Finite Group Databasebeta

← Group #11817822

Character table — Group #11817822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212444444441212121212121212121212121212121212121212121212121212444444441212121212121212121212122466121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-1-11111-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-111-1-1-1-111-1-1111-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-11
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11-11111-1-1-1-111-1-11-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111-11
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ17222222222-122-1-1-12-1222-1-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122-1-1-12-1222-1-1-12-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-211111111000000
χ19222222222-122-1-1-12-1222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-111111111000022-2-2000000000000-2211-1-1-1-111000000
χ20222222222-122-1-1-12-1222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-1111111110000-2-2220000000000002-2-1-11111-1-1000000
χ21222222222-122-1-1-12-1222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-1111100002222000000000000-2-211-1-111-1-1000000
χ22222222222-122-1-1-12-1222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000000000000011-1-1111111-1-1-1-111110000-2-2-2-200000000000022-1-111-1-111000000
χ23222222222-122-1-1-12-1222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-1000022-2-20000000000002-2-1-1-1-11111000000
χ24222222222-122-1-1-12-1222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000000000001111-1-111111111-1-1-1-10000-2-222000000000000-221111-1-1-1-1000000
χ2522222222-12-1-1222-12-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1222-12-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111111110000000000000000
χ2722222222-12-1-1222-12-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-21111111122-2-2-2-2-1-1-1-111111111-2-22200001111-1-1-1-1-1-1-1-10000000000000000
χ2822222222-12-1-1222-12-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-20000-1-1-1-1111111110000000000000000
χ2922222222-12-1-1222-12-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-2-2-200001111-1-1-1-111110000000000000000
χ3022222222-12-1-1222-12-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-222-2-21111-1-1-1-1111122220000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1222-12-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-211111111-2-2-2-22211111111-1-1-1-122-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1222-12-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-222000011111111-1-1-1-10000000000000000
χ33222-2-2-2-22222-22-2-2222-2-2-2-22-222-200002-2-2-2-22222-2-2000000002i2i−2i−2i0000000000002-2000022-2-200000000002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ34222-2-2-2-22222-22-2-2222-2-2-2-22-222-200002-2-2-2-22222-2-200000000−2i−2i2i2i0000000000002-2000022-2-20000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ35222-2-2-2-22222-22-2-2222-2-2-2-22-22-2200002-2-2-2-222-2-222000000002i2i−2i−2i000000000000-220000-2-2220000000000−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ36222-2-2-2-22222-22-2-2222-2-2-2-22-22-2200002-2-2-2-222-2-22200000000−2i−2i2i2i000000000000-220000-2-22200000000002i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ37222-2-2-2-22-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i32i2i−2i−2i00003333−3−3−3−32-20000-1-111−i3−i3i3i3−i3−i3i3i3002i−2i000033−3−3−i−iii−i−iii0000000000000000
χ38222-2-2-2-22-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i3−2i−2i2i2i0000−3−3−3−333332-20000-1-111−i3−i3i3i3−i3−i3i3i300−2i2i0000−3−333ii−i−iii−i−i0000000000000000
χ39222-2-2-2-22-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i32i2i−2i−2i0000−3−3−3−333332-20000-1-111i3i3−i3−i3i3i3−i3−i3002i−2i0000−3−333−i−iii−i−iii0000000000000000
