Finite Group Databasebeta

← Group #10697825

Character table — Group #10697825

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order12222234444444466612121212121212121212121244444444446612121212121212121212121212121212121212121212888888882424242424242424242424242424242422244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
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
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
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
χ112222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-200000000000000000000000000000000000000002-2000000
χ122222222-2-2-222-2-2-2222-2-2-2-22222-2-2-2-22-20000000022-2-222-2-20000000000000000000000000000000000000000-22000000
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
χ232222-2-2222-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-20000
χ242222-2-2222-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-220000
χ252222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000000000000000000000000000002i−2i
χ262222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000000000000000000000−2i2i
χ272222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-2-2200000000-2-222-2-222000000000000000022-2-2000022-2-222-2-20000000000000000
χ282222-2-22-2-2222-2-22222-2-2-2-22222-2-2-2-2-2200000000-2-222-2-2220000000000000000-2-2220000-2-222-2-2220000000000000000
χ292222-2-22-2-22-2-2222222-2-2-2-2-2-2-2-222222-200000000-2-22222-2-20000000000000000000022-2-20000000022-2-222-2-200000000
χ302222-2-22-2-22-2-2222222-2-2-2-2-2-2-2-222222-200000000-2-22222-2-200000000000000000000-2-22200000000-2-222-2-22200000000
χ312222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-13333−3−3−3−33333−3−3−3−322-2-20000-1-111-1-11133−3−3−3−33300000000
χ322222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-13333−3−3−3−33333−3−3−3−3-2-222000011-1-111-1-1−3−33333−3−300000000
χ332222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-1−3−3−3−33333−3−3−3−3333322-2-20000-1-111-1-111−3−33333−3−300000000
χ342222-2-2-1-2-2222-2-22-1-1-11111-1-1-1-11111-220000000011-1-111-1-1−3−3−3−33333−3−3−3−33333-2-222000011-1-111-1-133−3−3−3−33300000000
χ352222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−33333000022-2-2−3−33333−3−3-1-111-1-11100000000
χ362222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-1113333−3−3−3−3−3−3−3−333330000-2-22233−3−3−3−33311-1-111-1-100000000
χ372222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−3000022-2-233−3−3−3−333-1-111-1-11100000000
χ382222-2-2-1-2-22-2-2222-1-1-111111111-1-1-1-12-20000000011-1-1-1-111−3−3−3−333333333−3−3−3−30000-2-222−3−33333−3−311-1-111-1-100000000
χ392-22-22-222-220000-22-2-222-2-2000000000000002i2i−2i−2i2-22-20000000000002i2i−2i−2i2i2i−2i−2i2−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ402-22-22-222-220000-22-2-222-2-2000000000000002i2i−2i−2i2-22-20000000000002i2i−2i−2i2i2i−2i−2i−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ412-22-22-222-220000-22-2-222-2-200000000000000−2i−2i2i2i2-22-2000000000000−2i−2i2i2i−2i−2i2i2i2−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ422-22-22-222-220000-22-2-222-2-200000000000000−2i−2i2i2i2-22-2000000000000−2i−2i2i2i−2i−2i2i2i−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ432-22-22-2-12-220000-2-111-1-11133−3−333−3−30000002i2i−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
χ442-22-22-2-12-220000-2-111-1-11133−3−333−3−30000002i2i−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
χ452-22-22-2-12-220000-2-111-1-11133−3−333−3−3000000−2i−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
χ462-22-22-2-12-220000-2-111-1-11133−3−333−3−3000000−2i−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
χ472-22-22-2-12-220000-2-111-1-111−3−333−3−3330000002i2i−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
χ482-22-22-2-12-220000-2-111-1-111−3−333−3−3330000002i2i−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
χ492-22-22-2-12-220000-2-111-1-111−3−333−3−333000000−2i−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
χ502-22-22-2-12-220000-2-111-1-111−3−333−3−333000000−2i−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
χ512-22-2-222-2220000-22-2-2-2-22200000000002i2i−2i−2i0000-222-200002i2i−2i−2i−2i−2i2i2i000000002−2−22−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ522-22-2-222-2220000-22-2-2-2-22200000000002i2i−2i−2i0000-222-200002i2i−2i−2i−2i−2i2i2i00000000−222−2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ532-22-2-222-2220000-22-2-2-2-2220000000000−2i−2i2i2i0000-222-20000−2i−2i2i2i2i2i−2i−2i000000002−2−22i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ542-22-2-222-2220000-22-2-2-2-2220000000000−2i−2i2i2i0000-222-20000−2i−2i2i2i2i2i−2i−2i00000000−222−2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ552-22-2-22-1-2220000-2-11111-1-133−3−3−3−333002i2i−2i−2i00001-1-11−333−3−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i32−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700000000
χ562-22-2-22-1-2220000-2-11111-1-133−3−3−3−333002i2i−2i−2i00001-1-11−333−3−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700000000
χ572-22-2-22-1-2220000-2-11111-1-133−3−3−3−33300−2i−2i2i2i00001-1-11−333−3ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i32−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700000000
χ582-22-2-22-1-2220000-2-11111-1-133−3−3−3−33300−2i−2i2i2i00001-1-11−333−3ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700000000
