Finite Group Databasebeta

← Group #11808525

Character table — Group #11808525

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212124444444412121212121212121212121212121212444422222222666666666666666664466666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ9222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ10222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ11222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000-1-1-1-111110000222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000-1-1-1-111110000
χ12222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000001111-1-1-1-10000222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000001111-1-1-1-10000
χ1322222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-100000000000022222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ1422222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001111111100000000000022222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ1522222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-1111100000000000022222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-11111000000000000
χ1622222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022001111-1-1-1-100000000000022222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022001111-1-1-1-1000000000000
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χ2122-22-22-2-2-12-111-12-2-2-21-2-1122-100-111-1-11133−3−300003333−3−3−3−32i−2i000000−i−iii−i3−i3i3i300000000000022-22-22-2-2-12-111-12-2-2-21-2-1122-100-111-1-11133−3−300003333−3−3−3−32i−2i000000−i−iii−i3−i3i3i3000000000000
χ2222-22-22-2-2-12-111-12-2-2-21-2-1122-100-111-1-11133−3−300003333−3−3−3−3−2i2i000000ii−i−ii3i3−i3−i300000000000022-22-22-2-2-12-111-12-2-2-21-2-1122-100-111-1-11133−3−300003333−3−3−3−3−2i2i000000ii−i−ii3i3−i3−i3000000000000
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χ2522-2-22-2-22222-2-2-22-2-2222-22-2-22002-2-2-2-22200000000000000000000002i−2i0000000000002i2i−2i−2i000022-2-22-2-22222-2-2-22-2-2222-22-2-22002-2-2-2-22200000000000000000000002i−2i0000000000002i2i−2i−2i0000
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χ2822-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i00000000−3−333ii−i−i000022-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i00000000−3−333ii−i−i0000
χ2922-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i00000000−3−333−i−iii000022-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i00000000−3−333−i−iii0000
χ3022-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i0000000033−3−3ii−i−i000022-2-22-2-222-12-2-2-2-111-12-1-2211-100-11111-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i0000000033−3−3ii−i−i0000
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χ372-22-222-2-222-22-2-2-22-22-2-222-22200-22-2-222-20000000000000000002i−2i0000000000002i−2i2i−2i000000002-22-222-2-222-22-2-2-22-22-2-222-22200-22-2-222-20000000000000000002i−2i0000000000002i−2i2i−2i00000000
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χ442-2-222-22-222-2-222-2-222-2-2-222-22−2i2i-2-222-22-2−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000002-2-222-22-222-2-222-2-222-2-2-222-22−2i2i-2-222-22-2−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
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χ522-2-222-22-2-1211-1-1-2-2221-21-12-2-1−2i2i11-1-11-11i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000i3−i3−i3i3−333−30000000000002-2-222-22-2-1211-1-1-2-2221-21-12-2-1−2i2i11-1-11-11i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000i3−i3−i3i3−333−3000000000000
χ532-2-2-2-222222-2-22-2-2-22-2222-2-22200-2-22-22-220000000000000000000000000000000000000000002-22-2-2-2-222222-2-22-2-2-22-2222-2-22200-2-22-22-220000000000000000000000000000000000000000002-2
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χ1172-22-222-2-22-1-22-2-21-11-1-21221-1-1001-111-1-1100003−33−33−3−33−333−3002i−2i000000000000−ii−ii−i3i3−i3i30000-22-22-2-222-212-222-11-112-1-2-2-11100-11-1-111-10000−33−33−333−33−3−3300−2i2i000000000000i−ii−ii3−i3i3−i30000
