Finite Group Databasebeta

← Group #10696449

Character table — Group #10696449

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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
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
χ23222-2-2-2-2220002-2-220222-2-2-2-222-2-2-2-22200−i2−i2−i2−i2i2i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000000000002i−2i0022−2−20000
χ24222-2-2-2-2220002-2-220222-2-2-2-222-2-2-2-22200−i2−i2−i2−i2i2i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000−2i2i00−2−2220000
χ25222-2-2-2-2220002-2-220222-2-2-2-222-2-2-2-22200i2i2i2i2−i2−i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000000002i−2i00−2−2220000
χ26222-2-2-2-2220002-2-220222-2-2-2-222-2-2-2-22200i2i2i2i2−i2−i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000−2i2i0022−2−20000
χ2722-22-2-22-222-2-2000022-2-22-22-20000000000−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-2−i2−i2i2i2000022-2-2−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-22-2-22-222-2-2000022-2-22-22-20000000000−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-22i2i2−i2−i20000-2-222i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-22-2-22-222-2-2000022-2-22-22-20000000000i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-2i2i2−i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-22-2-22-222-2-2000022-2-22-22-20000000000i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-22−i2−i2i2i20000-2-222−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-22-2-22-2-12-2-200002-111-11-113−333−3−33−300−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−ζ23002-2−i2−i2i2i233−3−3-1-111ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3222-22-2-22-2-12-2-200002-111-11-113−333−3−33−300−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−ζ2300-22i2i2−i2−i2−3−33311-1-1−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3322-22-2-22-2-12-2-200002-111-11-113−333−3−33−300i2i2−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+ζ23002-2i2i2−i2−i233−3−3-1-111−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3422-22-2-22-2-12-2-200002-111-11-113−333−3−33−300i2i2−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+ζ2300-22−i2−i2i2i2−3−33311-1-1ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3522-22-2-22-2-12-2-200002-111-11-11−33−3−333−3300−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−ζ7002-2−i2−i2i2i2−3−333-1-111ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ3622-22-2-22-2-12-2-200002-111-11-11−33−3−333−3300−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−ζ700-22i2i2−i2−i233−3−311-1-1−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3722-22-2-22-2-12-2-200002-111-11-11−33−3−333−3300i2i2−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+ζ7002-2i2i2−i2−i2−3−333-1-111−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000
χ3822-22-2-22-2-12-2-200002-111-11-11−33−3−333−3300i2i2−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+ζ700-22−i2−i2i2i233−3−311-1-1ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000
χ392-22-22-22-22-22-200002-22-22-2-220000000000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-200−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22-22-22-22-200002-22-22-2-220000000000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200i2−i2i2−i2-22-220000i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22-22-22-22-200002-22-22-2-220000000000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-200i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2000000000000
χ422-22-22-22-22-22-200002-22-22-2-220000000000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200−i2i2−i2i2-22-220000−i2i2−i2i2−i2i2−i2i2000000000000
χ432-22-22-22-2-1-22-2000021-11-111-13−33−33−3−3300−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−i2i2-11-113−33−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ442-22-22-22-2-1-22-2000021-11-111-13−33−33−3−3300−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−i21-11-1−33−33−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ452-22-22-22-2-1-22-2000021-11-111-13−33−33−3−3300i2−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−i2-11-113−33−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ462-22-22-22-2-1-22-2000021-11-111-13−33−33−3−3300i2−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−i2i21-11-1−33−33ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ472-22-22-22-2-1-22-2000021-11-111-1−33−33−333−300−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−i2i2-11-11−33−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ482-22-22-22-2-1-22-2000021-11-111-1−33−33−333−300−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−i21-11-13−33−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ492-22-22-22-2-1-22-2000021-11-111-1−33−33−333−300i2−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−i2-11-11−33−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ502-22-22-22-2-1-22-2000021-11-111-1−33−33−333−300i2−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−i2i21-11-13−33−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ512-2-222-2-22200022-2-20-2-22-2-22222-222-2-2-200−i2i2i2−i2i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000002-2−i2i2−i2i20000
χ522-2-222-2-22200022-2-20-2-22-2-22222-222-2-2-200−i2i2i2−i2i2−i2−i2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000000000000000000000-22i2−i2i2−i20000