χ40222-2-2-2-22-12-112-2-2-12-111-2-221-12-20000-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i3−2i−2i2i2i00003333−3−3−3−32-20000-1-111i3i3−i3−i3i3i3−i3−i300−2i2i000033−3−3ii−i−iii−i−i0000000000000000
χ41222-2-2-2-22-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i32i2i−2i−2i00003333−3−3−3−3-22000011-1-1−i3−i3i3i3i3i3−i3−i300−2i2i0000−3−333−i−iiiii−i−i0000000000000000
χ42222-2-2-2-22-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3−2i−2i2i2i0000−3−3−3−33333-22000011-1-1−i3−i3i3i3i3i3−i3−i3002i−2i000033−3−3ii−i−i−i−iii0000000000000000
χ43222-2-2-2-22-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i32i2i−2i−2i0000−3−3−3−33333-22000011-1-1i3i3−i3−i3−i3−i3i3i300−2i2i000033−3−3−i−iiiii−i−i0000000000000000
χ44222-2-2-2-22-12-112-2-2-12-111-2-221-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3−2i−2i2i2i00003333−3−3−3−3-22000011-1-1i3i3−i3−i3−i3−i3i3i3002i−2i0000−3−333ii−i−i−i−iii0000000000000000
χ4522-222-2-2-2222-22-2-2-2-2-22-222-222000000222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i000000000000000000002i−2i2-20000
χ4622-222-2-2-2222-22-2-2-2-2-22-222-222000000222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i00000000000000000000−2i2i-220000
χ4722-222-2-2-2222-22-2-2-2-2-22-222-222000000222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i000000000000000000002i−2i-220000
χ4822-222-2-2-2222-22-2-2-2-2-22-222-222000000222-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i00000000000000000000−2i2i2-20000
χ492-222-2-22-222-2-2-22-222-2222-2-2-2200002i−2i-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i000000002i−2i2i−2i2-20000002-22-22i−2i2i−2i00000000000000000000
χ502-222-2-22-222-2-2-22-222-2222-2-2-2200002i−2i-22-22-22-2000000002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i000000002i−2i2i−2i-22000000-22-22−2i2i−2i2i00000000000000000000
χ512-222-2-22-222-2-2-22-222-2222-2-2-220000−2i2i-22-22-22-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i00000000−2i2i−2i2i-22000000-22-222i−2i2i−2i00000000000000000000
χ522-222-2-22-222-2-2-22-222-2222-2-2-220000−2i2i-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i00000000−2i2i−2i2i2-20000002-22-2−2i2i−2i2i00000000000000000000
χ532-222-2-22-2-1211-22-2-121-1-12-2-21-100002i−2i1-11-11-11−i3i3−i3i33−33−3−ii−ii2i−2i2i−2i0000−i3i3−i3i3−i3i3−i3i300002i−2i−i3i3−i3i33−33−3−ii−ii2-2000000-11-11−ii−ii3−33−30000000000000000
χ542-222-2-22-2-1211-22-2-121-1-12-2-21-100002i−2i1-11-11-11−i3i3−i3i33−33−3−ii−ii−2i2i−2i2i0000i3−i3i3−i3i3−i3i3−i300002i−2i−i3i3−i3i33−33−3−ii−ii-220000001-11-1i−ii−i−33−330000000000000000
χ552-222-2-22-2-1211-22-2-121-1-12-2-21-100002i−2i1-11-11-11i3−i3i3−i3−33−33−ii−ii2i−2i2i−2i0000i3−i3i3−i3i3−i3i3−i300002i−2ii3−i3i3−i3−33−33−ii−ii2-2000000-11-11−ii−ii−33−330000000000000000
χ562-222-2-22-2-1211-22-2-121-1-12-2-21-100002i−2i1-11-11-11i3−i3i3−i3−33−33−ii−ii−2i2i−2i2i0000−i3i3−i3i3−i3i3−i3i300002i−2ii3−i3i3−i3−33−33−ii−ii-220000001-11-1i−ii−i3−33−30000000000000000
χ572-222-2-22-2-1211-22-2-121-1-12-2-21-10000−2i2i1-11-11-11−i3i3−i3i3−33−33i−ii−i2i−2i2i−2i0000i3−i3i3−i3i3−i3i3−i30000−2i2i−i3i3−i3i3−33−33i−ii−i-220000001-11-1−ii−ii3−33−30000000000000000
χ582-222-2-22-2-1211-22-2-121-1-12-2-21-10000−2i2i1-11-11-11−i3i3−i3i3−33−33i−ii−i−2i2i−2i2i0000−i3i3−i3i3−i3i3−i3i30000−2i2i−i3i3−i3i3−33−33i−ii−i2-2000000-11-11i−ii−i−33−330000000000000000
χ592-222-2-22-2-1211-22-2-121-1-12-2-21-10000−2i2i1-11-11-11i3−i3i3−i33−33−3i−ii−i2i−2i2i−2i0000−i3i3−i3i3−i3i3−i3i30000−2i2ii3−i3i3−i33−33−3i−ii−i-220000001-11-1−ii−ii−33−330000000000000000
χ602-222-2-22-2-1211-22-2-121-1-12-2-21-10000−2i2i1-11-11-11i3−i3i3−i33−33−3i−ii−i−2i2i−2i2i0000i3−i3i3−i3i3−i3i3−i30000−2i2ii3−i3i3−i33−33−3i−ii−i2-2000000-11-11i−ii−i3−33−30000000000000000
χ612-22-222-2-222-22-2-2222-2-2-2-22-222002i−2i00-2-22-222-200002i−2i−2i2i00002-2-222i−2i2i−2i−2i2i−2i2i2i−2i2i−2i002i−2i0000002i−2i−2i2i00000000000000002-2-2200000000000000000000