χ1182-22-222-2-22-1-22-2-21-11-1-21221-1-1001-111-1-1100003−33−33−3−33−333−300−2i2i000000000000i−ii−ii3−i3i3−i30000-22-22-2-222-212-222-11-112-1-2-2-11100-11-1-111-10000−33−33−333−33−3−33002i−2i000000000000−ii−ii−i3i3−i3i30000
χ1192-22-222-2-22-1-22-2-21-11-1-21221-1-1001-111-1-110000−33−33−333−33−3−33002i−2i000000000000−ii−iii3−i3i3−i30000-22-22-2-222-212-222-11-112-1-2-2-11100-11-1-111-100003−33−33−3−33−333−300−2i2i000000000000i−ii−i−i3i3−i3i30000
χ1202-22-222-2-22-1-22-2-21-11-1-21221-1-1001-111-1-110000−33−33−333−33−3−3300−2i2i000000000000i−ii−i−i3i3−i3i30000-22-22-2-222-212-222-11-112-1-2-2-11100-11-1-111-100003−33−33−3−33−333−3002i−2i000000000000−ii−iii3−i3i3−i30000
χ1212-2-222-22-222-2-222-2-222-2-2-222-222i−2i-2-222-22-22i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000-222-2-22-22-2-222-2-222-2-2222-2-22-2−2i2i22-2-22-22−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ1222-2-222-22-222-2-222-2-222-2-2-222-22−2i2i-2-222-22-2−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000-222-2-22-22-2-222-2-222-2-2222-2-22-22i−2i22-2-22-222i−2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ1232-2-222-22-22-1-2-22211-1-1-21-22-11-12i−2i11-1-11-112i−2i−2i2i−iii−i−ii−iii−ii−i0000000000000000−i3i3i3−i3−333−30000-222-2-22-22-2122-2-2-1-1112-12-21-11−2i2i-1-111-11-1−2i2i2i−2ii−i−iii−ii−i−ii−ii0000000000000000i3−i3−i3i33−3−330000
χ1242-2-222-22-22-1-2-22211-1-1-21-22-11-12i−2i11-1-11-112i−2i−2i2i−iii−i−ii−iii−ii−i0000000000000000i3−i3−i3i33−3−330000-222-2-22-22-2122-2-2-1-1112-12-21-11−2i2i-1-111-11-1−2i2i2i−2ii−i−iii−ii−i−ii−ii0000000000000000−i3i3i3−i3−333−30000
χ1252-2-222-22-22-1-2-22211-1-1-21-22-11-1−2i2i11-1-11-11−2i2i2i−2ii−i−iii−ii−i−ii−ii0000000000000000−i3i3i3−i33−3−330000-222-2-22-22-2122-2-2-1-1112-12-21-112i−2i-1-111-11-12i−2i−2i2i−iii−i−ii−iii−ii−i0000000000000000i3−i3−i3i3−333−30000
χ1262-2-222-22-22-1-2-22211-1-1-21-22-11-1−2i2i11-1-11-11−2i2i2i−2ii−i−iii−ii−i−ii−ii0000000000000000i3−i3−i3i3−333−30000-222-2-22-22-2122-2-2-1-1112-12-21-112i−2i-1-111-11-12i−2i−2i2i−iii−i−ii−iii−ii−i0000000000000000−i3i3i3−i33−3−330000
χ1272-2-222-22-2-1211-1-1-2-2221-21-12-2-12i−2i11-1-11-11−iii−i2i−2i−2i2i−ii−iii−ii−i00000000−i3i3i3−i3−333−3000000000000-222-2-22-221-2-1-11122-2-2-12-11-221−2i2i-1-111-11-1i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000i3−i3−i3i33−3−33000000000000
χ1282-2-222-22-2-1211-1-1-2-2221-21-12-2-12i−2i11-1-11-11−iii−i2i−2i−2i2i−ii−iii−ii−i00000000i3−i3−i3i33−3−33000000000000-222-2-22-221-2-1-11122-2-2-12-11-221−2i2i-1-111-11-1i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000−i3i3i3−i3−333−3000000000000
χ1292-2-222-22-2-1211-1-1-2-2221-21-12-2-1−2i2i11-1-11-11i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000−i3i3i3−i33−3−33000000000000-222-2-22-221-2-1-11122-2-2-12-11-2212i−2i-1-111-11-1−iii−i2i−2i−2i2i−ii−iii−ii−i00000000i3−i3−i3i3−333−3000000000000
χ1302-2-222-22-2-1211-1-1-2-2221-21-12-2-1−2i2i11-1-11-11i−i−ii−2i2i2i−2ii−ii−i−ii−ii00000000i3−i3−i3i3−333−3000000000000-222-2-22-221-2-1-11122-2-2-12-11-2212i−2i-1-111-11-1−iii−i2i−2i−2i2i−ii−iii−ii−i00000000−i3i3i3−i33−3−33000000000000
χ1312-2-2-2-222222-2-22-2-2-22-2222-2-22200-2-22-22-220000000000000000000000000000000000000000002-2-22222-2-2-2-2-222-2222-22-2-2-222-2-20022-22-22-2000000000000000000000000000000000000000000-22
χ1322-2-2-2-222222-2-22-2-2-22-2222-2-22200-2-22-22-22000000000000000000000000000000000000000000-22-22222-2-2-2-2-222-2222-22-2-2-222-2-20022-22-22-20000000000000000000000000000000000000000002-2
χ13344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-1-4-4-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ13444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-144-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ135444-4-4-44-44-2444-4-2-2-22-42-4-422-200-2-2-2222200000000000000000000000000000000000000000000-4-4-4444-44-42-4-4-44222-24-244-2-2200222-2-2-2-200000000000000000000000000000000000000000000
χ136444-4-4-44-4-24-2-2-22444-42-422-4-4-200-2-2-2222200000000000000000000000000000000000000000000-4-4-4444-442-4222-2-4-4-44-24-2-244200222-2-2-2-200000000000000000000000000000000000000000000