χ532-2-222-2-22200022-2-20-2-22-2-22222-222-2-2-200i2−i2−i2i2−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000002-2i2−i2i2−i20000
χ542-2-222-2-22200022-2-20-2-22-2-22222-222-2-2-200i2−i2−i2i2−i2i2i2−i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000000000000000000000-22−i2i2−i2i20000
χ552-2-2-2-2222222-22-22-2-2-2-2222-2-2222-2-22-2-22-200000000-222-222-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ562-2-2-2-2222222-22-22-2-2-2-2222-2-2222-2-22-2-22-200000000-222-222-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ572-2-2-2-2222222-2-22-22-2-2-2222-2-2-2-2-222-222-2200000000-222-2-2-2220000000000000000000000000000000000000000000000002-200
χ582-2-2-2-2222222-2-22-22-2-2-2222-2-2-2-2-222-222-2200000000-222-2-2-222000000000000000000000000000000000000000000000000-2200
χ592-2-2-2-22222-2-222-22-22-2-2222-2-2222-2-22-2-2-222-2-222-2-222-2-22-2-2222-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ602-2-2-2-22222-2-222-22-22-2-2222-2-2222-2-22-2-2-22-222-2-222-22-2-22-2-222-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ612-2-2-2-22222-2-22-22-222-2-2222-2-2-2-2-222-2222-2000000002-2-2222-2-2000000000000000000002-2-22000000002-2-222-2-22000000000000
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χ632-2-2-2-2222-1-2-222-22-2211-1-1-111-1-1-111-111-222-2-222-2-22-111-111-1-1-111-1-111-1-111-1-111-1000000003−3−33−333−33−3−33−333−3000000000000
χ642-2-2-2-2222-1-2-222-22-2211-1-1-111-1-1-111-111-222-2-222-2-22-111-111-1-1-111-1-111-1-111-1-111-100000000−333−33−3−33−333−33−3−33000000000000
χ652-2-2-2-2222-1-2-222-22-2211-1-1-111-1-1-111-111-22-222-2-222-2-111-111-1-11-1-111-1-111-1-111-1-11000000003−3−33−333−3−333−33−3−33000000000000
χ662-2-2-2-2222-1-2-222-22-2211-1-1-111-1-1-111-111-22-222-2-222-2-111-111-1-11-1-111-1-111-1-111-1-1100000000−333−33−3−333−3−33−333−3000000000000
χ672-2-2-2-2222-1-2-22-22-22211-1-1-111111-1-11-1-12-200000000-111-1-1-1113−3−333−3−33−333−3−333−300002-2-22−333−3−333−3-111-1-111-1000000000000
χ682-2-2-2-2222-1-2-22-22-22211-1-1-111111-1-11-1-12-200000000-111-1-1-1113−3−333−3−33−333−3−333−30000-222-23−3−333−3−331-1-111-1-11000000000000
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χ75444-4-4-4-44-20004-4-440-2-2-22222-2-22222-2-2002i22i22i22i2−2i2−2i2−2i2−2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000000000000000
χ76444-4-4-4-44-2000-444-40-2-2-2222222-2-2-2-222000000000000000000i6i6i6i6−i6−i6−i6−i6−i6−i6−i6−i6i6i6i6i6000000000000000000000000000000000000
χ77444-4-4-4-44-2000-444-40-2-2-2222222-2-2-2-222000000000000000000−i6−i6−i6−i6i6i6i6i6i6i6i6i6−i6−i6−i6−i6000000000000000000000000000000000000
χ7844-44-4-44-44-4440000-44-4-44-44-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ7944-44-4-44-4-2-4440000-4-222-22-2223−232323−23−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
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χ8344-4-444-4-4-200000000-2222-22-223−23−23−23232323−230022-2-2-2-22200000000−1−3−1−31+31+31+31+3−1−3−1−3−1+3−1+31−31−31−31−3−1+3−1+3000000000000000000000000000000000000
χ8444-4-444-4-4-200000000-2222-22-223−23−23−23232323−2300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ8544-4-444-4-4-200000000-2222-22-2−23232323−23−23−23230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ8644-4-444-4-4-200000000-2222-22-2−23232323−23−23−232300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
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χ894-444-44-4-4-2000000002-222-2-2223−23−2323−2323−2323002-22-2-22-2200000000−1−31+3−1−31+31+3−1−31+3−1−3−1+31−3−1+31−31−3−1+31−3−1+3000000000000000000000000000000000000
χ904-444-44-4-4-2000000002-222-2-2223−23−2323−2323−232300-22-222-22-2000000001+3−1−31+3−1−3−1−31+3−1−31+31−3−1+31−3−1+3−1+31−3−1+31−3000000000000000000000000000000000000
χ914-444-44-4-4-2000000002-222-2-22−232323−2323−2323−23002-22-2-22-2200000000−1+31−3−1+31−31−3−1+31−3−1+3−1−31+3−1−31+31+3−1−31+3−1−3000000000000000000000000000000000000
χ924-444-44-4-4-2000000002-222-2-22−232323−2323−2323−2300-22-222-22-2000000001−3−1+31−3−1+3−1+31−3−1+31−31+3−1−31+3−1−3−1−31+3−1−31+3000000000000000000000000000000000000
χ934-44-44-44-444-440000-4-44-44-4-44000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ944-44-44-44-4-24-440000-42-22-222-223−2323−2323−23−232300000000002-22-223−23−23230000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-24-440000-42-22-222-2−2323−2323−232323−2300000000002-22-2−232323−230000000000000000000000000000000000000000000000000000
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χ974-4-444-4-44-200044-4-4022-222-2-2-2-22-2-222200−2i22i22i2−2i22i2−2i2−2i22i200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000000000000000
χ984-4-444-4-44-200044-4-4022-222-2-2-2-22-2-2222002i2−2i2−2i22i2−2i22i22i2−2i200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000000000000000
χ994-4-444-4-44-2000-4-444022-222-2-222-222-2-2-2000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1004-4-444-4-44-2000-4-444022-222-2-222-222-2-2-2000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ1014-4-4-4-4444-244-44-44-4-422-2-2-222-2-2-222-2224-4000000002-2-22-2-2220000000000000000000000000000000000000000000000000000
χ1024-4-4-4-4444-244-4-44-44-422-2-2-222222-2-22-2-2-44000000002-2-2222-2-20000000000000000000000000000000000000000000000000000

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