Finite Group Databasebeta

← Group #13168044

Character table — Group #13168044

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212224444446666121212123666121212121212121212246666666612121212121212121212121212121212224466612121212121212244466661212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111111111-1-111-1-111-1-111111111-1-1111-111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-1111-1-11111111111-1-111-1-11111-1-111-1-1-11-1-111111-1-1-111-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-11-1-1-111-1-111-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11111-11-1-1-1-111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-1-1-1111111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1111-1-1-1-111-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-11-1-11111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11-11-11111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1111-11-11111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-111111-1-1-1-1-11-1-11111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111-1-1-1-1-11111-1111-1-1-1-111-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-111-1-1-1-1-1111111-1-11
χ17222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-122222200-1-1-1-12222-1-1-1-12-1-122-1-1-1-12022-1-1-1-1-1-100-1-1002200-1-1-1-1-1-122002-1-10-1-10000020000-1-100-1-100000
χ18222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-122-2-22200-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-202211-1-1-1-100-1-100-2-20011-1-1-1-1-2-200-21101100000-2000011001100000
χ19222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-222-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-120-2-2-1-111110011002200-1-11111-2-2002-1-10-1-100000-2000011001100000
χ20222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-2-2-2001111-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-2-2111111001100-2-2001111112200-2110110000020000-1-100-1-100000
χ21222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-211112222-2-200-1-1-1-1-2-2-2-2-1-1-1-1-211-2-21111-202211-1-1-1-10011002200-1-11111-2-200-2110-1-100000200001100-1-100000
χ22222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-2111122-2-2-2-200-1-1-1-1-2-2-2-2-1-1-1-1-211-2-211112022-1-1-1-1-1-1001100-2-20011111122002-1-101100000-20000-1-1001100000
χ23222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-21111-2-222220011112222-1-1-1-1-211-2-21111-20-2-211111100-1-1002200-1-1-1-1-1-12200-2110-1-100000-20000-1-1001100000
χ24222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-21111-2-2-2-2220011112222-1-1-1-1-211-2-2111120-2-2-1-1111100-1-100-2-20011-1-1-1-1-2-2002-1-101100000200001100-1-100000
χ2522222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1220022222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-102-1-100-1-1-1-1-1-1222200-1-100-1-1-1-10022000200-1-1-1-12000-1-100-1-10000000
χ2622222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1220022-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-2-1-100-1-1-1-11122-2-2001100-1-1-1-100-2-2000-2001111-20001100110000000
χ2722222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-200-2-222-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10211001111-1-1-2-22200-1-100111100-2-2000200-1-1-1-1-20001100110000000
χ2822222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-21100111111-2-2-2-200110011110022000-20011112000-1-100-1-10000000