χ137444-4-4-44-4-2-2-2-2-22-2-2-22222222100111-1-1-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000-4-4-4444-4422222-2222-2-2-2-2-2-2-2-100-1-1-1111100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ138444-4-4-44-4-2-2-2-2-22-2-2-22222222100111-1-1-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000-4-4-4444-4422222-2222-2-2-2-2-2-2-2-100-1-1-11111000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ13944-44-44-4-44-24-4-44-2222-424-4-2-2-200-222-2-22200000000000000000000000000000000000000000000-4-44-44-444-42-444-42-2-2-24-2-44222002-2-222-2-200000000000000000000000000000000000000000000
χ14044-44-44-4-4-2-2-222-2-222222-22-2-21001-1-111-1-12323−23−230000−3−3−3−333330000000000000000000000000000-4-44-44-444222-2-222-2-2-2-2-22-222-100-111-1-111−23−23232300003333−3−3−3−30000000000000000000000000000
χ14144-44-44-4-4-2-2-222-2-222222-22-2-21001-1-111-1-1−23−23232300003333−3−3−3−30000000000000000000000000000-4-44-44-444222-2-222-2-2-2-2-22-222-100-111-1-1112323−23−230000−3−3−3−333330000000000000000000000000000
χ14244-4-44-4-44-24-22224-4-44-242-2-4-4-200-22222-2-200000000000000000000000000000000000000000000-4-444-444-42-42-2-2-2-444-42-4-22442002-2-2-2-22200000000000000000000000000000000000000000000
χ14344-4-44-4-44-2-2-2222-222-2-2-22-2221001-1-1-1-1110000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000-4-444-444-4222-2-2-22-2-2222-22-2-2-100-11111-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ14444-4-44-4-44-2-2-2222-222-2-2-22-2221001-1-1-1-11100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000-4-444-444-4222-2-2-22-2-2222-22-2-2-100-11111-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ1454-444-4-4-444-2-44-442-2224-2-4-4-22-2002-22-222-200000000000000000000000000000000000000000000-44-4-4444-4-424-44-4-22-2-2-42442-2200-22-22-2-2200000000000000000000000000000000000000000000
χ1464-444-4-4-44-2-22-22-22-222-2-222-22100-11-11-1-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000-44-4-4444-422-22-22-22-2-222-2-22-2-1001-11-111-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ1474-444-4-4-44-2-22-22-22-222-2-222-22100-11-11-1-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000-44-4-4444-422-22-22-22-2-222-2-22-2-1001-11-111-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ1484-44-444-4-4-242-222-44-442-4-2-2-44-2002-222-2-2200000000000000000000000000000000000000000000-44-44-4-4442-4-22-2-24-44-4-24224-4200-22-2-222-200000000000000000000000000000000000000000000
χ1494-44-444-4-4-2-22-2222-22-222-2-22-2100-11-1-111-1000023−2323−23−333−33−3−330000000000000000000000000000-44-44-4-44422-22-2-2-22-22-2-222-22-1001-111-1-110000−2323−23233−3−33−333−30000000000000000000000000000
χ1504-44-444-4-4-2-22-2222-22-222-2-22-2100-11-1-111-10000−2323−23233−3−33−333−30000000000000000000000000000-44-44-4-44422-22-2-2-22-22-2-222-22-1001-111-1-11000023−2323−23−333−33−3−330000000000000000000000000000
χ1514-4-444-44-4-2-222-2-222-2-2222-2-2214i−4i-1-111-11-1−2i2i2i−2i−2i2i2i−2ii−ii−i−ii−ii0000000000000000000000000000-444-4-44-4422-2-222-2-222-2-2-222-2-1−4i4i11-1-11-112i−2i−2i2i2i−2i−2i2i−ii−iii−ii−i0000000000000000000000000000
χ1524-4-444-44-4-2-222-2-222-2-2222-2-221−4i4i-1-111-11-12i−2i−2i2i2i−2i−2i2i−ii−iii−ii−i0000000000000000000000000000-444-4-44-4422-2-222-2-222-2-2-222-2-14i−4i11-1-11-11−2i2i2i−2i−2i2i2i−2ii−ii−i−ii−ii0000000000000000000000000000
χ1534-4-4-4-44444-2-4-44-422-224-24-42-2-20022-22-22-200000000000000000000000000000000000000000000-44444-4-4-4-4244-44-2-22-2-42-44-22200-2-22-22-2200000000000000000000000000000000000000000000
χ1544-4-4-4-4444-2422-22-4-44-4-24-22-44-20022-22-22-200000000000000000000000000000000000000000000-44444-4-4-42-4-2-22-244-442-42-24-4200-2-22-22-2200000000000000000000000000000000000000000000
χ1554-4-4-4-4444-2-222-2222-22-2-2-222-2100-1-11-11-11000000003-3-333-3-330000000000000000000000000000-44444-4-4-422-2-22-2-2-22-2222-2-22-10011-11-11-100000000-333-3-333-30000000000000000000000000000
χ1564-4-4-4-4444-2-222-2222-22-2-2-222-2100-1-11-11-1100000000-333-3-333-30000000000000000000000000000-44444-4-4-422-2-22-2-2-22-2222-2-22-10011-11-11-1000000003-3-333-3-330000000000000000000000000000

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