χ592-22-2-22-1-2220000-2-11111-1-1−3−33333−3−3002i2i−2i−2i00001-1-113−3−33−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i32−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ2300000000
χ602-22-2-22-1-2220000-2-11111-1-1−3−33333−3−3002i2i−2i−2i00001-1-113−3−33−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3−222−2i2−i2−i2i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ2300000000
χ612-22-2-22-1-2220000-2-11111-1-1−3−33333−3−300−2i−2i2i2i00001-1-113−3−33ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i32−2−22i2−i2−i2i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ2300000000
χ622-22-2-22-1-2220000-2-11111-1-1−3−33333−3−300−2i−2i2i2i00001-1-113−3−33ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3−222−2−i2i2i2−i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+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
χ664444-4-4-244-4-4-4-4-4-4-2-2-2-2-2-2-22222222244000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ6744-4-40040004-4000-44-400004-44-40000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6844-4-40040004-4000-44-400004-44-4000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6944-4-4004000-44000-44-40000-44-440000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ7044-4-4004000-44000-44-40000-44-44000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ7144-4-400-20004-40002-2223−2323−23-22-2223−2323−23002i−2i2i−2i2i−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−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−ζ2200000000000000000000000000000000
χ7244-4-400-20004-40002-2223−2323−23-22-2223−2323−2300−2i2i−2i2i−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+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+ζ2200000000000000000000000000000000
χ7344-4-400-20004-40002-22−2323−2323-22-22−2323−2323002i−2i2i−2i2i−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−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−ζ2200000000000000000000000000000000
χ7444-4-400-20004-40002-22−2323−2323-22-22−2323−232300−2i2i−2i2i−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+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+ζ2200000000000000000000000000000000
χ7544-4-400-2000-440002-2223−2323−232-22-2−2323−2323002i−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+ζ2200000000000000000000000000000000
χ7644-4-400-2000-440002-2223−2323−232-22-2−2323−232300−2i2i−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−ζ2200000000000000000000000000000000
χ7744-4-400-2000-440002-22−2323−23232-22-223−2323−23002i−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+ζ2200000000000000000000000000000000
χ7844-4-400-2000-440002-22−2323−23232-22-223−2323−2300−2i2i−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−ζ2200000000000000000000000000000000
χ794-44-44-44-44-4000044-4-4-4-4440000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ804-44-44-4-2-44-400004-22222-2-22323−23−23−23−2323230000000000-222-223−23−2323000000000000000000000000000000000000000000000000
χ814-44-44-4-2-44-400004-22222-2-2−23−2323232323−23−230000000000-222-2−232323−23000000000000000000000000000000000000000000000000
χ824-44-4-4444-4-4000044-4-444-4-4000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ834-44-4-44-24-4-400004-222-2-2222323−23−232323−23−2300000000002-22-2−2323−2323000000000000000000000000000000000000000000000000
χ844-44-4-44-24-4-400004-222-2-222−23−232323−23−23232300000000002-22-223−2323−23000000000000000000000000000000000000000000000000
χ854-4-44004000004-40-4-44000000004-4-44002-2-222-2-22000000002-2-22-222-22-2-222-2-2200000000000000000000000000000000
χ864-4-44004000004-40-4-44000000004-4-4400-222-2-222-200000000-222-22-2-22-222-2-222-200000000000000000000000000000000
χ874-4-4400400000-440-4-4400000000-444-4002-2-22-222-2000000002-2-22-222-2-222-2-222-200000000000000000000000000000000
χ884-4-4400400000-440-4-4400000000-444-400-222-22-2-2200000000-222-22-2-222-2-222-2-2200000000000000000000000000000000
χ894-4-4400-2000004-4022-223−23−2323−232323−23-222-2002-2-222-2-2200000000−1+31−31−3−1+31+3−1−3−1−31+3−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000
χ904-4-4400-2000004-4022-223−23−2323−232323−23-222-200-222-2-222-2000000001−3−1+3−1+31−3−1−31+31+3−1−31+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000
χ914-4-4400-2000004-4022-2−232323−2323−23−2323-222-2002-2-222-2-2200000000−1−31+31+3−1−31−3−1+3−1+31−3−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000
χ924-4-4400-2000004-4022-2−232323−2323−23−2323-222-200-222-2-222-2000000001+3−1−3−1−31+3−1+31−31−3−1+31−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000
χ934-4-4400-200000-44022-223−23−232323−23−23232-2-22002-2-22-222-200000000−1+31−31−3−1+31+3−1−3−1−31+31+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000
χ944-4-4400-200000-44022-223−23−232323−23−23232-2-2200-222-22-2-22000000001−3−1+3−1+31−3−1−31+31+3−1−3−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000
χ954-4-4400-200000-44022-2−232323−23−232323−232-2-22002-2-22-222-200000000−1−31+31+3−1−31−3−1+3−1+31−31−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000
χ964-4-4400-200000-44022-2−232323−23−232323−232-2-2200-222-22-2-22000000001+3−1−3−1−31+3−1+31−31−3−1+3−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000

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