Finite Group Databasebeta

← Group #10698311

Character table — Group #10698311

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order12222234444444466612121212121212121212121244444444446612121212121212121212121212121212121212121212888888882424242424242424242424242424242444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ92222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ102222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ112222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-20000000000000000000000000000000000000000002-20000
χ122222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-2000000000000000000000000000000000000000000-220000
χ132222222-2-2-2-2-222-2222-2-2-2-2-2-2-2-22222-220000000022-2-2-2-222000000000000000000000000000000000000000000002-200
χ142222222-2-2-2-2-222-2222-2-2-2-2-2-2-2-22222-220000000022-2-2-2-22200000000000000000000000000000000000000000000-2200
χ15222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ16222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ17222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ18222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ19222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−300000000
χ20222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−3333300000000
χ21222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−3333300000000
χ22222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−300000000
χ232222-2-2222-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002i−2i
χ242222-2-2222-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000−2i2i
χ252222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000000000000000000000002-2000000
χ262222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000000000000000-22000000
χ272222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-2-2200000000-2-222-2-222000000000000000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ282222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-2-2200000000-2-222-2-22200000000000000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ292222-2-22-2-22-2-2222222-2-2-2-2-2-2-2-222222-200000000-2-22222-2-200000000000000002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ302222-2-22-2-22-2-2222222-2-2-2-2-2-2-2-222222-200000000-2-22222-2-20000000000000000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ312222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-13333−3−3−3−33333−3−3−3−300002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii00000000
χ322222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-13333−3−3−3−33333−3−3−3−30000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i00000000
χ332222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-1−3−3−3−33333−3−3−3−3333300002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−iii−i−iii00000000
χ342222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-1−3−3−3−33333−3−3−3−333330000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i00000000
χ352222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−333332i2i−2i−2i0000−i−iii−i−iiii3i3−i3−i3−i3−i3i3i300000000
χ362222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−33333−2i−2i2i2i0000ii−i−iii−i−i−i3−i3i3i3i3i3−i3−i300000000
χ372222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−32i2i−2i−2i0000−i−iii−i−iii−i3−i3i3i3i3i3−i3−i300000000
χ382222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−3−2i−2i2i2i0000ii−i−iii−i−ii3i3−i3−i3−i3−i3i3i300000000
χ3922-2-22-222-2-2000022-2-222-2-2000000000000002i2i−2i−2i2-22-20000000000002i2i−2i−2i2i2i−2i−2i2−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ4022-2-22-222-2-2000022-2-222-2-2000000000000002i2i−2i−2i2-22-20000000000002i2i−2i−2i2i2i−2i−2i−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ4122-2-22-222-2-2000022-2-222-2-200000000000000−2i−2i2i2i2-22-2000000000000−2i−2i2i2i−2i−2i2i2i2−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ4222-2-22-222-2-2000022-2-222-2-200000000000000−2i−2i2i2i2-22-2000000000000−2i−2i2i2i−2i−2i2i2i−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ4322-2-22-2-12-2-200002-111-1-11133−3−333−3−30000002i2i−2i−2i-11-113−33−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii2−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000
χ4422-2-22-2-12-2-200002-111-1-11133−3−333−3−30000002i2i−2i−2i-11-113−33−3−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000
χ4522-2-22-2-12-2-200002-111-1-11133−3−333−3−3000000−2i−2i2i2i-11-113−33−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i2−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000
χ4622-2-22-2-12-2-200002-111-1-11133−3−333−3−3000000−2i−2i2i2i-11-113−33−3i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000
χ4722-2-22-2-12-2-200002-111-1-111−3−333−3−3330000002i2i−2i−2i-11-11−33−33i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii2−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
χ4822-2-22-2-12-2-200002-111-1-111−3−333−3−3330000002i2i−2i−2i-11-11−33−33i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ4922-2-22-2-12-2-200002-111-1-111−3−333−3−333000000−2i−2i2i2i-11-11−33−33−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i2−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ5022-2-22-2-12-2-200002-111-1-111−3−333−3−333000000−2i−2i2i2i-11-11−33−33−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
