Finite Group Databasebeta

← Group #10896462

Character table — Group #10896462

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212124444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111111-1-1-1-1111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ17222222222-2-222222222-2-2222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2422222222-1222222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2722222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2922222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3022222222-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3122222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3222222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ3322222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3422222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-2-22-2-222222-2-20000-2-222-2-2-22-2000000002-200000022-2-222-2-20000000022-2-200002-22-200002-22-22-22-2000000000000000000000000
χ38222-2-22-2-222222-2-20000-2-222-2-2-22-2000000002-200000022-2-222-2-20000000022-2-20000-22-220000-22-22-22-22000000000000000000000000
χ39222-2-22-2-2222-2-2220000-2-222-2-2-22-200000000-2200000022-2-2-2-22200000000-2-22200002-2-2200002-22-2-22-22000000000000000000000000
χ40222-2-22-2-2222-2-2220000-2-222-2-2-22-200000000-2200000022-2-2-2-22200000000-2-2220000-222-20000-22-222-22-2000000000000000000000000
χ41222-2-22-2-22-2-222-2-200002222-2-2-22-200000000-22000000-2-222-2-2220000000022-2-2000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ42222-2-22-2-22-2-222-2-200002222-2-2-22-200000000-22000000-2-222-2-2220000000022-2-200000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ43222-2-22-2-22-2-2-2-22200002222-2-2-22-2000000002-2000000-2-22222-2-200000000-2-222000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ44222-2-22-2-22-2-2-2-22200002222-2-2-22-2000000002-2000000-2-22222-2-200000000-2-22200000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ45222-2-22-2-2-12222-2-20000-2-2-1-1111-113333−3−3−3−32-2000000-1-111-1-11133−3−333−3−3-1-11133−3−32-22-20000-11-11-11-113−3−333−3−330000000000000000
χ46222-2-22-2-2-12222-2-20000-2-2-1-1111-113333−3−3−3−32-2000000-1-111-1-11133−3−333−3−3-1-11133−3−3-22-2200001-11-11-11-1−333−3−333−30000000000000000
χ47222-2-22-2-2-12222-2-20000-2-2-1-1111-11−3−3−3−333332-2000000-1-111-1-111−3−333−3−333-1-111−3−3332-22-20000-11-11-11-11−333−3−333−30000000000000000
χ48222-2-22-2-2-12222-2-20000-2-2-1-1111-11−3−3−3−333332-2000000-1-111-1-111−3−333−3−333-1-111−3−333-22-2200001-11-11-11-13−3−333−3−330000000000000000
χ49222-2-22-2-2-122-2-2220000-2-2-1-1111-113333−3−3−3−3-22000000-1-11111-1-133−3−3−3−33311-1-1−3−3332-2-220000-11-111-11-13−3−33−333−30000000000000000
χ50222-2-22-2-2-122-2-2220000-2-2-1-1111-113333−3−3−3−3-22000000-1-11111-1-133−3−3−3−33311-1-1−3−333-222-200001-11-1-11-11−333−33−3−330000000000000000
χ51222-2-22-2-2-122-2-2220000-2-2-1-1111-11−3−3−3−33333-22000000-1-11111-1-1−3−33333−3−311-1-133−3−32-2-220000-11-111-11-1−333−33−3−330000000000000000
χ52222-2-22-2-2-122-2-2220000-2-2-1-1111-11−3−3−3−33333-22000000-1-11111-1-1−3−33333−3−311-1-133−3−3-222-200001-11-1-11-113−3−33−333−30000000000000000
χ53222-2-22-2-2-1-2-222-2-2000022-1-1111-113333−3−3−3−3-2200000011-1-111-1-1−3−333−3−333-1-11133−3−300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−ii−ii−ii−ii0000000000000000
χ54222-2-22-2-2-1-2-222-2-2000022-1-1111-113333−3−3−3−3-2200000011-1-111-1-1−3−333−3−333-1-11133−3−30000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−ii−ii−ii−i0000000000000000
