Finite Group Databasebeta

← Group #11808961

Character table — Group #11808961

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-1222-1-122-1-1-12-1-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-122-1-1-12-1-1222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-200000000-2-2-1-1-1-1111111110000000000000000
χ19222222222-1222-1-122-1-1-12-1-1222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-11111-2-2-2-200000000221111-1-1-1-111110000000000000000
χ20222222222-1222-1-122-1-1-12-1-1222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-2-22200000000-2-211111111-1-1-1-10000000000000000
χ21222222222-1222-1-122-1-1-12-1-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-21111111111110000000000000000
χ22222222222-1222-1-122-1-1-12-1-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-2-22200000000221111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1222-1-122-1-1-12-1-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-2221111-1-1-1-11111222200000000-2-2-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-122-1-1-12-1-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-211111111-1-1-1-122-2-20000000022-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-1-122-1-1222-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222222200000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-122-1-1222-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2000000000000001111111100000000
χ2722222222-12-1-1-122-1-1222-122-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111100002222-2-2-2-200000000000000-1-1-1-1111100000000
χ2822222222-12-1-1-122-1-1222-122-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111110000-2-2-2-22222000000000000001111-1-1-1-100000000
χ2922222222-12-1-1-122-1-1222-122-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-11111000022-2-222-2-200000000000000-1-111-1-11100000000
χ3022222222-12-1-1-122-1-1222-122-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-111110000-2-222-2-2220000000000000011-1-111-1-100000000
χ3122222222-12-1-1-122-1-1222-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-1000022-2-2-2-22200000000000000-1-11111-1-100000000
χ3222222222-12-1-1-122-1-1222-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-10000-2-22222-2-20000000000000011-1-1-1-11100000000
χ332222-2-2-2-22222-2-2-22-2222-2-2-2-22222-2-2-2-222-2000022-2-22-2-222-2-2000000002222-2-2-2-22-2000022-2-2000000002-200000000000022-2-2000000000000000000000000
χ342222-2-2-2-22222-2-2-22-2222-2-2-2-22222-2-2-2-22-22000022-2-22-2-2-2-222000000002222-2-2-2-2-220000-2-22200000000-22000000000000-2-222000000000000000000000000
χ352222-2-2-2-22222-2-2-22-2222-2-2-2-2-2-2-2-2222222-2000022-2-22-2-222-2-200000000-2-2-2-222222-2000022-2-200000000-22000000000000-2-222000000000000000000000000
χ362222-2-2-2-22222-2-2-22-2222-2-2-2-2-2-2-2-222222-22000022-2-22-2-2-2-22200000000-2-2-2-22222-220000-2-222000000002-200000000000022-2-2000000000000000000000000
χ372222-2-2-2-22-122-2112-2-1-1-1-211-22222-2-2-2-2-12-20000-1-111-111-1-11133−3−333−3−3-1-1-1-111112-20000-1-11133−3−333−3−32-2000000000000-1-11133−3−333−3−30000000000000000
χ382222-2-2-2-22-122-2112-2-1-1-1-211-22222-2-2-2-2-12-20000-1-111-111-1-111−3−333−3−333-1-1-1-111112-20000-1-111−3−333−3−3332-2000000000000-1-111−3−333−3−3330000000000000000
χ392222-2-2-2-22-122-2112-2-1-1-1-211-22222-2-2-2-2-1-220000-1-111-11111-1-133−3−3−3−333-1-1-1-11111-22000011-1-133−3−3−3−333-2200000000000011-1-133−3−3−3−3330000000000000000
χ402222-2-2-2-22-122-2112-2-1-1-1-211-22222-2-2-2-2-1-220000-1-111-11111-1-1−3−33333−3−3-1-1-1-11111-22000011-1-1−3−33333−3−3-2200000000000011-1-1−3−33333−3−30000000000000000
χ412222-2-2-2-22-122-2112-2-1-1-1-211-2-2-2-2-22222-12-20000-1-111-111-1-11133−3−333−3−31111-1-1-1-12-20000-1-11133−3−333−3−3-2200000000000011-1-1−3−333−3−3330000000000000000
