Finite Group Databasebeta

← Group #10735701

Character table — Group #10735701

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121244444444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ2522222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002i2i−2i−2i000000000000002-2
χ2622222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-200002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−2i−2i2i2i00000000000000-22
χ2722222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002i2i−2i−2i00000000000000-22
χ2822222-2-22-2-2-2-22-2-2222222-2-2-2-2222-2-2-2-20000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−2i−2i2i2i000000000000002-2
χ29222-2-22-2-222-22-2-2-22222-2-222-2-22-2-222-2-222-2-200002i2i−2i−2i00002222-2-2-2-200000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ30222-2-22-2-222-22-2-2-22222-2-222-2-22-2-222-2-222-2-20000−2i−2i2i2i00002222-2-2-2-20000000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ31222-2-22-2-222-22-2-2-22222-2-222-2-22-2-222-2-2-2-22200002i2i−2i−2i0000-2-2-2-222220000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ32222-2-22-2-222-22-2-2-22222-2-222-2-22-2-222-2-2-2-2220000−2i−2i2i2i0000-2-2-2-2222200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ33222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-11122-2-200002i2i−2i−2i0000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32i−2i0000−i−iii−i−iii33−3−333−3−300000000000000000000
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χ35222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-11122-2-20000−2i−2i2i2i0000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−2i2i0000ii−i−iii−i−i−3−333−3−33300000000000000000000
χ36222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-11122-2-20000−2i−2i2i2i0000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i2i0000ii−i−iii−i−i33−3−333−3−300000000000000000000
χ37222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-111-2-22200002i2i−2i−2i00001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i3−2i2i0000−i−iiiii−i−i33−3−3−3−33300000000000000000000
χ38222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-111-2-22200002i2i−2i−2i00001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i2i0000−i−iiiii−i−i−3−33333−3−300000000000000000000
χ39222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-111-2-2220000−2i−2i2i2i00001111-1-1-1-1−i3−i3i3i3−i3−i3i3i3i3i3i3i3−i3−i3−i3−i32i−2i0000ii−i−i−i−iii−3−33333−3−300000000000000000000
χ40222-2-22-2-222-22-2-2-22-1-1-111-1-111-111-1-111-2-2220000−2i−2i2i2i00001111-1-1-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3−i3−i3i3i3i3i32i−2i0000ii−i−i−i−iii33−3−3−3−33300000000000000000000
χ4122-22-22-2-22-22-22-22-222-22-22-22-2-22-22-22-20000000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000002-22-20000002i−2i00000000
χ4222-22-22-2-22-22-22-22-222-22-22-22-2-22-22-22-20000000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000-22-22000000−2i2i00000000
χ4322-22-22-2-22-22-22-22-222-22-22-22-2-22-22-22-2000000000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000002-22-2000000−2i2i00000000
χ4422-22-22-2-22-22-22-22-222-22-22-22-2-22-22-22-2000000000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000-22-220000002i−2i00000000
χ4522-22-2-22-2-22-2222-2-222-22-2-22-22-22-2-22-222i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000002i−2i−2i2i000000002-2000000
χ4622-22-2-22-2-22-2222-2-222-22-2-22-22-22-2-22-222i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000−2i2i2i−2i00000000-22000000
χ4722-22-2-22-2-22-2222-2-222-22-2-22-22-22-2-22-22−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000002i−2i−2i2i00000000-22000000
χ4822-22-2-22-2-22-2222-2-222-22-2-22-22-22-2-22-22−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000−2i2i2i−2i000000002-2000000
χ4922-2-22-2-22-2222-2-22-222-2-22-222-2-2-22-222-22i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000002i2i−2i−2i2-20000000000
χ5022-2-22-2-22-2222-2-22-222-2-22-222-2-2-22-222-22i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000−2i−2i2i2i-220000000000
χ5122-2-22-2-22-2222-2-22-222-2-22-222-2-2-22-222-2−2i2i2i−2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000002i2i−2i−2i-220000000000
χ5222-2-22-2-22-2222-2-22-222-2-22-222-2-2-22-222-2−2i2i2i−2i000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000−2i−2i2i2i2-20000000000
χ532-22-2-2222-22-2-22-22-22-22-2-22-222-222-22-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i000000002-200
χ542-22-2-2222-22-2-22-22-22-22-2-22-222-222-22-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000−2i2i−2i2i00000000-2200
χ552-22-2-2222-22-2-22-22-22-22-2-22-222-222-22-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000002i−2i2i−2i00000000-2200
χ562-22-2-2222-22-2-22-22-22-22-2-22-222-222-22-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i2i−2i2i000000002-200
χ572-2-22-2222-2-222-2-2-222-2-22-222-222-22-2-22-200002i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i00000000002-2002i−2i2i−2i00002-22-2000000000000000000000000
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χ702-2-22-2-2-2222-2-2-22222-2-22-2-2-22-22-2222-2200002-2-2200000000000000002-22-2-22-220000000000000000000000000000000000-222-2000000-220000
χ712-2-22-2-2-2222-2-2-22222-2-22-2-2-22-22-2222-220000-222-20000000000000000-22-222-22-200000000000000000000000000000000002-2-22000000-220000
