Finite Group Databasebeta

← Group #10831022

Character table — Group #10831022

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222222244444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222223444466688881212121224242424242424244466666688888812121212121224242424242424242424242424446688881212121212122424242424242424222244448888
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
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-11-11
χ11111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-11-11
χ12111111-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1111-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1-11
χ1722222222222-2-2-2-22220000-2-2-2-200000000-2-2222222000000-2-2-2-2-2-20000000000000000002i−2i2i−2i0000002i2i−2i−2i2i2i−2i−2i000000000000
χ1822222222222-2-2-2-22220000-2-2-2-200000000-2-2222222000000-2-2-2-2-2-2000000000000000000−2i2i−2i2i000000−2i−2i2i2i−2i−2i2i2i000000000000
χ192222222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ202222222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211111111111111000000000000
χ212222222222-12222-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111112222-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000
χ222222222222-12222-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111-2-2-2-2112222111111-1-1-1-1-1-1-1-1000000000000
χ232222222222-1-2-2-2-2-1-1-1000011113333−3−3−3−3-2-2-1-1-1-1-1-100000011111133−3−33333−3−3−3−30000−i3i32i−2i2i−2i−i3−i3i3i3−i3i3−i−iii−i−iii000000000000
χ242222222222-1-2-2-2-2-1-1-1000011113333−3−3−3−3-2-2-1-1-1-1-1-100000011111133−3−33333−3−3−3−30000i3−i3−2i2i−2i2ii3i3−i3−i3i3−i3ii−i−iii−i−i000000000000
χ252222222222-1-2-2-2-2-1-1-100001111−3−3−3−33333-2-2-1-1-1-1-1-1000000111111−3−333−3−3−3−333330000−i3i3−2i2i−2i2i−i3−i3i3i3−i3i3ii−i−iii−i−i000000000000
χ262222222222-1-2-2-2-2-1-1-100001111−3−3−3−33333-2-2-1-1-1-1-1-1000000111111−3−333−3−3−3−333330000i3−i32i−2i2i−2ii3i3−i3−i3i3−i3−i−iii−i−iii000000000000
χ27222222-2-2-2-22-2-2-2-22220000-2-2-2-2000000002222-2-2-2-2000000-2-222220000000000000000002i−2i−2i2i0000002i2i−2i−2i−2i−2i2i2i000000000000
χ28222222-2-2-2-22-2-2-2-22220000-2-2-2-2000000002222-2-2-2-2000000-2-22222000000000000000000−2i2i2i−2i000000−2i−2i2i2i2i2i−2i−2i000000000000
χ29222222-2-2-2-2-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1111122-2-2-2-2-1-11111-1-1-1-1111111112-2-22-1-1-2-2221111-1-11111-1-1-1-1000000000000
χ30222222-2-2-2-2-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1111122-2-2-2-2-1-11111-1-1-1-111111111-222-21122-2-2-1-1-1-111-1-1-1-11111000000000000
χ31222222-2-2-2-2-12222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-12-2-22-1-122-2-21111-1-1-1-1-1-11111000000000000
χ32222222-2-2-2-2-12222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-1-222-211-2-222-1-1-1-1111111-1-1-1-1000000000000
χ33222222-2-2-2-2-1-2-2-2-2-1-1-1000011113333−3−3−3−322-1-1111100000011-1-1-1-133−3−3−3−3−3−333330000−i3i3−2i2i2i−2ii3i3−i3−i3−i3i3ii−i−i−i−iii000000000000
χ34222222-2-2-2-2-1-2-2-2-2-1-1-1000011113333−3−3−3−322-1-1111100000011-1-1-1-133−3−3−3−3−3−333330000i3−i32i−2i−2i2i−i3−i3i3i3i3−i3−i−iiiii−i−i000000000000
χ35222222-2-2-2-2-1-2-2-2-2-1-1-100001111−3−3−3−3333322-1-1111100000011-1-1-1-1−3−3333333−3−3−3−30000−i3i32i−2i−2i2ii3i3−i3−i3−i3i3−i−iiiii−i−i000000000000
χ36222222-2-2-2-2-1-2-2-2-2-1-1-100001111−3−3−3−3333322-1-1111100000011-1-1-1-1−3−3333333−3−3−3−30000i3−i3−2i2i2i−2i−i3−i3i3i3i3−i3ii−i−i−i−iii000000000000
