Finite Group Databasebeta

← Group #11889700

Character table — Group #11889700

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666622344666666612121212121212121212121212122246666661212121212121212121212121224444668812122446668121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-111-1-1-1-11-1-1-111111-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-11-1111111-1-11-1-111-1-1-1-1111-1-111-1-1111-1-1
χ611111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-11-1111-1111-1-11-1-1-1-111-1-1-111
χ711111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11-1111-1-11111-11-1-1-11-1-1-111-11111-1-1-1-1-111
χ811111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1-1-111-111-1-11111-1-1-111-1-111111-1-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-1-111-1-1-1-11-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-11111-111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11-1-1-1-1-1111111-1-111-1
χ1311111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111111-1-11111-11-11111-1-1-1-1-11-1-1-1-11-1-111111-1-111-1-11-11
χ1411111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111111-1-11111-11-1-1-11111-1-1-111-1-1-1-111-1-111111-1-111-11-1
χ1511111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-111111-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-11111-11-1
χ1611111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-111111-11-1-1-1-111111-11111-111-1-1-1-1-111-1-1-1-11-11
χ17222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-222000000020000-2-22200002-2-2002200-2-200000200000-200000000000
χ18222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000020000-2-2220000-22200-2-2002200000-200000200000000000
χ19222222-2-2222222002-220000222-2-22222-2-22222-2-2220000000-20000-2-2-2-20000-2-220022002200000-200000-200000000000
χ20222222-2-2222222002-220000222-2-22222-2-22222-2-2-2-20000000-20000-2-2-2-2000022-200-2-200-2-200000200000200000000000
χ2122222-1222-1-122-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122200-1-100-1-1220-1-1-100000-1-1-1000000000
χ2222222-1222-1-122-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-2-2222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-200110011-2-2011100000111000000000
χ2322222-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-2-211-2-2-1-111112222-222-1-1-1-1111-2-2-1-1111111-22-200-1-100112-20-1-1100000-111000000000
χ2422222-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-2-211-2-2-1-1111122-2-2-222-1-1-1-1111-2-2-1-11111112-22001100-1-1-22011-1000001-1-1000000000
χ2522222-1222-1-122-1-2-2-1221111-1-1-122-1-122-1-1-1-1-1-12222-2-2-21111-111-2-2-1-1-1-1111122200-1-100-1-1-2-2011-100000-111000000000
χ2622222-1222-1-122-1-2-2-1221111-1-1-122-1-122-1-1-1-1-1-122-2-2-2-2-21111-111-2-2-1-1-1-11111-2-2-200110011220-1-11000001-1-1000000000
χ2722222-1222-1-122-1-2-2-1-2-21111-1-1-1-2-211-2-2-1-1111122222-2-211111-1-122-1-111-1-1-1-1-22-200-1-10011-22011100000-1-1-1000000000
χ2822222-1222-1-122-1-2-2-1-2-21111-1-1-1-2-211-2-2-1-1111122-2-22-2-211111-1-122-1-111-1-1-1-12-22001100-1-12-20-1-1-100000111000000000
χ2922222-1-2-22-1-122-100-12-2−i3−i3i3i3-1-1-12211-2-2111111-2-222000−i3−i3i3i3-1−i3i30011-1-1−i3−i3i3i32-2-200-1-10011000−i3i3-1000001−i3i3000000000
χ3022222-1-2-22-1-122-100-12-2−i3−i3i3i3-1-1-12211-2-2111111-2-2-2-2000−i3−i3i3i3-1−i3i30011-1-1−i3−i3i3i3-222001100-1-1000i3−i3100000-1i3−i3000000000
χ3122222-1-2-22-1-122-100-12-2i3i3−i3−i3-1-1-12211-2-2111111-2-222000i3i3−i3−i3-1i3−i30011-1-1i3i3−i3−i32-2-200-1-10011000i3−i3-1000001i3−i3000000000
χ3222222-1-2-22-1-122-100-12-2i3i3−i3−i3-1-1-12211-2-2111111-2-2-2-2000i3i3−i3−i3-1i3−i30011-1-1i3i3−i3−i3-222001100-1-1000−i3i3100000-1−i3i3000000000
χ3322222-1-2-22-1-122-100-1-22−i3−i3i3i3-1-1-1-2-2-1-12211-1-1-1-1-2-222000−i3−i3i3i31i3−i3001111i3i3−i3−i3-2-2200-1-100-1-1000−i3i31000001i3−i3000000000