χ722-2-22-2-2-2222-2-2-22222-2-22-2-2-22-22-2222-220000-222-20000000000000000-22-222-22-20000000000000000000000000000000000-222-20000002-20000
χ732-2-2-222-2-2-2-2-2222222-2-2-22222-222-2-2-2-22000000002-2-222-2-2200000000000000002-2-222-2-2200002-22-2-22000000002-2-2200000000000000000000
χ742-2-2-222-2-2-2-2-2222222-2-2-22222-222-2-2-2-22000000002-2-22-222-20000000000000000-222-2-222-20000-222-2-2200000000-222-200000000000000000000
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χ762-2-2-222-2-2-2-2-2222222-2-2-22222-222-2-2-2-2200000000-222-2-222-20000000000000000-222-2-222-200002-2-222-2000000002-2-2200000000000000000000
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χ782-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-1000000002-2-222-2-22−33−333−33−3−333−3−333−3-111-1-111-100002-2-111-13−3−333−3−33-111-100000000000000000000
χ792-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-1000000002-2-22-222-23−33−3−33−33−333−3−333−31-1-111-1-110000-22-111-1−333−33−3−331-1-1100000000000000000000
χ802-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-1000000002-2-22-222-2−33−333−33−33−3−333−3−331-1-111-1-110000-22-111-13−3−33−333−31-1-1100000000000000000000
χ812-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-100000000-222-22-2-223−33−3−33−333−3−333−3−33-111-1-111-10000-221-1-113−3−333−3−331-1-1100000000000000000000
χ822-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-100000000-222-22-2-22−33−333−33−3−333−3−333−3-111-1-111-10000-221-1-11−333−3−333−31-1-1100000000000000000000
χ832-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-100000000-222-2-222-23−33−3−33−33−333−3−333−31-1-111-1-1100002-21-1-113−3−33−333−3-111-100000000000000000000
χ842-2-2-222-2-2-2-2-222222-1111-1-1-1-11-1-11111-100000000-222-2-222-2−33−333−33−33−3−333−3−331-1-111-1-1100002-21-1-11−333−33−3−33-111-100000000000000000000
χ8544444-4-44-4-4-4-44-4-44-2-2-2-2-22222-2-2-2222200004i4i−4i−4i0000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000
χ8644444-4-44-4-4-4-44-4-44-2-2-2-2-22222-2-2-222220000−4i−4i4i4i00000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000
χ87444-4-4-44-4-4-44-4-4444444-4-4-4-4444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ88444-4-4-44-4-4-44-4-4444-2-2-22222-2-2-22222-2-20000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ89444-4-4-44-4-4-44-4-4444-2-2-22222-2-2-22222-2-2000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9044-44-44-4-44-44-44-44-4-2-22-22-22-222-22-22-220000000000004i4i−4i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ9144-44-44-4-44-44-44-44-4-2-22-22-22-222-22-22-22000000000000−4i−4i4i4i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ9244-44-4-44-4-44-4444-4-4-2-22-222-22-22-222-22-24i−4i4i−4i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9344-44-4-44-4-44-4444-4-4-2-22-222-22-22-222-22-2−4i4i−4i4i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9444-4-444444-4-4-4-44-4-444-4-444-4-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-444444-4-4-4-44-4-4-2-222-2-222-222-2-222-2000000000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000
χ9644-4-444444-4-4-4-44-4-4-2-222-2-222-222-2-222-200000000000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000
χ9744-4-44-4-44-4444-4-44-4-2-222-22-2-2222-22-2-224i−4i−4i4i000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9844-4-44-4-44-4444-4-44-4-2-222-22-2-2222-22-2-22−4i4i4i−4i0000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ994-44444-4-4-444-4-44-4-44-44444-4-4-4-4-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44444-4-4-444-4-44-4-4-22-2-2-2-22222222-2-2-20000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1014-44444-4-4-444-4-44-4-4-22-2-2-2-22222222-2-2-200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1024-4444-44-44-4-44-4-44-44-4444-4444-4-4-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4444-44-44-4-44-4-44-4-22-2-2-22-2-2-2222-22220000000000000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1044-4444-44-44-4-44-4-44-4-22-2-2-22-2-2-2222-222200000000000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1054-44-4-4444-44-4-44-44-4-22-222-22-2-22-2-22-2220000000000004i−4i4i−4i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ1064-44-4-4444-44-4-44-44-4-22-222-22-2-22-2-22-222000000000000−4i4i−4i4i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ1074-44-4-4-4-444-44444-4-44-44-4-4-44-4-4-4444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-44-4-4-4-444-44444-4-4-22-2222-2222-2-2-22-2-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1094-44-4-4-4-444-44444-4-4-22-2222-2222-2-2-22-2-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1104-4-44-4-4-4444-4-4-4444-222-2222-22-22-2-2-22-200004-4-440000000000000000-22-222-22-200000000000000000000000000000000000000000000000000
χ1114-4-44-4-4-4444-4-4-4444-222-2222-22-22-2-2-22-20000-444-400000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000
χ1124-4-4-44-44-4444-44-4-444-4-4-44-4-4-4444-4444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-44-44-4444-44-4-44-2222-2222-2-2-22-2-2-22000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ1144-4-4-44-44-4444-44-4-44-2222-2222-2-2-22-2-2-220000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000

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