χ422222-2-2-2-22-122-2112-2-1-1-1-211-2-2-2-2-22222-12-20000-1-111-111-1-111−3−333−3−3331111-1-1-1-12-20000-1-111−3−333−3−333-2200000000000011-1-133−3−333−3−30000000000000000
χ432222-2-2-2-22-122-2112-2-1-1-1-211-2-2-2-2-22222-1-220000-1-111-11111-1-133−3−3−3−3331111-1-1-1-1-22000011-1-133−3−3−3−3332-2000000000000-1-111−3−33333−3−30000000000000000
χ442222-2-2-2-22-122-2112-2-1-1-1-211-2-2-2-2-22222-1-220000-1-111-11111-1-1−3−33333−3−31111-1-1-1-1-22000011-1-1−3−33333−3−32-2000000000000-1-11133−3−3−3−3330000000000000000
χ4522-2-22-2-2222-2-222-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i2000000-2-22-222-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i000000000000000000002i−2i0000002-2
χ4622-2-22-2-2222-2-222-22-22-2-222-2-22i2i−2i−2i2i2i−2i−2i2000000-2-22-222-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i00000000000000000000−2i2i000000-22
χ4722-2-22-2-2222-2-222-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2000000-2-22-222-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i000000000000000000002i−2i000000-22
χ4822-2-22-2-2222-2-222-22-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i2000000-2-22-222-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i00000000000000000000−2i2i0000002-2
χ4922-2-2-222-222-2-2-2-22222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2000000-2-2-222-220000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000002-2000000000000000000002-20000002i−2i00
χ5022-2-2-222-222-2-2-2-22222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2000000-2-2-222-220000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000-2200000000000000000000-22000000−2i2i00
χ5122-2-2-222-222-2-2-2-22222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2000000-2-2-222-22000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000002-2000000000000000000002-2000000−2i2i00
χ5222-2-2-222-222-2-2-2-22222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2000000-2-2-222-22000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000-2200000000000000000000-220000002i−2i00
χ532-22-222-2-2222-2-2-22-2-2-22-222-222i−2i2i−2i2i−2i2i−2i2002-2002-2-22-22-200002-22-200002i−2i2i−2i2i−2i2i−2i00002-200002-22-200000000000000002i−2i00002i−2i2i−2i00000000000000000000
χ542-22-222-2-2222-2-2-22-2-2-22-222-222i−2i2i−2i2i−2i2i−2i200-22002-2-22-22-20000-22-2200002i−2i2i−2i2i−2i2i−2i0000-220000-22-220000000000000000−2i2i0000−2i2i−2i2i00000000000000000000
χ552-22-222-2-2222-2-2-22-2-2-22-222-22−2i2i−2i2i−2i2i−2i2i2002-2002-2-22-22-200002-22-20000−2i2i−2i2i−2i2i−2i2i00002-200002-22-20000000000000000−2i2i0000−2i2i−2i2i00000000000000000000
χ562-22-222-2-2222-2-2-22-2-2-22-222-22−2i2i−2i2i−2i2i−2i2i200-22002-2-22-22-20000-22-220000−2i2i−2i2i−2i2i−2i2i0000-220000-22-2200000000000000002i−2i00002i−2i2i−2i00000000000000000000
χ572-22-222-2-22-12-2-21-1-2-21-112-1122i−2i2i−2i2i−2i2i−2i-1002-200-111-11-113−33−3-11-113−33−3−ii−ii−ii−ii00002-23−33−3-11-113−33−30000000000002i−2i−i3i3−i3i3−ii−ii−i3i3−i3i30000000000000000
χ582-22-222-2-22-12-2-21-1-2-21-112-1122i−2i2i−2i2i−2i2i−2i-1002-200-111-11-11−33−33-11-11−33−33−ii−ii−ii−ii00002-2−33−33-11-11−33−330000000000002i−2ii3−i3i3−i3−ii−iii3−i3i3−i30000000000000000
χ592-22-222-2-22-12-2-21-1-2-21-112-1122i−2i2i−2i2i−2i2i−2i-100-2200-111-11-113−33−31-11-1−33−33−ii−ii−ii−ii0000-223−33−31-11-1−33−33000000000000−2i2i−i3i3−i3i3i−ii−ii3−i3i3−i30000000000000000
χ602-22-222-2-22-12-2-21-1-2-21-112-1122i−2i2i−2i2i−2i2i−2i-100-2200-111-11-11−33−331-11-13−33−3−ii−ii−ii−ii0000-22−33−331-11-13−33−3000000000000−2i2ii3−i3i3−i3i−ii−i−i3i3−i3i30000000000000000
χ612-22-222-2-22-12-2-21-1-2-21-112-112−2i2i−2i2i−2i2i−2i2i-1002-200-111-11-113−33−3-11-113−33−3i−ii−ii−ii−i00002-23−33−3-11-113−33−3000000000000−2i2ii3−i3i3−i3i−ii−ii3−i3i3−i30000000000000000