χ55222-2-22-2-2-1-2-222-2-2000022-1-1111-11−3−3−3−33333-2200000011-1-111-1-133−3−333−3−3-1-111−3−33300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−ii−ii−ii−ii0000000000000000
χ56222-2-22-2-2-1-2-222-2-2000022-1-1111-11−3−3−3−33333-2200000011-1-111-1-133−3−333−3−3-1-111−3−3330000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−ii−ii−ii−i0000000000000000
χ57222-2-22-2-2-1-2-2-2-222000022-1-1111-113333−3−3−3−32-200000011-1-1-1-111−3−33333−3−311-1-1−3−33300002i−2i−2i2i−i3i3i3−i3i3−i3−i3i3−ii−iii−ii−i0000000000000000
χ58222-2-22-2-2-1-2-2-2-222000022-1-1111-113333−3−3−3−32-200000011-1-1-1-111−3−33333−3−311-1-1−3−3330000−2i2i2i−2ii3−i3−i3i3−i3i3i3−i3i−ii−i−ii−ii0000000000000000
χ59222-2-22-2-2-1-2-2-2-222000022-1-1111-11−3−3−3−333332-200000011-1-1-1-11133−3−3−3−33311-1-133−3−300002i−2i−2i2ii3−i3−i3i3−i3i3i3−i3−ii−iii−ii−i0000000000000000
χ60222-2-22-2-2-1-2-2-2-222000022-1-1111-11−3−3−3−333332-200000011-1-1-1-11133−3−3−3−33311-1-133−3−30000−2i2i2i−2i−i3i3i3−i3i3−i3−i3i3i−ii−i−ii−ii0000000000000000
χ6122-22-2-2-2222-200002i2i−2i−2i2-22-22-2-2-222i2i−2i−2i2i2i−2i−2i002i−2i00002-22-200002i−2i2i−2i000000000000000000000000000000000000002i−2i2-20000000000
χ6222-22-2-2-2222-200002i2i−2i−2i2-22-22-2-2-222i2i−2i−2i2i2i−2i−2i002i−2i00002-22-200002i−2i2i−2i00000000000000000000000000000000000000−2i2i-220000000000
χ6322-22-2-2-2222-20000−2i−2i2i2i2-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i00−2i2i00002-22-20000−2i2i−2i2i000000000000000000000000000000000000002i−2i-220000000000
χ6422-22-2-2-2222-20000−2i−2i2i2i2-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i00−2i2i00002-22-20000−2i2i−2i2i00000000000000000000000000000000000000−2i2i2-20000000000
χ6522-22-2-2-222-2200002i2i−2i−2i-222-22-2-2-222i2i−2i−2i2i2i−2i−2i00−2i2i0000-22-220000−2i2i−2i2i0000000000000000000000000000000000002i−2i00002-200000000
χ6622-22-2-2-222-2200002i2i−2i−2i-222-22-2-2-222i2i−2i−2i2i2i−2i−2i00−2i2i0000-22-220000−2i2i−2i2i000000000000000000000000000000000000−2i2i0000-2200000000
χ6722-22-2-2-222-220000−2i−2i2i2i-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i002i−2i0000-22-2200002i−2i2i−2i0000000000000000000000000000000000002i−2i0000-2200000000
χ6822-22-2-2-222-220000−2i−2i2i2i-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i002i−2i0000-22-2200002i−2i2i−2i000000000000000000000000000000000000−2i2i00002-200000000
χ692-2-2-2-22222002-22-22-22-200-2-2-22-2222-22-22-22-20000002-200000000000000002-22-22-22-2000000000000000000000000000000002−22−22−22−2
χ702-2-2-2-22222002-22-22-22-200-2-2-22-2222-22-22-22-20000002-200000000000000002-22-22-22-200000000000000000000000000000000−22−22−22−22
χ712-2-2-2-22222002-22-2-22-2200-2-2-22-222-22-22-22-22000000-2200000000000000002-22-2-22-22000000000000000000000000000000002−22−2−22−22
χ722-2-2-2-22222002-22-2-22-2200-2-2-22-222-22-22-22-22000000-2200000000000000002-22-2-22-2200000000000000000000000000000000−22−222−22−2
χ732-2-2-2-2222200-22-222-22-200-2-2-22-2222-22-22-22-2000000-220000000000000000-22-22-22-22000000000000000000000000000000002−2−222−2−22
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χ752-2-2-2-2222200-22-22-22-2200-2-2-22-222-22-22-22-220000002-20000000000000000-22-222-22-2000000000000000000000000000000002−2−22−222−2
χ762-2-2-2-2222200-22-22-22-2200-2-2-22-222-22-22-22-220000002-20000000000000000-22-222-22-200000000000000000000000000000000−222−22−2−22
χ7744-44-4-4-44-24-400004i4i−4i−4i4-4-22-2222-2−2i−2i2i2i−2i−2i2i2i004i−4i0000-22-220000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