χ3422222-1-2-22-1-122-100-1-22−i3−i3i3i3-1-1-1-2-2-1-12211-1-1-1-1-2-2-2-2000−i3−i3i3i31i3−i3001111i3i3−i3−i322-200110011000i3−i3-100000-1−i3i3000000000
χ3522222-1-2-22-1-122-100-1-22i3i3−i3−i3-1-1-1-2-2-1-12211-1-1-1-1-2-222000i3i3−i3−i31−i3i3001111−i3−i3i3i3-2-2200-1-100-1-1000i3−i31000001−i3i3000000000
χ3622222-1-2-22-1-122-100-1-22i3i3−i3−i3-1-1-1-2-2-1-12211-1-1-1-1-2-2-2-2000i3i3−i3−i31−i3i3001111−i3−i3i3i322-200110011000−i3i3-100000-1i3−i3000000000
χ372222-1222-122-1-1222-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000220022000020002-1-1-1-1000-1-1-1-100000
χ382222-1222-122-1-1222-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000-2-200-2-20000-2000-21111000111100000
χ392222-1222-122-1-1222-1-2-22222-1-1-111-2-211221111-1-100-2-1-1-1-1-1-1-2-2-211-1-11111110002200220000-2000-211-1-1000-1-11100000
χ402222-1222-122-1-1222-1-2-22222-1-1-111-2-211221111-1-100-2-1-1-1-1-1-1-2-2-211-1-1111111000-2-200-2-2000020002-1-11100011-1-100000
χ412222-1222-122-1-12-2-2-122-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-100-21111112-2-211-1-1-1-111110002200-2-200002000-2-1-1-1-1000111100000
χ422222-1222-122-1-12-2-2-122-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-100-21111112-2-211-1-1-1-11111000-2-200220000-200021111000-1-1-1-100000
χ432222-1222-122-1-12-2-2-1-2-2-2-2-2-2-1-1-111-2-211221111-1-1002111111-222-1-1-1-111-1-1-1-10002200-2-20000-2000211-1-100011-1-100000
χ442222-1222-122-1-12-2-2-1-2-2-2-2-2-2-1-1-111-2-211221111-1-1002111111-222-1-1-1-111-1-1-1-1000-2-2002200002000-2-1-111000-1-11100000
χ452-22-2222-2-2-2-22-222-22002-22-22-2-20000002-200002-20002-22-22-2000002-20000000002i−2i002i−2i000000000002i−2i0002i−2i0000000
χ462-22-2222-2-2-2-22-222-22002-22-22-2-20000002-200002-20002-22-22-2000002-2000000000−2i2i00−2i2i00000000000−2i2i000−2i2i0000000
χ472-22-2222-2-2-2-22-22-22200-22-222-2-20000002-200002-2000-22-22-22000002-20000000002i−2i00−2i2i000000000002i−2i000−2i2i0000000
χ482-22-2222-2-2-2-22-22-22200-22-222-2-20000002-200002-2000-22-22-22000002-2000000000−2i2i002i−2i00000000000−2i2i0002i−2i0000000
χ492-22-2-122-21-2-2-1122-2-1002-22-2-1113−3003−32-233−3−3-11000-11-11-110003−3-113−33−33−30002i−2i002i−2i000000000−i3i3−ii000−ii−i3i300000
χ502-22-2-122-21-2-2-1122-2-1002-22-2-1113−3003−32-233−3−3-11000-11-11-110003−3-113−33−33−3000−2i2i00−2i2i000000000i3−i3i−i000i−ii3−i300000
χ512-22-2-122-21-2-2-1122-2-1002-22-2-111−3300−332-2−3−333-11000-11-11-11000−33-11−33−33−330002i−2i002i−2i000000000i3−i3−ii000−iii3−i300000
χ522-22-2-122-21-2-2-1122-2-1002-22-2-111−3300−332-2−3−333-11000-11-11-11000−33-11−33−33−33000−2i2i00−2i2i000000000−i3i3i−i000i−i−i3i300000
χ532-22-2-122-21-2-2-112-22-100-22-22-1113−3003−32-233−3−3-110001-11-11-1000−33-113−3−33−330002i−2i00−2i2i000000000−i3i3−ii000i−ii3−i300000
χ542-22-2-122-21-2-2-112-22-100-22-22-1113−3003−32-233−3−3-110001-11-11-1000−33-113−3−33−33000−2i2i002i−2i000000000i3−i3i−i000−ii−i3i300000
χ552-22-2-122-21-2-2-112-22-100-22-22-111−3300−332-2−3−333-110001-11-11-10003−3-11−333−33−30002i−2i00−2i2i000000000i3−i3−ii000i−i−i3i300000
χ562-22-2-122-21-2-2-112-22-100-22-22-111−3300−332-2−3−333-110001-11-11-10003−3-11−333−33−3000−2i2i002i−2i000000000−i3i3i−i000−iii3−i300000
χ574444-24-4-4-244-2-2400-24-40000-2-2-2-2-2-4-422-4-42222220000000004000022-2-200000000000000000000000000000000000000
χ584444-24-4-4-244-2-2400-2-440000-2-2-22244-2-2-4-4-2-2-2-222000000000-40000222200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2004-2-21111-2-2-2-2-2111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111222222-2-2-1-1-1-1-2-200-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-2-21111-2-200-422-1-1-1-1-222221111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-41-4-42222111222222-2-2-1-1-1-1-2-200422-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i3111-2-2222222-1-1-1-12200000i3i3−i3−i3-2−2i32i300-1-111i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i3111-2-2222222-1-1-1-12200000−i3−i3i3i3-22i3−2i300-1-111−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i311122-2-2-2-22211112200000i3i3−i3−i322i3−2i300-1-1-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i311122-2-2-2-22211112200000−i3−i3i3i32−2i32i300-1-1-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4440044-4-4-4-4004000000-44-4000000000000004-400000000000000000000000004-4000000000000000000000000000
