Finite Group Databasebeta

← Group #13172132

Character table — Group #13172132

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order122222333666666666333666666666666666224436666666666666244466666612121212121212121212224444121212121212121266666121212121212121212121224466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111-111-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-11111-11-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-1-11111-1-111111-1
χ101111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-11-11-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1111-11-1-111-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-111-1-1-11111-1-111-1-1-11111-1-1-11
χ121111-1-1111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111111111111111-111-1-11-11-1-111-1-111-1-1-111-1-1-1-1-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1111111111111111-1-111-11-111-1-111-1-1-1-1-111-1-1-1-1-1-1-11
χ141111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-11111-1-11-1
χ151111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-11-11-1-111-1-1111-1
χ161111-1-1111111111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-11111-1-11111-11
χ1722222222-12222-1-1-122-12-12222-1-1-122-1-1-1-12-10000-1-1-122-1-1-1-1-1-1-1-1-12222000022002222002222000000000000-100-1-1-1-1-100-1-1-1-1-1-1200-1-1-1-1000000
χ1822222222-12222-1-1-122-12-12222-1-1-122-1-1-1-12-10000-1-1-122-1-1-1-1-1-1-1-1-12-2-2200002200-2-2-2-20022-2-2000000000000-100-1-1-11100-1-11111-2001111000000
χ1922222222-12222-1-1-122-12-12222-1-1-122-1-1-1-12-10000-1-1-122-1-1-1-1-1-1-1-1-1-222-20000-2-200222200-2-2-2-2000000000000100111-1-10011-1-1-1-1-2001111000000
χ2022222222-12222-1-1-122-12-12222-1-1-122-1-1-1-12-10000-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200-2-2-2-200-2-2220000000000001001111100111111200-1-1-1-1000000
χ212222222-12-1-1222222-12-1-122-1-1222-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-1-1-1200222-1-1-1-1220000-1-1-1-10000220000-1-1-1-12-1-1-1-1200-1-1-1-10000002000000-1-100
χ222222222-12-1-1222222-12-1-122-1-1222-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-200-222-1-111220000-1-1110000-2-200001111-2-1-111-200-1-111000000-20000001100
χ232222222-12-1-1222222-12-1-122-1-1222-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-1-12002-2-211-1-1-2-2000011-1-10000-2-200001111211-1-120011-1-1000000-20000001100
χ242222222-12-1-1222222-12-1-122-1-1222-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1-1-1-200-2-2-21111-2-2000011110000220000-1-1-1-1-21111-20011110000002000000-1-100
χ25222222-12222-1-1222-12-1-12-1-12222-1-1-122-1-1-122222-1-1-1-1-122-1-1-1-1-1-1-10220-1-12200-1-1-1-1-1-12200002200-1-1-1-100000-1-100022-1-100-1-1-1-10200000-1-10000
χ26222222-12222-1-1222-12-1-12-1-12222-1-1-122-1-1-122222-1-1-1-1-122-1-1-1-1-1-1-10-2-20-1-12200-1-11111220000-2-200111100000-1-1000-2-2-1-10011110-200000110000
χ27222222-12222-1-1222-12-1-12-1-12222-1-1-122-1-1-12-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-1022011-2-20011-1-1-1-1-2-20000-2-20011110000011000221100-1-1-1-10-200000110000
χ28222222-12222-1-1222-12-1-12-1-12222-1-1-122-1-1-12-2-2-2-2-1-1-1-1-122-1-1-1-1-1-1-10-2-2011-2-200111111-2-200002200-1-1-1-10000011000-2-2110011110200000-1-10000
χ292222-2-222-12222-1-1-122-12-1-2-2-2-211-122-1-1-1-12-10000-111-2-211-1-1-1111122-2-20000220022-2-200-2-222000000000000-100-1-11-110011-1-111-200-1-111000000
χ302222-2-222-12222-1-1-122-12-1-2-2-2-211-122-1-1-1-12-10000-111-2-211-1-1-111112-22-200002200-2-22200-2-2-2-2000000000000-100-1-111-1001111-1-120011-1-1000000
