Finite Group Databasebeta

← Group #11785463

Character table — Group #11785463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122244442233446666661212121212121212366666661212121212121212668812122424242424242424242424242424242422446666888812121212242424242424242488882424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-11-1-11111-1-1-1-1111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111-1-111-1-1-1-11111−ii−ii−i−iii−i−iii11-1-1i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-111i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-11-1-11111-1-1-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111-1-111-1-1-1-11111i−ii−iii−i−iii−i−i11-1-1−ii
χ1722222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000002200-1-1-1-10000000000
χ1822222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000111100000000-2-20011110000000000
χ1922222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-211-2-211111111112222-1-1-1-10000-1-1-1-100000000-2-20011110000000000
χ2022222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-1-2-211-2-21111111111-2-2-2-2111100001111000000002200-1-1-1-10000000000
χ212222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ222222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100-2-200001111000000
χ232222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-2-2-1-111-2-211-2-2111111110000000022220000-1-1-1-1-1-1-1-100-2-200001111000000
χ242222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-2-2-1-111-2-211-2-21111111100000000-2-2-2-200001111111100220000-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-200-2-200000000000000002-2-2222-2-20000-2-22200000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-2222-2-2-22222-2-2-200-2-20000000000000000-222-2-2-222000022-2-200000000000000000000000000
χ2722222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i32-2-22-1-111000011-1-1000000000000−i3i3−i3i30000000000
χ2822222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-211001100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3-222-211-1-10000-1-111000000000000i3−i3i3−i30000000000
χ2922222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i32-2-22-1-111000011-1-1000000000000i3−i3i3−i30000000000
χ3022222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-211-1-1-1-1-211001100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3-222-211-1-10000-1-111000000000000−i3i3−i3i30000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000022-2-222220000-2-2-2-200000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000-2-222-2-2-2-20000222200000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-1-10011003−300−3333−3−3−3−33322-2-2-1-1-1-1000011110000000000003−3−330000000000
χ342222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-1-10011003−300−3333−3−3−3−333-2-22211110000-1-1-1-1000000000000−333−30000000000
χ352222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-1-1001100−33003−3−3−33333−3−322-2-2-1-1-1-100001111000000000000−333−30000000000
χ362222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-2111111-2-1-1001100−33003−3−3−33333−3−3-2-22211110000-1-1-1-10000000000003−3−330000000000
χ372222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii2-22-2-1-1110000-1-111000000002i−2i00−i−iii0000000000
χ382222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-111112112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-22-2211-1-1000011-1-100000000−2i2i00ii−i−i0000000000
χ392222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-11111211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i2-22-2-1-1110000-1-11100000000−2i2i00ii−i−i0000000000
χ402222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12-1-11111211−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-22-2211-1-1000011-1-1000000002i−2i00−i−iii0000000000
χ412222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii0000000022-2-20000-1-1-1-11111002i−2i0000−i−iii000000