χ6844-4-4440044-4-4-4-4004000000-44-400000000000000-440000000000000000000000000-44000000000000000000000000000
χ6944-4-44-2004-22-4-4200-20000002-220023−23000023−2323−23004-40000000000000000000000000-220023−2300000000000000000000000
χ7044-4-44-2004-22-4-4200-20000002-220023−23000023−2323−2300-4400000000000000000000000002-200−232300000000000000000000000
χ7144-4-44-2004-22-4-4200-20000002-2200−23230000−2323−2323004-40000000000000000000000000-2200−232300000000000000000000000
χ7244-4-44-2004-22-4-4200-20000002-2200−23230000−2323−232300-4400000000000000000000000002-20023−2300000000000000000000000
χ734-44-444-44-4-4-44-440040000004-4-4000000-440000-4400000000000000-440000000000000000000000000000000000000000
χ744-44-44-24-4-4224-4-24-4-200-22-22-222000000-2200004-40004-4-22-2200000-220000000000000000000000000000000000000000
χ754-44-44-24-4-4224-4-2-44-2002-22-2-222000000-2200004-4000-442-22-200000-220000000000000000000000000000000000000000
χ764-44-44-2-44-4224-4-200-200−2i32i32i3−2i3-2220000002-20000-4400000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000
χ774-44-44-2-44-4224-4-200-2002i3−2i3−2i32i3-2220000002-20000-44000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000
χ784-44-4-24-442-4-4-22400-2000000-22223−2300−2323-44−23−2323232-2000000000000002-223−2300000000000000000000000000000000000000
χ794-44-4-24-442-4-4-22400-2000000-222−23230023−23-442323−23−232-2000000000000002-2−232300000000000000000000000000000000000000
χ804-44-4-2-24-4222-22-24-4100-22-221-1-123−230023−23-22−3−333-22000-221-11-100023−231-1−33−33−330000000000000000000000000000000000
χ814-44-4-2-24-4222-22-24-4100-22-221-1-1−232300−2323-2233−3−3-22000-221-11-1000−23231-13−33−33−30000000000000000000000000000000000
χ824-44-4-2-24-4222-22-2-441002-22-21-1-123−230023−23-22−3−333-220002-2-11-11000−23231-1−333−33−30000000000000000000000000000000000
χ834-44-4-2-24-4222-22-2-441002-22-21-1-1−232300−2323-2233−3−3-220002-2-11-1100023−231-13−3−33−330000000000000000000000000000000000
χ844-44-4-2-2-44222-22-200100−2i32i32i3−2i31-1-123−2300−23232-233−3−32-200000i3−i3−i3i300000-11−33−3i3i3i−3i0000000000000000000000000000000000
χ854-44-4-2-2-44222-22-200100−2i32i32i3−2i31-1-1−23230023−232-2−3−3332-200000i3−i3−i3i300000-113−33i−3i−3i3i0000000000000000000000000000000000
χ864-44-4-2-2-44222-22-2001002i3−2i3−2i32i31-1-123−2300−23232-233−3−32-200000−i3i3i3−i300000-11−333i−3i−3i3i0000000000000000000000000000000000
χ874-44-4-2-2-44222-22-2001002i3−2i3−2i32i31-1-1−23230023−232-2−3−3332-200000−i3i3i3−i300000-113−3−3i3i3i−3i0000000000000000000000000000000000
χ884-4-444400-4-44-44-4004000000-4-440000000000000000000000000000000000000000000000000000000000000000022−22000
χ894-4-444400-4-44-44-4004000000-4-4400000000000000000000000000000000000000000000000000000000000000000−2222000
χ9088-8-8-4800-48-844-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4-44444002000000-22-20043−430000−2323−23230000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-44444002000000-22-200−4343000023−2323−230000000000000000000000000000000000000000000000000000000000
χ938-8-888-400-84-4-88400-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48004-884-4-800-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40044-44-44002000000-2-22000000006-6-660000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40044-44-44002000000-2-2200000000-666-60000000000000000000000000000000000000000000000000000000000

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