χ622-22-222-2-22-12-2-21-1-2-21-112-112−2i2i−2i2i−2i2i−2i2i-1002-200-111-11-11−33−33-11-11−33−33i−ii−ii−ii−i00002-2−33−33-11-11−33−33000000000000−2i2i−i3i3−i3i3i−ii−i−i3i3−i3i30000000000000000
χ632-22-222-2-22-12-2-21-1-2-21-112-112−2i2i−2i2i−2i2i−2i2i-100-2200-111-11-113−33−31-11-1−33−33i−ii−ii−ii−i0000-223−33−31-11-1−33−330000000000002i−2ii3−i3i3−i3−ii−ii−i3i3−i3i30000000000000000
χ642-22-222-2-22-12-2-21-1-2-21-112-112−2i2i−2i2i−2i2i−2i2i-100-2200-111-11-11−33−331-11-13−33−3i−ii−ii−ii−i0000-22−33−331-11-13−33−30000000000002i−2i−i3i3−i3i3−ii−iii3−i3i3−i30000000000000000
χ652-22-2-2-222222-222-2-22-22-2-2-22-22i−2i2i−2i−2i2i−2i2i200002-22-22-2-2-22000000002-2-222i−2i2i−2i−2i2i−2i2i002-200000000002-2-22002i−2i000000000000000000−2i2i2i−2i0000000000000000
χ662-22-2-2-222222-222-2-22-22-2-2-22-22i−2i2i−2i−2i2i−2i2i20000-222-22-2-2-2200000000-222-22i−2i2i−2i−2i2i−2i2i00-220000000000-222-200−2i2i0000000000000000002i−2i−2i2i0000000000000000
χ672-22-2-2-222222-222-2-22-22-2-2-22-2−2i2i−2i2i2i−2i2i−2i200002-22-22-2-2-22000000002-2-22−2i2i−2i2i2i−2i2i−2i002-200000000002-2-2200−2i2i0000000000000000002i−2i−2i2i0000000000000000
χ682-22-2-2-222222-222-2-22-22-2-2-22-2−2i2i−2i2i2i−2i2i−2i20000-222-22-2-2-2200000000-222-2−2i2i−2i2i2i−2i2i−2i00-220000000000-222-2002i−2i000000000000000000−2i2i2i−2i0000000000000000
χ692-22-2-2-2222-12-22-11-221-11-21-1-22i−2i2i−2i−2i2i−2i2i-100002-2-11-1111-13−3−33−333−3-111-1−ii−iii−ii−i002-2003−3−33−333−3-111-1002i−2i0000000000−i3i3i3−i3−i3i3i3−i3i−i−ii0000000000000000
χ702-22-2-2-2222-12-22-11-221-11-21-1-22i−2i2i−2i−2i2i−2i2i-100002-2-11-1111-1−333−33−3−33-111-1−ii−iii−ii−i002-200−333−33−3−33-111-1002i−2i0000000000i3−i3−i3i3i3−i3−i3i3i−i−ii0000000000000000
χ712-22-2-2-2222-12-22-11-221-11-21-1-22i−2i2i−2i−2i2i−2i2i-10000-22-11-1111-13−3−333−3−331-1-11−ii−iii−ii−i00-22003−3−333−3−331-1-1100−2i2i0000000000−i3i3i3−i3i3−i3−i3i3−iii−i0000000000000000
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χ772-2-222-22-222-22-2-2-2-22-2-22222-22-2-222-2-222000000-22-2-2-2220000000000002-2-222-2-220000000000000000000000002i−2i000000000000000000002i−2i0000002i−2i0000
χ782-2-222-22-222-22-2-2-2-22-2-22222-22-2-222-2-222000000-22-2-2-2220000000000002-2-222-2-22000000000000000000000000−2i2i00000000000000000000−2i2i000000−2i2i0000
χ792-2-222-22-222-22-2-2-2-22-2-22222-2-222-2-222-22000000-22-2-2-222000000000000-222-2-222-20000000000000000000000002i−2i000000000000000000002i−2i000000−2i2i0000
χ802-2-222-22-222-22-2-2-2-22-2-22222-2-222-2-222-22000000-22-2-2-222000000000000-222-2-222-2000000000000000000000000−2i2i00000000000000000000−2i2i0000002i−2i0000
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
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χ9544-4-44-4-444-2-4-44-224-4-2224-22-44i4i−4i−4i4i4i−4i−4i-200000022-22-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
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χ1124-44-4-4-444-2-2-22-2-222-22-2222-2200000000100004-41-11-1-1-11−232323−2323−23−2323-222-20000000000-22003−3−33−333−31-1-11000000000000000000000000000000000000000000
χ1134-44-4-4-444-2-2-22-2-222-22-2222-220000000010000-441-11-1-1-1123−23−232323−23−23232-2-2200000000002-200−333−3−333−3-111-1000000000000000000000000000000000000000000
χ1144-44-4-4-444-2-2-22-2-222-22-2222-220000000010000-441-11-1-1-11−232323−23−232323−232-2-2200000000002-2003−3−333−3−33-111-1000000000000000000000000000000000000000000
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χ1204-4-44-44-444-2-444-2-2-4-422-2-4224-444-44-4-44-20000002-2-2-22220000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
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χ12488-8-8-888-8-4-44444-4-4-4-44444-4-4000000002000000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-88-88-4-44-4-4-4-44444-4444-4000000002000000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).