χ2922222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-21111112200-2-22222221111-1-1-1-1-2-2-21111110-2-1-100-1-1-1-111-2-22200-1-10011110022000-20011-1-1-20001100-1-10000000
χ3022222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-21111112200-2-2-2-222221111-1-1-1-1-2-2-211111102-1-100-1-1-1-1-1-1-2-2-2-2001100111100-2-2000200-1-1112000-1-100110000000
χ3122222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-2002222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111110-21100111111222200-1-100-1-1-1-100-2-2000-20011-1-12000-1-100110000000
χ3222222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-20022-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111110211001111-1-122-2-2001100-1-1-1-10022000200-1-111-20001100-1-10000000
χ332222-12222-12-1222-1-1-122-1-122-1-1-1-12222222220022002200000000-1-1-1-1-1-1-1-1-1-1-1-1-122002200002200-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ342222-12222-12-1222-1-1-122-1-122-1-1-1-1222222222002200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-200220000-2-20011-1-1-2-22200000000-1-1-11-1-1111100-2-20000000011100
χ352222-12222-12-1222-1-1-122-1-122-1-1-1-122222222200-2-2002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2200-2-200002200-1-11122-2-200000000111-111-1-1-1-100-2-20000000011100
χ362222-12222-12-1222-1-1-122-1-122-1-1-1-122222222200-2-200-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-2001111-2-2-2-2000000001111111111002200000000-1-1-100
χ372222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20022002200000000-1-1-1-1111111111-2-200-2-20000-2-200-1-1-1-12222000000001111-1-111-1-1002-200000000-1-1100
χ382222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2002200-2-200000000-1-1-1-1111111111-2200-2-20000220011-1-1-2-22200000000111-1-1-1-1-11100-220000000011-100
χ392222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-2002200000000-1-1-1-11111111112-200220000-2-200-1-11122-2-200000000-1-1-111111-1-100-220000000011-100
χ402222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-200-2-200000000-1-1-1-1111111111220022000022001111-2-2-2-200000000-1-1-1-111-1-111002-200000000-1-1100
χ4122-2-2222-22-2-22-2-22-22220-2-22-2-222-2-2000000002-200002i−2i22-2-2000022-2-2000000000002-20022-2-200002i−2i002i−2i000000002i−2i000000002i−2i000000002i−2i0000000
χ4222-2-2222-22-2-22-2-22-22220-2-22-2-222-2-2000000002-20000−2i2i22-2-2000022-2-2000000000002-20022-2-20000−2i2i00−2i2i00000000−2i2i00000000−2i2i00000000−2i2i0000000
χ4322-2-2222-22-2-22-2-22-22220-2-22-2-222-2-200000000-2200002i−2i-2-222000022-2-200000000000-2200-2-22200002i−2i002i−2i00000000−2i2i000000002i−2i00000000−2i2i0000000
χ4422-2-2222-22-2-22-2-22-22220-2-22-2-222-2-200000000-220000−2i2i-2-222000022-2-200000000000-2200-2-2220000−2i2i00−2i2i000000002i−2i00000000−2i2i000000002i−2i0000000
χ4522-2-22-12-2-1-2-22112-2-12-101-2-11-2-1211003−333−3−32-200002i−2i22-2-233−3−3-1-1110003−333−3−300-1100-1-111−i3i3002i−2i00−ii0033−3−3002i−2i000000−i3i3−ii0000−i3i300−ii0000000
χ4622-2-22-12-2-1-2-22112-2-12-101-2-11-2-1211003−333−3−32-20000−2i2i22-2-233−3−3-1-1110003−333−3−300-1100-1-111i3−i300−2i2i00i−i0033−3−300−2i2i000000i3−i3i−i0000i3−i300i−i0000000
χ4722-2-22-12-2-1-2-22112-2-12-101-2-11-2-1211003−333−3−3-2200002i−2i-2-222−3−333-1-1110003−333−3−3001-10011-1-1−i3i3002i−2i00−ii00−3−33300−2i2i000000−i3i3−ii0000i3−i300i−i0000000