χ312222-2-222-12222-1-1-122-12-1-2-2-2-211-122-1-1-1-12-10000-111-2-211-1-1-11111-22-220000-2-20022-2-20022-2-200000000000010011-1-1100-1-1-1-11120011-1-1000000
χ322222-2-222-12222-1-1-122-12-1-2-2-2-211-122-1-1-1-12-10000-111-2-211-1-1-11111-2-2220000-2-200-2-22200222200000000000010011-11-100-1-111-1-1-200-1-111000000
χ332222-2-22-12-1-1222222-12-1-1-2-211-2-22-1-1-1-122-1-122-2-2-1-2-21111-1-1-11111200-222-1-1-1-1-2-2000011110000-2-2000011112-1-1-1-1-20011110000002000000-1-100
χ342222-2-22-12-1-1222222-12-1-1-2-211-2-22-1-1-1-122-1-122-2-2-1-2-21111-1-1-11111-200222-1-111-2-2000011-1-10000220000-1-1-1-1-2-1-11120011-1-1000000-20000001100
χ352222-2-22-12-1-1222222-12-1-1-2-211-2-22-1-1-1-122-1-1-2-222-1-2-21111-1-1-11111200-2-2-211-1-1220000-1-1110000220000-1-1-1-1211-1-1-200-1-111000000-20000001100
χ362222-2-22-12-1-1222222-12-1-1-2-211-2-22-1-1-1-122-1-1-2-222-1-2-21111-1-1-11111-2002-2-21111220000-1-1-1-10000-2-200001111-21111200-1-1-1-10000002000000-1-100
χ372222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-122-1-1-1222-2-2-11111-2-2-1-1-1111102-20-1-1220011-1-111-2-20000-2-200111100000-1-10002-21100-1-1110200000-1-10000
χ382222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-122-1-1-1222-2-2-11111-2-2-1-1-111110-220-1-122001111-1-1-2-200002200-1-1-1-100000-1-1000-22110011-1-10-200000110000
χ392222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-122-1-1-12-2-222-11111-2-2-1-1-1111102-2011-2-200-1-1-1-1112200002200-1-1-1-100000110002-2-1-100-1-1110-200000110000
χ402222-2-2-12222-1-1222-12-1-1211-2-2-2-2-1-1-122-1-1-12-2-222-11111-2-2-1-1-111110-22011-2-200-1-111-1-1220000-2-20011110000011000-22-1-10011-1-10200000-1-10000
χ4122-2-2002222-22-22-2-2-2-2222000000-22-22-22-2-2-2000020000002-2-20000000000000000000000002-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000002-200000000
χ4222-2-2002222-22-22-2-2-2-2222000000-22-22-22-2-2-2000020000002-2-20000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000002-200000000
χ4322-2-2002222-22-22-2-2-2-2222000000-22-22-22-2-2-2000020000002-2-2000000000000000000000000-222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000-2200000000
χ4422-2-2002222-22-22-2-2-2-2222000000-22-22-22-2-2-2000020000002-2-2000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000-2200000000
χ452-2-222-2222-2-2-22-22-2-222222-22-22-22-2-2-2-2-2-2222-22-222-22-22-2-22-222-2-200002-22-2002-200002-2000000000000000002-2000002-20000000000000000000
χ462-2-222-2222-2-2-22-22-2-222222-22-22-22-2-2-2-2-2-222-22-2222-22-22-2-22-222-2-20000-22-2200-220000-2200000000000000000-2200000-220000000000000000000
χ472-2-222-22-1211-22-22-2-2-12-1-12-2-112-221111-2-2-1-12-22-2-12-2-11-111-11-1-11100002-2-11−i3i32-20000-11−i3i30000000000−i3i3−i3i30-11−i3i3000-11−i3i30000000000000−i3i300
χ482-2-222-22-1211-22-22-2-2-12-1-12-2-112-221111-2-2-1-12-22-2-12-2-11-111-11-1-11100002-2-11i3−i32-20000-11i3−i30000000000i3−i3i3−i30-11i3−i3000-11i3−i30000000000000i3−i300
χ492-2-222-22-1211-22-22-2-2-12-1-12-2-112-221111-2-2-1-1-22-22-12-2-11-111-11-1-1110000-221-1−i3i3-2200001-1−i3i30000000000i3−i3i3−i301-1−i3i30001-1−i3i30000000000000i3−i300
χ502-2-222-22-1211-22-22-2-2-12-1-12-2-112-221111-2-2-1-1-22-22-12-2-11-111-11-1-1110000-221-1i3−i3-2200001-1i3−i30000000000−i3i3−i3i301-1i3−i30001-1i3−i30000000000000−i3i300
χ512-2-222-2-122-2-21-1-22-212-1-12-112-22-2-111-2-211-122-22-2-1-11-112-21-11-1-1110000-112-200-113−33−32-2000000003−33−300000-1100000-11003−33−300000003−30000
χ522-2-222-2-122-2-21-1-22-212-1-12-112-22-2-111-2-211-122-22-2-1-11-112-21-11-1-1110000-112-200-11−33−332-200000000−33−3300000-1100000-1100−33−330000000−330000