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χ8044-44-4-4-44-2-440000−4i−4i4i4i-44-22-2222-22i2i−2i−2i2i2i−2i−2i004i−4i00002-22-20000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
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χ8544-4-44-44-4-2-44000000004-4-222-2-222−2i3−2i32i32i32i32i3−2i3−2i3000000002-2-2200002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ8644-4-44-44-4-2-44000000004-4-222-2-2222i32i3−2i3−2i3−2i3−2i32i32i3000000002-2-220000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ874-444-4-44-44000000000000-4444-4-4-40000000000004-4000000000000004-44-4000000000000000000000000000000000000000000000000
χ884-444-4-44-44000000000000-4444-4-4-4000000000000-4400000000000000-44-44000000000000000000000000000000000000000000000000
χ894-444-4-44-4-20000000000002-2-2-2222−2i32i32i3−2i32i3−2i3−2i32i300004-4000000−2i32i3−2i32i30000-22-22000000000000000000000000000000000000000000000000
χ904-444-4-44-4-20000000000002-2-2-2222−2i32i32i3−2i32i3−2i3−2i32i30000-440000002i3−2i32i3−2i300002-22-2000000000000000000000000000000000000000000000000
χ914-444-4-44-4-20000000000002-2-2-22222i3−2i3−2i32i3−2i32i32i3−2i300004-40000002i3−2i32i3−2i30000-22-22000000000000000000000000000000000000000000000000
χ924-444-4-44-4-20000000000002-2-2-22222i3−2i3−2i32i3−2i32i32i3−2i30000-44000000−2i32i3−2i32i300002-22-2000000000000000000000000000000000000000000000000
χ934-44-44-4-4440000004i−4i−4i4i00-44-4-44-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-4-444000000−4i4i4i−4i00-44-4-44-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-4-44-20000004i−4i−4i4i002-222-22-2−2i2i2i−2i−2i2i2i−2i000000000000−2i32i32i3−2i3000023−23−2323000000000000000000000000000000000000000000000000
χ964-44-44-4-44-20000004i−4i−4i4i002-222-22-2−2i2i2i−2i−2i2i2i−2i0000000000002i3−2i3−2i32i30000−232323−23000000000000000000000000000000000000000000000000
χ974-44-44-4-44-2000000−4i4i4i−4i002-222-22-22i−2i−2i2i2i−2i−2i2i000000000000−2i32i32i3−2i30000−232323−23000000000000000000000000000000000000000000000000
χ984-44-44-4-44-2000000−4i4i4i−4i002-222-22-22i−2i−2i2i2i−2i−2i2i0000000000002i3−2i3−2i32i3000023−23−2323000000000000000000000000000000000000000000000000
χ994-4-4444-4-44004-4-44000000-4-44-444-4000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ1004-4-4444-4-4400-444-4000000-4-44-444-400000000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2004-4-4400000022-22-2-2223−2323−23−2323−2323000000000000000000000000-222-223−23−23230000000000000000000000000000000000000000
χ1024-4-4444-4-4-2004-4-4400000022-22-2-22−2323−232323−2323−23000000000000000000000000-222-2−232323−230000000000000000000000000000000000000000
χ1034-4-4444-4-4-200-444-400000022-22-2-2223−2323−23−2323−23230000000000000000000000002-2-22−232323−230000000000000000000000000000000000000000
χ1044-4-4444-4-4-200-444-400000022-22-2-22−2323−232323−2323−230000000000000000000000002-2-2223−23−23230000000000000000000000000000000000000000
χ1054-4-4-4-4444-2004-44-44-44-400222-22-2-2-22-22-22-220000004-40000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1064-4-4-4-4444-2004-44-4-44-4400222-22-2-22-22-22-22-2000000-440000000000000000-22-222-22-20000000000000000000000000000000000000000
χ1074-4-4-4-4444-200-44-444-44-400222-22-2-2-22-22-22-22000000-4400000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1084-4-4-4-4444-200-44-44-44-4400222-22-2-22-22-22-22-20000004-400000000000000002-22-2-22-220000000000000000000000000000000000000000

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