χ622-22-222-2-222-22-2-2222-2-2-2-22-222002i−2i00-2-22-222-200002i−2i−2i2i0000-222-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i002i−2i0000002i−2i−2i2i0000000000000000-222-200000000000000000000
χ632-22-222-2-222-22-2-2222-2-2-2-22-22200−2i2i00-2-22-222-20000−2i2i2i−2i00002-2-22−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00−2i2i000000−2i2i2i−2i00000000000000002-2-2200000000000000000000
χ642-22-222-2-222-22-2-2222-2-2-2-22-22200−2i2i00-2-22-222-20000−2i2i2i−2i0000-222-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00−2i2i000000−2i2i2i−2i0000000000000000-222-200000000000000000000
χ652-22-222-2-2-121-1-2-22-12111-22-2-1-1002i−2i0011-11-1-11−i3i3i3−i3−iii−i3−3−332-2-222i−2i2i−2ii−ii−i−ii−ii002i−2i00−i3i3i3−i3−iii−i3−3−3300000000−333−3-111-1−i3i3i3−i30000000000000000
χ662-22-222-2-2-121-1-2-22-12111-22-2-1-1002i−2i0011-11-1-11−i3i3i3−i3−iii−i3−3−33-222-2−2i2i−2i2i−ii−iii−ii−i002i−2i00−i3i3i3−i3−iii−i3−3−33000000003−3−331-1-11i3−i3−i3i30000000000000000
χ672-22-222-2-2-121-1-2-22-12111-22-2-1-1002i−2i0011-11-1-11i3−i3−i3i3−iii−i−333−32-2-222i−2i2i−2ii−ii−i−ii−ii002i−2i00i3−i3−i3i3−iii−i−333−3000000003−3−33-111-1i3−i3−i3i30000000000000000
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χ692-22-222-2-2-121-1-2-22-12111-22-2-1-100−2i2i0011-11-1-11−i3i3i3−i3i−i−ii−333−32-2-22−2i2i−2i2i−ii−iii−ii−i00−2i2i00−i3i3i3−i3i−i−ii−333−3000000003−3−33-111-1−i3i3i3−i30000000000000000
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χ722-22-222-2-2-121-1-2-22-12111-22-2-1-100−2i2i0011-11-1-11i3−i3−i3i3i−i−ii3−3−33-222-22i−2i2i−2ii−ii−i−ii−ii00−2i2i00i3−i3−i3i3i−i−ii3−3−33000000003−3−331-1-11−i3i3i3−i30000000000000000
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χ984-444-4-44-4-2-2222-22-2-22-2-2-2222100004i−4i-11-11-11-1−2i32i3−2i32i323−2323−23−2i2i−2i2i00000000000000000000−2i2ii3−i3i3−i3−33−33i−ii−i000000000000000000000000000000000000
χ994-444-4-44-4-2-2222-22-2-22-2-2-2222100004i−4i-11-11-11-12i3−2i32i3−2i3−2323−2323−2i2i−2i2i00000000000000000000−2i2i−i3i3−i3i33−33−3i−ii−i000000000000000000000000000000000000
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χ1024-44-444-4-44-2-4422-24-2-4-4-42-224-2004i−4i0022-22-2-2200004i−4i−4i4i0000000000000000000000−2i2i000000−2i2i2i−2i0000000000000000000000000000000000000000
χ1034-44-444-4-44-2-4422-24-2-4-4-42-224-200−4i4i0022-22-2-220000−4i4i4i−4i00000000000000000000002i−2i0000002i−2i−2i2i0000000000000000000000000000000000000000
χ1044-44-444-4-4-2-22-222-2-2-22222-22-21004i−4i00-1-11-111-1−2i32i32i3−2i3−2i2i2i−2i23−23−2323000000000000000000−2i2i00i3−i3−i3i3i−i−ii−333−3000000000000000000000000000000000000
χ1054-44-444-4-4-2-22-222-2-2-22222-22-21004i−4i00-1-11-111-12i3−2i3−2i32i3−2i2i2i−2i−232323−23000000000000000000−2i2i00−i3i3i3−i3i−i−ii3−3−33000000000000000000000000000000000000
χ1064-44-444-4-4-2-22-222-2-2-22222-22-2100−4i4i00-1-11-111-1−2i32i32i3−2i32i−2i−2i2i−232323−230000000000000000002i−2i00i3−i3−i3i3−iii−i3−3−33000000000000000000000000000000000000
χ1074-44-444-4-4-2-22-222-2-2-22222-22-2100−4i4i00-1-11-111-12i3−2i3−2i32i32i−2i−2i2i23−23−23230000000000000000002i−2i00−i3i3i3−i3−iii−i−333−3000000000000000000000000000000000000
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χ1114-4-44-44-44-242-2-4-442-4-2-224-442-20000002-222-22-20000000000000000000023−23−232323−23−2323000000000000000000000000000000000000000000000000000000
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χ1134-4-4-44-4444-2-4-42-22-424-442-2-24-200000022-2-222-2000000000000000000000000000000000000000000000000004-4000000000000000000-220000000000
χ1144-4-4-44-4444-2-4-42-22-424-442-2-24-200000022-2-222-200000000000000000000000000000000000000000000000000-440000000000000000002-20000000000
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χ1208-8-8-88-888-4-4444-4444-44-44-4-4-42000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000

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