χ532-2-222-2-122-2-21-1-22-212-1-12-112-22-2-111-2-211-12-22-22-1-11-112-21-11-1-11100001-1-22001-13−33−3-2200000000−33−33000001-1000001-1003−33−30000000−330000
χ542-2-222-2-122-2-21-1-22-212-1-12-112-22-2-111-2-211-12-22-22-1-11-112-21-11-1-11100001-1-22001-1−33−33-22000000003−33−3000001-1000001-100−33−3300000003−30000
χ552-2-22-22222-2-2-22-22-2-22222-22-22-222-2-2-2-2-2-2222-2-222-22-22-22-22-2-2-22200002-22-200-220000-22000000000000000002-200000-220000000000000000000
χ562-2-22-22222-2-2-22-22-2-22222-22-22-222-2-2-2-2-2-222-222-22-22-22-22-22-2-2-2220000-22-22002-200002-200000000000000000-22000002-20000000000000000000
χ572-2-22-222-1211-22-22-2-2-12-1-1-221-1-2221111-2-2-1-12-2-22-1-221-11-11-1111-1-100002-2-11−i3i3-2200001-1i3−i30000000000i3−i3i3−i30-11−i3i30001-1i3−i30000000000000−i3i300
χ582-2-22-222-1211-22-22-2-2-12-1-1-221-1-2221111-2-2-1-12-2-22-1-221-11-11-1111-1-100002-2-11i3−i3-2200001-1−i3i30000000000−i3i3−i3i30-11i3−i30001-1−i3i30000000000000i3−i300
χ592-2-22-222-1211-22-22-2-2-12-1-1-221-1-2221111-2-2-1-1-222-2-1-221-11-11-1111-1-10000-221-1−i3i32-20000-11i3−i30000000000−i3i3−i3i301-1−i3i3000-11i3−i30000000000000i3−i300
χ602-2-22-222-1211-22-22-2-2-12-1-1-221-1-2221111-2-2-1-1-222-2-1-221-11-11-1111-1-10000-221-1i3−i32-20000-11−i3i30000000000i3−i3i3−i301-1i3−i3000-11−i3i30000000000000−i3i300
χ612-2-22-22-122-2-21-1-22-212-1-121-1-22-22-111-2-211-122-2-22-11-11-1-221-1111-1-10000-112-2001-13−3−33-2200000000−33−3300000-11000001-1003−3−3300000003−30000
χ622-2-22-22-122-2-21-1-22-212-1-121-1-22-22-111-2-211-122-2-22-11-11-1-221-1111-1-10000-112-2001-1−333−3-22000000003−33−300000-11000001-100−333−30000000−330000
χ632-2-22-22-122-2-21-1-22-212-1-121-1-22-22-111-2-211-12-222-2-11-11-1-221-1111-1-100001-1-2200-113−3−332-2000000003−33−3000001-100000-11003−3−330000000−330000
χ642-2-22-22-122-2-21-1-22-212-1-121-1-22-22-111-2-211-12-222-2-11-11-1-221-1111-1-100001-1-2200-11−333−32-200000000−33−33000001-100000-1100−333−300000003−30000
χ654444444-2-2-2-244-2-2-24-2-2-2144-2-2-2-2-2-2-211-2-2-2100001-2-2-2-211111111140040000-2-200000000-2-200000000000000-20011-200001100000000000000000
χ664444444-2-2-2-244-2-2-24-2-2-2144-2-2-2-2-2-2-211-2-2-2100001-2-2-2-2111111111-400-4000022000000002200000000000000200-1-120000-1-100000000000000000
χ67444444-24-244-2-2-2-2-2-241-2-2-2-244-2-21-2-2-2-211-2-20000111-2-2-2-21111111044000000000-2-2-2-2000000000000000000000000-2-2000011110000000000000
χ68444444-24-244-2-2-2-2-2-241-2-2-2-244-2-21-2-2-2-211-2-20000111-2-2-2-211111110-4-40000000002222000000000000000000000000220000-1-1-1-10000000000000
χ69444444-2-24-2-2-2-2444-2-2-21-2-2-2-2-244-211-2-2-2-21-244441-2-211-2-211111110000-2-2-2-200-2-20000-2-2000000000000000001100000110000000000000000000
χ70444444-2-24-2-2-2-2444-2-2-21-2-2-2-2-244-211-2-2-2-21-2-4-4-4-41-2-211-2-2111111100002222002200002200000000000000000-1-100000-1-10000000000000000000
χ714444-4-44-2-2-2-244-2-2-24-2-2-21-4-42222-2-2-211-2-2-21000012222-1-1111-1-1-1-1400-40000-2-2000000002200000000000000-2001120000-1-100000000000000000
χ724444-4-44-2-2-2-244-2-2-24-2-2-21-4-42222-2-2-211-2-2-21000012222-1-1111-1-1-1-1-400400002200000000-2-200000000000000200-1-1-200001100000000000000000
χ734444-4-4-24-244-2-2-2-2-2-241-2-222-4-4221-2-2-2-211-2-200001-1-12222111-1-1-1-104-4000000000-2-222000000000000000000000000-22000011-1-10000000000000
χ744444-4-4-24-244-2-2-2-2-2-241-2-222-4-4221-2-2-2-211-2-200001-1-12222111-1-1-1-10-4400000000022-2-20000000000000000000000002-20000-1-1110000000000000
χ754444-4-4-2-24-2-2-2-2444-2-2-21-22222-4-4-211-2-2-2-21-244-4-4122-1-122111-1-1-1-10000-2-2-2-20022000022000000000000000001100000-1-10000000000000000000