χ372222-2-222-2-2222-2-222222222222222222222-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ382222-2-222-2-2222-2-2222-2-2-2-22222-2-2-2-2-2-2-2-22-2-2-222-2-222-2-222-2-222-2-22222-2-222-2-222000000000000000000000000000000000000
χ392222-2-222-2-22-2-2222220000-2-2-2-200000000-22-2-222-2-200000022-2-22200000000000022-2-22200002-22-2-2-200000000000000000000
χ402222-2-222-2-22-2-2222220000-2-2-2-200000000-22-2-222-2-200000022-2-222000000000000-2-222-2-20000-22-222200000000000000000000
χ412222-2-222-2-2-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-211-1-111-2-222-2-211-1-1111111-1-111-1-1110000−i3i30000−i3i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000
χ422222-2-222-2-2-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-211-1-111-2-222-2-211-1-1111111-1-111-1-1110000i3−i30000i3−i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000
χ432222-2-222-2-2-122-2-2-1-1-1-2-2-2-2-1-1-1-1111111112-211-1-11122-2-22211-1-111-1-1-1-111-1-111-1-10000−i3i30000−i3i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ442222-2-222-2-2-122-2-2-1-1-1-2-2-2-2-1-1-1-1111111112-211-1-11122-2-22211-1-111-1-1-1-111-1-111-1-10000i3−i30000i3−i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
χ452222-2-222-2-2-1-2-222-1-1-1000011113333−3−3−3−3-2211-1-111000000-1-111-1-1−3−33333−3−3−3−33322-2-2-1-10000-11-11113−3−333−3−33000000000000
χ462222-2-222-2-2-1-2-222-1-1-1000011113333−3−3−3−3-2211-1-111000000-1-111-1-1−3−33333−3−3−3−333-2-2221100001-11-1-1-1−333−3−333−3000000000000
χ472222-2-222-2-2-1-2-222-1-1-100001111−3−3−3−33333-2211-1-111000000-1-111-1-133−3−3−3−33333−3−322-2-2-1-10000-11-1111−333−3−333−3000000000000
χ482222-2-222-2-2-1-2-222-1-1-100001111−3−3−3−33333-2211-1-111000000-1-111-1-133−3−3−3−33333−3−3-2-2221100001-11-1-1-13−3−333−3−33000000000000
χ492222-2-2-2-222222-2-22222222222222222222-22-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ502222-2-2-2-222222-2-2222-2-2-2-22222-2-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2-2-2-2-222222222-2-222-2-2000000000000000000000000000000000000
χ512222-2-2-2-2222-2-2222220000-2-2-2-2000000002-2-2-2-2-2220000002222-2-20000000000002-22-2220000-22-22-2-200000000000000000000
χ522222-2-2-2-2222-2-2222220000-2-2-2-2000000002-2-2-2-2-2220000002222-2-2000000000000-22-22-2-200002-22-22200000000000000000000
χ532222-2-2-2-222-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-221111-1-1-2-2-2-2221111-1-1111111-1-111-1-10000−i3i30000i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000
χ542222-2-2-2-222-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-221111-1-1-2-2-2-2221111-1-1111111-1-111-1-10000i3−i30000−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000
χ552222-2-2-2-222-122-2-2-1-1-1-2-2-2-2-1-1-1-111111111-221111-1-12222-2-21111-1-1-1-1-1-1-1-111-1-1110000−i3i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000
χ562222-2-2-2-222-122-2-2-1-1-1-2-2-2-2-1-1-1-111111111-221111-1-12222-2-21111-1-1-1-1-1-1-1-111-1-1110000i3−i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000
χ572222-2-2-2-222-1-2-222-1-1-1000011113333−3−3−3−32-21111-1-1000000-1-1-1-111−3−333−3−33333−3−32-22-2-1-100001-11-111−333−33−3−33000000000000
χ582222-2-2-2-222-1-2-222-1-1-1000011113333−3−3−3−32-21111-1-1000000-1-1-1-111−3−333−3−33333−3−3-22-22110000-11-11-1-13−3−33−333−3000000000000
χ592222-2-2-2-222-1-2-222-1-1-100001111−3−3−3−333332-21111-1-1000000-1-1-1-11133−3−333−3−3−3−3332-22-2-1-100001-11-1113−3−33−333−3000000000000