χ4822-2-22-12-2-1-2-22112-2-12-101-2-11-2-1211003−333−3−3-220000−2i2i-2-222−3−333-1-1110003−333−3−3001-10011-1-1i3−i300−2i2i00i−i00−3−333002i−2i000000i3−i3i−i0000−i3i300−ii0000000
χ4922-2-22-12-2-1-2-22112-2-12-101-2-11-2-121100−33−3−3332-200002i−2i22-2-2−3−333-1-111000−33−3−33300-1100-1-111i3−i3002i−2i00−ii00−3−333002i−2i000000i3−i3−ii0000i3−i300−ii0000000
χ5022-2-22-12-2-1-2-22112-2-12-101-2-11-2-121100−33−3−3332-20000−2i2i22-2-2−3−333-1-111000−33−3−33300-1100-1-111−i3i300−2i2i00i−i00−3−33300−2i2i000000−i3i3i−i0000−i3i300i−i0000000
χ5122-2-22-12-2-1-2-22112-2-12-101-2-11-2-121100−33−3−333-2200002i−2i-2-22233−3−3-1-111000−33−3−333001-10011-1-1i3−i3002i−2i00−ii0033−3−300−2i2i000000i3−i3−ii0000−i3i300i−i0000000
χ5222-2-22-12-2-1-2-22112-2-12-101-2-11-2-121100−33−3−333-220000−2i2i-2-22233−3−3-1-111000−33−3−333001-10011-1-1−i3i300−2i2i00i−i0033−3−3002i−2i000000−i3i3i−i0000i3−i300−ii0000000
χ532-22-22222-2-2-2-2-22-22222022-22-2-2-2-2-200000000002i−2i2i−2i0000002i−2i2i−2i2-22-20000000000000000000002i−2i002i−2i002i−2i2i−2i2i−2i2-20000002i−2i00000000002-2000000000
χ542-22-22222-2-2-2-2-22-22222022-22-2-2-2-2-200000000002i−2i−2i2i000000−2i2i−2i2i2-22-2000000000000000000000−2i2i002i−2i002i−2i−2i2i−2i2i-220000002i−2i0000000000-22000000000
χ552-22-22222-2-2-2-2-22-22222022-22-2-2-2-2-20000000000−2i2i2i−2i0000002i−2i2i−2i2-22-20000000000000000000002i−2i00−2i2i00−2i2i2i−2i2i−2i-22000000−2i2i0000000000-22000000000
χ562-22-22222-2-2-2-2-22-22222022-22-2-2-2-2-20000000000−2i2i−2i2i000000−2i2i−2i2i2-22-2000000000000000000000−2i2i00−2i2i00−2i2i−2i2i−2i2i2-2000000−2i2i00000000002-2000000000
χ572-22-222-1-1-2-21-2-22122-1-102-11-11-21-213−3003−33−3002i−2i2i−2i00−i3i3−i3i32i−2i2i−2i-11-1103−3003−33−30000−i3i3−i3i3−i3i300−ii002i−2i00−ii−ii−ii2-2000−i3i30−ii0000000000-11003−300000
χ582-22-222-1-1-2-21-2-22122-1-102-11-11-21-213−3003−33−3002i−2i−2i2i00i3−i3i3−i3−2i2i−2i2i-11-1103−3003−33−30000−i3i3i3−i3i3−i300i−i002i−2i00−iii−ii−i-22000−i3i30−ii00000000001-100−3300000
χ592-22-222-1-1-2-21-2-22122-1-102-11-11-21-213−3003−33−300−2i2i2i−2i00−i3i3−i3i32i−2i2i−2i-11-1103−3003−33−30000i3−i3−i3i3−i3i300−ii00−2i2i00i−i−ii−ii-22000i3−i30i−i00000000001-100−3300000
χ602-22-222-1-1-2-21-2-22122-1-102-11-11-21-213−3003−33−300−2i2i−2i2i00i3−i3i3−i3−2i2i−2i2i-11-1103−3003−33−30000i3−i3i3−i3i3−i300i−i00−2i2i00i−ii−ii−i2-2000i3−i30i−i0000000000-11003−300000
χ612-22-222-1-1-2-21-2-22122-1-102-11-11-21-21−3300−33−33002i−2i2i−2i00i3−i3i3−i32i−2i2i−2i-11-110−3300−33−330000i3−i3i3−i3i3−i300−ii002i−2i00−ii−ii−ii2-2000i3−i30−ii0000000000-1100−3300000
χ622-22-222-1-1-2-21-2-22122-1-102-11-11-21-21−3300−33−33002i−2i−2i2i00−i3i3−i3i3−2i2i−2i2i-11-110−3300−33−330000i3−i3−i3i3−i3i300i−i002i−2i00−iii−ii−i-22000i3−i30−ii00000000001-1003−300000
χ632-22-222-1-1-2-21-2-22122-1-102-11-11-21-21−3300−33−3300−2i2i2i−2i00i3−i3i3−i32i−2i2i−2i-11-110−3300−33−330000−i3i3i3−i3i3−i300−ii00−2i2i00i−i−ii−ii-22000−i3i30i−i00000000001-1003−300000
χ642-22-222-1-1-2-21-2-22122-1-102-11-11-21-21−3300−33−3300−2i2i−2i2i00−i3i3−i3i3−2i2i−2i2i-11-110−3300−33−330000−i3i3−i3i3−i3i300i−i00−2i2i00i−ii−ii−i2-2000−i3i30i−i0000000000-1100−3300000
χ6544444-2-2-2-24-24-2-2-24-2-214-2-211-2-2-2-21-2-2-2-2111144004400-2-2-2-2-2-2-2-211114-2-2-2-2111100-2-200111100-2-20000000011110000000000000000000000000000000
χ6644444-2-2-2-24-24-2-2-24-2-214-2-211-2-2-2-21-2-2-2-21111-4-400-4-4002222222211114-2-2-2-21111002200-1-1-1-1002200000000-1-1-1-10000000000000000000000000000000