χ764444-4-4-2-24-2-2-2-2444-2-2-21-22222-4-4-211-2-2-2-21-2-4-444122-1-122111-1-1-1-10000222200-2-20000-2-200000000000000000-1-100000110000000000000000000
χ7744-4-40044-24-44-4-222-4-4-24-200000024-4-22-22-420000-2000000-2220000000000000000000000004-40000000000000000000000000000000-2200000000
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χ7944-4-4004-24-224-44-4-4-424-2-2000000-4-22-224-4220000-2000000-22200000000000000000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000000
χ8044-4-4004-24-224-44-4-4-424-2-2000000-4-22-224-4220000-2000000-2220000000000000000000000000000−4i4i00002i2i−2i−2i00000000000000000000000000000
χ8144-4-400-2444-4-224-4-42-4-2-240000002-224-4-222-40000-2000000-222000000000000000000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000
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χ834-44-400444-44-4-4-4-444-4444000000-4-44-44-44-4-400004000000-4-440000000000000000000000000000000000000000000000000000000000000000000
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χ954-4-444-4-2-24222-2-44-42-2-21-2-22-224-4-2-1-122221-24-44-41-221-1-22-11-111-1-10000-22-2200-220000-22000000000000000001-1000001-10000000000000000000
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χ994-4-44-444-2-222-442-22-4-2-2-21-442-22-2-222-1-122-21000012-22-2-11-11-1-1-111000000002i3−2i300000000−2i32i300000000000000000−i3i300000i3−i300000000000000000
χ1004-4-44-44-24-2-4-42-22-22241-2-22-2-442-212222-1-1-2-200001-112-22-2-11-1-1-11100000000000023−23−2323000000000000000000000000000000−333−30000000000000
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χ1024-4-44-44-2-24222-2-44-42-2-21-22-22-2-44-2-1-122221-24-4-4412-2-112-2-11-1-1-1110000-22-22002-200002-2000000000000000001-100000-110000000000000000000
χ1034-4-44-44-2-24222-2-44-42-2-21-22-22-2-44-2-1-122221-2-444-412-2-112-2-11-1-1-11100002-22-200-220000-2200000000000000000-11000001-10000000000000000000
χ104888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222220000-1222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-8-8-4-4-4-4-4-4-4-4-4-4-4-42224444442222222220000-1-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8008-4-4-448-8-444-84-4-420000004-442-2-444-2000020000002-2-20000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-48-48-8-44-4444-82-4-4000000-2-44-442-244000020000002-2-20000000000000000000000000000000000000000000000000000000000000000000
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χ10988-8-800-4-4-4-44-44-44444222000000-22-22-22-2-2-20000-1000000-111−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800-4-4-4-44-44-44444222000000-22-22-22-2-2-20000-1000000-1113i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8008-4-44-4-8-844-484-4-4200000044-4-224-44-200002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-48-4-884444-4-4-82-4-4000000-24-44-4-224400002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-800-4-484-444-8-88-44-42-40000004-224-44-4-2400002000000-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-800-4-4-44-44444-4-44222000000-2-22-22-22-2-20000-100000011-1−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800-4-4-44-44444-4-44222000000-2-22-22-22-2-20000-100000011-13i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-4-4-4444-44-444-4222-44-44-442-2-2-2-2-2-2220000-12-22-22-21-11-1-111000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-88-4-4-4444-44-444-42224-44-44-42-2-2-2-2-2-2220000-1-22-22-221-1111-1-1000000000000000000000000000000000000000000000000000000000000000

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