χ602222-2-2-2-222-1-2-222-1-1-100001111−3−3−3−333332-21111-1-1000000-1-1-1-11133−3−333−3−3−3−333-22-22110000-11-11-1-1−333−33−3−33000000000000
χ612-2-222-200002-222-2-2-2222-2-2-2-22222-2-222-2-2002-200002-200002-200002-22-200000000000000000000000000000000002-2002-20000
χ622-2-222-200002-222-2-2-2222-2-2-2-22222-2-222-2-2002-200002-200002-200002-22-20000000000000000000000000000000000-2200-220000
χ632-2-222-200002-222-2-2-22-2-222-2-222-2-222-2-222002-20000-2200002-20000-22-2200000000000000000000000000000000002-200-220000
χ642-2-222-200002-222-2-2-22-2-222-2-222-2-222-2-222002-20000-2200002-20000-22-220000000000000000000000000000000000-22002-20000
χ652-2-22-2200002-22-22-2-2222-2-2-2-22222-2-222-2-200-220000-220000-220000-22-22000000000000000000000000000000002-2002-2000000
χ662-2-22-2200002-22-22-2-2222-2-2-2-22222-2-222-2-200-220000-220000-220000-22-2200000000000000000000000000000000-2200-22000000
χ672-2-22-2200002-22-22-2-22-2-222-2-222-2-222-2-22200-2200002-20000-2200002-22-2000000000000000000000000000000002-200-22000000
χ682-2-22-2200002-22-22-2-22-2-222-2-222-2-222-2-22200-2200002-20000-2200002-22-200000000000000000000000000000000-22002-2000000
χ6944-4-400004-4400004-4-4−2i22i2−2i22i20000−2i22i2−2i22i2−2i22i2−2i22i20000004-40000−2i22i2000000000000−2i22i200−2i22i2000000000000000000000000000000000000
χ7044-4-400004-4400004-4-42i2−2i22i2−2i200002i2−2i22i2−2i22i2−2i22i2−2i20000004-400002i2−2i20000000000002i2−2i2002i2−2i2000000000000000000000000000000000000
χ7144-4-400004-4-20000-222−2i22i2−2i22i223−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23000000-220000−2i22i2000023−230000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000
χ7244-4-400004-4-20000-222−2i22i2−2i22i2−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7000000-220000−2i22i20000−23230000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000
χ7344-4-400004-4-20000-2222i2−2i22i2−2i223−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23000000-2200002i2−2i2000023−23000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000
χ7444-4-400004-4-20000-2222i2−2i22i2−2i2−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7000000-2200002i2−2i20000−2323000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000
χ7544-4-40000-44400004-4-4−2i22i2−2i22i20000−2i22i2−2i22i2−2i22i2−2i22i2000000-4400002i2−2i20000000000002i2−2i2002i2−2i2000000000000000000000000000000000000
χ7644-4-40000-44400004-4-42i2−2i22i2−2i200002i2−2i22i2−2i22i2−2i22i2−2i2000000-440000−2i22i2000000000000−2i22i200−2i22i2000000000000000000000000000000000000
χ7744-4-40000-44-20000-222−2i22i2−2i22i223−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ230000002-200002i2−2i20000−2323000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000000000000
χ7844-4-40000-44-20000-222−2i22i2−2i22i2−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ70000002-200002i2−2i2000023−23000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000000000000000
χ7944-4-40000-44-20000-2222i2−2i22i2−2i223−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ230000002-20000−2i22i20000−23230000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000000000000
χ8044-4-40000-44-20000-2222i2−2i22i2−2i2−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ70000002-20000−2i22i2000023−230000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000000000000000
χ814-44-4004-40040000-44-4−2i22i22i2−2i20000−2i22i22i2−2i2−2i22i22i2−2i200004-40000−2i22i2000000000000−2i22i200−2i22i200000000000000000000000000000000000000