χ6744444-2-2-2-24-24-2-2-24-2-21-4-2-211-2-2-2-212222-1-1-1-14400-4-400-2-2-2-222221111-42222-1-1-1-100-2-2001111002200000000-1-1-1-10000000000000000000000000000000
χ6844444-2-2-2-24-24-2-2-24-2-21-4-2-211-2-2-2-212222-1-1-1-1-4-40044002222-2-2-2-21111-42222-1-1-1-1002200-1-1-1-100-2-20000000011110000000000000000000000000000000
χ694444-24-2-24-2-2-244-2-2-21-24-21-2-21-21-2-2-2-244-2-2-2-200440000000000001111-211-2-211114000-2-20000000000-2-200-2-200000000-211011000000000000000000000
χ704444-24-2-24-2-2-244-2-2-21-24-21-2-21-21-2-2-2-244-2-2-2-200-4-40000000000001111-211-2-21111-4000220000000000220022000000002-1-10-1-1000000000000000000000
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χ954-44-4-2444-42-42-44-4-2-2-240-2-2-442222-400000000004i−4i000000000000-22-220000000000000000000000000−2i2i004i−4i000000000000−2i2i000000000000000000000
χ964-44-4-2444-42-42-44-4-2-2-240-2-2-442222-40000000000−4i4i000000000000-22-2200000000000000000000000002i−2i00−4i4i0000000000002i−2i000000000000000000000
χ974-44-4-24-2-2-4222-442-2-21-20-212-2-12-12223−230023−2323−23004i−4i0000000000001-11-10−3300−33−330000−2i32i30000000000−2i2i00−2i2i000000000i3−i30i−i000000000000000000000
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χ1064-4-444-2-2224-2-4-222-4-2-21022-1-1-222-2100003-3-3300000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11000003-3-33000000i3−i3−i3i3000000000000−i3i3i3−i30000000000000000000000000000000
χ1074-4-444-2-2224-2-4-222-4-2-21022-1-1-222-2100003-3-33000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11000003-3-33000000−i3i3i3−i3000000000000i3−i3−i3i30000000000000000000000000000000
χ1084-4-444-2-2224-2-4-222-4-2-21022-1-1-222-210000-333-300000000−2i32i32i3−2i3−2i32i32i3−2i31-1-1100000-333-3000000i3−i3−i3i3000000000000i3−i3−i3i30000000000000000000000000000000
χ1094-4-444-2-2224-2-4-222-4-2-21022-1-1-222-210000-333-3000000002i3−2i3−2i32i32i3−2i3−2i32i31-1-1100000-333-3000000−i3i3i3−i3000000000000−i3i3i3−i30000000000000000000000000000000
χ1104-4-44-244-4-4-2424-4-42-2-24022-4-4-222-24000000000000000000000000-222-2000000000000000000000000000000000000000000000000000000000000023−23000
χ1114-4-44-244-4-4-2424-4-42-2-24022-4-4-222-24000000000000000000000000-222-20000000000000000000000000000000000000000000000000000000000000−2323000
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χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
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χ11588-8-8-4-4-44-444-444-442220-2-22-2-222-2-20043−43−23−2323230000000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-44-444-444-442220-2-22-2-222-2-200−43432323−23−230000000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-48844-844-4-8-42-4-402-44-44-24-240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4-444444-44-4222022-22-2-2-2-2-243−4300−2323−23230000000000000000-11-110−2323003−33−3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4-444444-44-4222022-22-2-2-2-2-2−43430023−2323−230000000000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-44-8-4-448-844-42-404-24424-2-4-40000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-444-4-44-44442220-2-2-2-22-2-22200006-6-660000000000000000-111-100000-333-3000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-444-4-44-44442220-2-2-2-22-2-2220000-666-60000000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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