444-4-4-4-4-200000000-222-22-22−23−23232323−2323−2300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
χ7944-4-44-44-44-4-440004044-4-4-4-44-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ8044-4-44-44-4-244-4000-40-2-22222-2-2-2-2-2222200−2i2−2i2−2i2−2i22i22i22i22i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000000000000000
χ8144-4-44-44-4-244-4000-40-2-22222-2-2-2-2-22222002i22i22i22i2−2i2−2i2−2i2−2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000000000000000
χ8244-4-44-44-4-2-4-4400040-2-22222-22222-2-2-2-2000000000000000000i6i6i6i6−i6−i6−i6−i6−i6−i6−i6−i6i6i6i6i6000000000000000000000000000000000000
χ8344-4-44-44-4-2-4-4400040-2-22222-22222-2-2-2-2000000000000000000−i6−i6−i6−i6i6i6i6i6i6i6i6i6−i6−i6−i6−i6000000000000000000000000000000000000
χ8444-4-4-44-444000-4-44044-44-44-4-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-44-2000-4-4404-22-22-2222323−23−2323−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
χ8644-4-4-44-44-2000-4-4404-22-22-222−23−232323−2323−2323000000000022-2-223−2323−230000000000000000000000000000000000000000000000000000
χ874-44-44-4-444-44-400040-4-444-4-44-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ884-44-44-4-44-24-44000-4022-2-222-2-22-22-2-22200−2i22i2−2i22i2−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000000000
χ894-44-44-4-44-24-44000-4022-2-222-2-22-22-2-222002i2−2i22i2−2i22i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000000
χ904-44-44-4-44-2-44-40004022-2-222-22-22-222-2-2000000000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000
χ914-44-44-4-44-2-44-40004022-2-222-22-22-222-2-2000000000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000
χ924-44-4-444-44000-44-404-44-444-4-4000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ934-44-4-444-4-2000-44-4042-22-2-22223−23−2323−232323−2300000000002-22-223−23−23230000000000000000000000000000000000000000000000000000
χ944-44-4-444-4-2000-44-4042-22-2-222−232323−2323−23−232300000000002-22-2−232323−230000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-24-4-4-4444-42222-2-2-2-22-2222-2-24-4000000002-2-22-2-2220000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-444-444-4-42222-2-2-22-22-2-2-222-44000000002-2-2222-2-20000000000000000000000000000000000000000000000000000
χ974-4-44-4-444400000000-444-4-44-400000000002-2-222-2-22000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ984-4-44-4-444400000000-444-4-44-40000000000-222-2-222-200000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ994-4-44-4-444-2000000002-2-222-2223−23−232323−23−2323002-2-222-2-2200000000−1−31+31+3−1−3−1−31+31+3−1−3−1+31−31−3−1+3−1+31−31−3−1+3000000000000000000000000000000000000
χ1004-4-44-4-444-2000000002-2-222-2223−23−232323−23−232300-222-2-222-2000000001+3−1−3−1−31+31+3−1−3−1−31+31−3−1+3−1+31−31−3−1+3−1+31−3000000000000000000000000000000000000
χ1014-4-44-4-444-2000000002-2-222-22−232323−23−232323−23002-2-222-2-2200000000−1+31−31−3−1+3−1+31−31−3−1+3−1−31+31+3−1−3−1−31+31+3−1−3000000000000000000000000000000000000
χ1024-4-44-4-444-2000000002-2-222-22−232323−23−232323−2300-222-2-222-2000000001−3−1+3−1+31−31−3−1+3−1+31−31+3−1−3−1−31+31+3−1−3−1−31+3000000000000000000000000000000000000

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