χ824-44-4004-40040000-44-42i2−2i2−2i22i200002i2−2i2−2i22i22i2−2i2−2i22i200004-400002i2−2i20000000000002i2−2i2002i2−2i200000000000000000000000000000000000000
χ834-44-4004-400-200002-22−2i22i22i2−2i223−23−23232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000-220000−2i22i2000023−230000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000
χ844-44-4004-400-200002-22−2i22i22i2−2i2−232323−232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ230000-220000−2i22i20000−23230000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000
χ854-44-4004-400-200002-222i2−2i2−2i22i223−23−2323−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ70000-2200002i2−2i2000023−23000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000
χ864-44-4004-400-200002-222i2−2i2−2i22i2−232323−23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ230000-2200002i2−2i20000−2323000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000
χ874-44-400-440040000-44-4−2i22i22i2−2i20000−2i22i22i2−2i2−2i22i22i2−2i20000-4400002i2−2i20000000000002i2−2i2002i2−2i200000000000000000000000000000000000000
χ884-44-400-440040000-44-42i2−2i2−2i22i200002i2−2i2−2i22i22i2−2i2−2i22i20000-440000−2i22i2000000000000−2i22i200−2i22i200000000000000000000000000000000000000
χ894-44-400-4400-200002-22−2i22i22i2−2i223−23−23232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ700002-200002i2−2i20000−2323000000−2ζ13−2ζ232ζ13+2ζ2300−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000
χ904-44-400-4400-200002-22−2i22i22i2−2i2−232323−232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ2300002-200002i2−2i2000023−23000000−2ζ5−2ζ72ζ5+2ζ700−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000
χ914-44-400-4400-200002-222i2−2i2−2i22i223−23−2323−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ700002-20000−2i22i20000−23230000002ζ13+2ζ23−2ζ13−2ζ23002ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000
χ924-44-400-4400-200002-222i2−2i2−2i22i2−232323−23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ2300002-20000−2i22i2000023−230000002ζ5+2ζ7−2ζ5−2ζ7002ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000
χ934-4-444-4000044-4-44-4-44000044-4-400000000004-40000000000-440000000000000000000000000000000000000000000000000000
χ944-4-444-40000-24-4-4422-20000-2-2222323−23−23−23−23232300-2200000000002-2000023−23−232300000000000000000000000000000000000000000000
χ954-4-444-40000-24-4-4422-20000-2-222−23−2323232323−23−2300-2200000000002-20000−232323−2300000000000000000000000000000000000000000000
χ964-4-444-40000-2-444-422-244-4-422-2-2-2-222-2-22200-2200004-40000-220000-22-2200000000000000000000000000000000000000000000
χ974-4-444-40000-2-444-422-2-4-44422-2-222-2-222-2-200-220000-440000-2200002-22-200000000000000000000000000000000000000000000
χ984-4-44-44000044-44-4-4-44000044-4-40000000000-4400000000004-40000000000000000000000000000000000000000000000000000
χ994-4-44-440000-24-44-422-20000-2-2222323−23−23−23−232323002-20000000000-220000−232323−2300000000000000000000000000000000000000000000
χ1004-4-44-440000-24-44-422-20000-2-222−23−2323232323−23−23002-20000000000-22000023−23−232300000000000000000000000000000000000000000000
χ1014-4-44-440000-2-44-4422-244-4-422-2-2-2-222-2-222002-20000-4400002-200002-22-200000000000000000000000000000000000000000000
χ1024-4-44-440000-2-44-4422-2-4-44422-2-222-2-222-2-2002-200004-400002-20000-22-2200000000000000000000000000000000000000000000

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