χ5122-2-2-222-22-2000022-2-2-2-22200000000002i2i−2i−2i0000-222-200002i2i−2i−2i−2i−2i2i2i00000000−i2i2i2−i2−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ5222-2-2-222-22-2000022-2-2-2-22200000000002i2i−2i−2i0000-222-200002i2i−2i−2i−2i−2i2i2i00000000i2−i2−i2i22−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ5322-2-2-222-22-2000022-2-2-2-2220000000000−2i−2i2i2i0000-222-20000−2i−2i2i2i2i2i−2i−2i00000000−i2i2i2−i22−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ5422-2-2-222-22-2000022-2-2-2-2220000000000−2i−2i2i2i0000-222-20000−2i−2i2i2i2i2i−2i−2i00000000i2−i2−i2i2−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ5522-2-2-22-1-22-200002-11111-1-133−3−3−3−333002i2i−2i−2i00001-1-11−333−3−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3−i2i2i2−i2−222−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5622-2-2-22-1-22-200002-11111-1-133−3−3−3−333002i2i−2i−2i00001-1-11−333−3−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3i2−i2−i2i22−2−22−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5722-2-2-22-1-22-200002-11111-1-133−3−3−3−33300−2i−2i2i2i00001-1-11−333−3ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3−i2i2i2−i22−2−22ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5822-2-2-22-1-22-200002-11111-1-133−3−3−3−33300−2i−2i2i2i00001-1-11−333−3ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3i2−i2−i2i2−222−2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5922-2-2-22-1-22-200002-11111-1-1−3−33333−3−3002i2i−2i−2i00001-1-113−3−33−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3−i2i2i2−i2−222−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ6022-2-2-22-1-22-200002-11111-1-1−3−33333−3−3002i2i−2i−2i00001-1-113−3−33−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3i2−i2−i2i22−2−22−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ6122-2-2-22-1-22-200002-11111-1-1−3−33333−3−300−2i−2i2i2i00001-1-113−3−33ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3−i2i2i2−i22−2−22ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ6222-2-2-22-1-22-200002-11111-1-1−3−33333−3−300−2i−2i2i2i00001-1-113−3−33ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3i2−i2−i2i2−222−2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ63444444-2-4-4-444-4-4-4-2-2-22222-2-2-2-222224-400000000-2-222-2-222000000000000000000000000000000000000000000000000
χ64444444-2-4-4-4-4-444-4-2-2-222222222-2-2-2-2-4400000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ654444-4-4-244-44444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-40000000022222222000000000000000000000000000000000000000000000000
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χ7044-4-4-4444-440000-44-4-444-4-4000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ7144-4-4-44-24-440000-4-222-2-2222323−23−232323−23−2300000000002-22-2−2323−2323000000000000000000000000000000000000000000000000
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χ864-4-440040004i−4i000-4-4400004i−4i−4i4i000000−2i2i2i−2i2-2-2200000000−2i2i2i−2i2i−2i−2i2i2-2-222-2-2200000000000000000000000000000000
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χ884-4-44004000−4i4i000-4-440000−4i4i4i−4i000000−2i2i2i−2i-222-200000000−2i2i2i−2i2i−2i−2i2i-222-2-222-200000000000000000000000000000000
χ894-4-4400-20004i−4i00022-223−23−2323−2i2i2i−2i2i3−2i3−2i32i3002i−2i−2i2i-222-200000000−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−ζ221+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000
χ904-4-4400-20004i−4i00022-223−23−2323−2i2i2i−2i2i3−2i3−2i32i300−2i2i2i−2i2-2-2200000000ζ4−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+ζ22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000
χ914-4-4400-20004i−4i00022-2−232323−23−2i2i2i−2i−2i32i32i3−2i3002i−2i−2i2i-222-200000000ζ4+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−ζ221−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000
χ924-4-4400-20004i−4i00022-2−232323−23−2i2i2i−2i−2i32i32i3−2i300−2i2i2i−2i2-2-2200000000−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+ζ22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000
χ934-4-4400-2000−4i4i00022-223−23−23232i−2i−2i2i−2i32i32i3−2i3002i−2i−2i2i2-2-2200000000−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−ζ22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000
χ944-4-4400-2000−4i4i00022-223−23−23232i−2i−2i2i−2i32i32i3−2i300−2i2i2i−2i-222-200000000ζ4−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+ζ221+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000
χ954-4-4400-2000−4i4i00022-2−232323−232i−2i−2i2i2i3−2i3−2i32i3002i−2i−2i2i2-2-2200000000ζ4+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−ζ22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000
χ964-4-4400-2000−4i4i00022-2−232323−232i−2i−2i2i2i3−2i3−2i32i300−2i2i2i−2i-222-200000000−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+ζ221−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000

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