χ422222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-1112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii00000000-2-22200001111-1-1-1-100−2i2i0000ii−i−i000000
χ432222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i0000000022-2-20000-1-1-1-1111100−2i2i0000ii−i−i000000
χ442222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1-1221111-111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000-2-22200001111-1-1-1-1002i−2i0000−i−iii000000
χ452-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-22-2-2-2222-222-2-2-22-2002-20000000000000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000
χ462-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-22-2-2-2222-222-2-2-22-2002-2000000000000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ472-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111-1100-113−3003−3003−33−33−33−3000000002i−2i2i−2i0000−i−iii−i−iii00000000−i3i3−i3i3000000
χ482-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111-1100-113−3003−3003−33−33−33−300000000−2i2i−2i2i0000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ492-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111-1100-11−3300−3300−33−33−33−33000000002i−2i2i−2i0000−i−iii−i−iii00000000i3−i3i3−i3000000
χ502-2-2222-2-22-2-122-211-2-2-1211-2-2-1-122-1-112-211-1-12-2-1-1111-1100-11−3300−3300−33−33−33−3300000000−2i2i−2i2i0000ii−i−iii−i−i00000000−i3i3−i3i3000000
χ512-2-2222-2-2-2222-22-2-2-2-222-2-2-2-222222-22-22-2-22-2-2222-2-22-2200-2200000000000000000000000000000000000000000000000000002-22-200
χ522-2-2222-2-2-2222-22-2-2-2-222-2-2-2-222222-22-22-2-22-2-2222-2-22-2200-220000000000000000000000000000000000000000000000000000-22-2200
χ532-2-22-2-2222-222-22-2-2-2-2222222-2-2-2-222-22-2-2-22-2-22-2-22222-200-2200000000000000000000000000000000000000000000000000002-2-2200
χ542-2-22-2-2222-222-22-2-2-2-2222222-2-2-2-222-22-2-2-22-2-22-2-22222-200-220000000000000000000000000000000000000000000000000000-222-200
χ552-2-22-2-222-22222-2-2-2-2-2222222-2-2-2-22-22-22-2-2222-2-2-222-2-22002-20000000000000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000
χ562-2-22-2-222-22222-2-2-2-2-2222222-2-2-2-22-22-22-2-2222-2-2-222-2-22002-2000000000000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ572-2-22-2-222-22-122-211-2-2-12-1-12211-2-2-11-1-2211-1-12-211-1-111-100-11−i3i300i3−i300−i3i3−i3i3i3−i3i3−i3000000002i−2i−2i2i0000−i−iiiii−i−i00000000−333−3000000
χ582-2-22-2-222-22-122-211-2-2-12-1-12211-2-2-11-1-2211-1-12-211-1-111-100-11−i3i300i3−i300−i3i3−i3i3i3−i3i3−i300000000−2i2i2i−2i0000ii−i−i−i−iii000000003−3−33000000
χ592-2-22-2-222-22-122-211-2-2-12-1-12211-2-2-11-1-2211-1-12-211-1-111-100-11i3−i300−i3i300i3−i3i3−i3−i3i3−i3i3000000002i−2i−2i2i0000−i−iiiii−i−i000000003−3−33000000
χ602-2-22-2-222-22-122-211-2-2-12-1-12211-2-2-11-1-2211-1-12-211-1-111-100-11i3−i300−i3i300i3−i3i3−i3−i3i3−i3i300000000−2i2i2i−2i0000ii−i−i−i−iii00000000−333−3000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-21111-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ6544444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211122211112-1-100-1-1002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
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χ684444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2-2111222-1-1-1-121100-1-100−23230023−2333−3−3−3−333000000000000000000000000000000000000000000
χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-2-1-14i−4i11−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111-2-2-2-1-1-1-1-2-1-1−4i4i112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ7144-4-44i−4i4i−4i0044004-44-4-4-44i−4i4i−4i4i−4i4i−4i400004-4-40004i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000
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χ7644-4-4−4i4i−4i4i0044004-44-4-4-4−4i4i−4i4i−4i4i−4i4i400004-4-4000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000
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χ7844-4-4−4i4i−4i4i004-2004-4-22-42−4i4i2i−2i−4i4i2i−2i-20000-2220002i−2i2i−2i0000000000000000000000000002i3−2i30000000023−2300000000000000000000000000
χ7944-4-4−4i4i−4i4i00-2400-224-42-42i−2i−4i4i2i−2i−4i4i-20000-2220002i−2i2i−2i000000000000000000000000000000000000000i6−i6i6−i6−66−66000000000000000000
χ8044-4-4−4i4i−4i4i00-2400-224-42-42i−2i−4i4i2i−2i−4i4i-20000-2220002i−2i2i−2i000000000000000000000000000000000000000−i6i6−i6i66−66−6000000000000000000
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χ834-44-44i−4i−4i4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-22000−2i2i2i−2i000000000000000000000000000002i3−2i30000−23230000000000000000000000000000
χ844-44-44i−4i−4i4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-22000−2i2i2i−2i0000000000000000000000000000000000000006−6−66−i6i6i6−i6000000000000000000
χ854-44-44i−4i−4i4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-22000−2i2i2i−2i000000000000000000000000000000000000000−666−6i6−i6−i6i6000000000000000000
χ864-44-4−4i4i4i−4i004400-44-44-4-44i−4i4i−4i−4i4i−4i4i40000-44-4000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000
χ874-44-4−4i4i4i−4i004-200-442-2-424i−4i−2i2i−4i4i2i−2i-200002-220002i−2i−2i2i00000000000000000000000000000−2i32i30000−23230000000000000000000000000000
χ884-44-4−4i4i4i−4i004-200-442-2-424i−4i−2i2i−4i4i2i−2i-200002-220002i−2i−2i2i000000000000000000000000000002i3−2i3000023−230000000000000000000000000000
χ894-44-4−4i4i4i−4i00-24002-2-442-4−2i2i4i−4i2i−2i−4i4i-200002-220002i−2i−2i2i0000000000000000000000000000000000000006−6−66i6−i6−i6i6000000000000000000
χ904-44-4−4i4i4i−4i00-24002-2-442-4−2i2i4i−4i2i−2i−4i4i-200002-220002i−2i−2i2i000000000000000000000000000000000000000−666−6−i6i6i6−i6000000000000000000
χ914-4-4444-4-44-44-24-4-4-4224-2-4-42244-2-2-24-4-2222-24-22-2-222-4-2200-220000000000000000000000000000000000000000000000000000000000
χ924-4-4444-4-44-4-2-24-42222-2-22222-2-2-2-21-22-22-1-11-2-2211-1-121-1001-123−230023−2300−33−33−33−33000000000000000000000000000000000000000000
χ934-4-4444-4-44-4-2-24-42222-2-22222-2-2-2-21-22-22-1-11-2-2211-1-121-1001-1−232300−2323003−33−33−33−3000000000000000000000000000000000000000000
χ944-4-4444-4-4-444-2-44-4-4224-2-4-42244-2-2-2-442-222-2-42-2-2-22242-2002-20000000000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-44-24-4422-4-4-2422-4-4-2-244-22-2-4422-22-44-2-222-22-2002-20000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-44-2-2-442222-2-22222-2-2-2-212-22-2-1-1122-211-1-1-2-1100-11000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ974-4-4444-4-4-44-2-2-442222-2-22222-2-2-2-212-22-2-1-1122-211-1-1-2-1100-1100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ984-4-44-4-4444-44-2-44-4-4224-244-2-2-4-422-24-4-2222-2-42-222-2-24-22002-20000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-4444-4-24-4422-4-4-24-2-24422-4-4-2-224-422-22-4422-2-2-2-22002-20000000000000000000000000000000000000000000000000000000000
χ1004-4-44-4-4444-4-2-2-442222-2-2-2-2-2-222221-22-22-1-1122-2-1-111-21-100-11000000003-3-33-333-3000000000000000000000000000000000000000000
χ1014-4-44-4-4444-4-2-2-442222-2-2-2-2-2-222221-22-22-1-1122-2-1-111-21-100-1100000000-333-33-3-33000000000000000000000000000000000000000000
χ1024-4-44-4-444-444-24-4-4-4224-244-2-2-4-422-2-442-222-24-2222-2-2-42-200-220000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-444-44-2-24-42222-2-2-2-2-2-2222212-22-2-1-11-2-22-1-1112-11001-1−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1044-4-44-4-444-44-2-24-42222-2-2-2-2-2-2222212-22-2-1-11-2-22-1-1112-11001-12i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ10588-8-88i−8i8i−8i00-4-400-44-4444−4i4i−4i4i−4i4i−4i4i200002-2-20002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i200002-2-2000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88i−8i−8i8i00-4-4004-44-4444i−4i4i−4i−4i4i−4i4i20000-22-20002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i00-4-4004-44-444−4i4i−4i4i4i−4i4i−4i20000-22-2000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000

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