Finite Group Databasebeta

← Group #11887233

Character table — Group #11887233

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666622366688121212122424242422446666888846666121212122424242424244444881212121224242424661212124424466121212121224242881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111111-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-111-1-111-1-1-1-111111-1-1-111-1-11-1-11111-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-11111-1111-1-111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-11-1-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-11-1-1-111-1-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-11-1-1111-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1111111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1111-1-11-11111-1-1-1-1-1-1-11111-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-111-1-1-111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-200000000-2-200-2-2220000000002200000-2000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-2000000002-200-2-2-2-2000000000-2-2000002000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-200000000-22002222000000000-2-200000-2000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-200000000220022-2-200000000022000002000000-200000
χ2122222-122-12-12-1222-1-1-1-1222-12-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1220200-1-100-1-1-1-1-1-12-1-100200-1-10-1-10000000000
χ2222222-122-12-12-1222-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-2-20-20011001111-1-12-1-100-200110110000000000
χ2322222-122-12-12-1222-1-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-21111-2-20200-1-1001111-1-1-21100200-1-10110000000000
χ2422222-122-12-12-1222-1-1-1-1-2-22-12-11111-2-20011112222-222-1-111-1-1-2-21111220-2001100-1-1-1-1-1-1-21100-200110-1-10000000000
χ2522222-122-12-12-12-2-2-1-1-1-1222-12-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-1-2-20200-1-100-1-1-1-111-21100-200110110000000000
χ2622222-122-12-12-12-2-2-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1220-2001100111111-21100200-1-10-1-10000000000
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-21111220200-1-1001111112-1-100-200110-1-10000000000
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-12-11111-2-200111122222-2-211-1-1-1-1-2-21111-2-20-2001100-1-1-1-1112-1-100200-1-10110000000000
χ292222-12222-12-12-122-1-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-100202200-1-10000-1-1-1-1-10002200-100-1-1-1-1000-100
χ302222-12222-12-12-122-1-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-100-20-2-200110000-1-1-1-1-1000-2-2001001111000100
χ312222-12222-12-12-122-1-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-122-2-2-1-11111110020-2-200-1-10000-1-11110002-200-100-1-111000100
χ322222-12222-12-12-122-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-122-2-2-1-111111100-202200110000-1-1111000-220010011-1-1000-100
χ332222-12222-12-12-1-2-2-1-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-100202200-1-1000011111000-2-200-10011-1-1000100
χ342222-12222-12-12-1-2-2-1-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-20-2-200110000111110002200100-1-111000-100
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2002200000000211-2-222-1-11111110020-2-200-1-1000011-1-1-1000-2200-1001111000-100
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000211-2-222-1-111111100-20220011000011-1-1-10002-200100-1-1-1-1000100
χ3722-2-22200-2-2-222-2002-2-222−2000022−2−22-22i−2i22-2-222−2−20000000002−222−2−20000−i2i2002i−2i22−2−2000002i−2i0000000000−i2i20−i2i2000
χ3822-2-22200-2-2-222-2002-2-222−2000022−2−22-2−2i2i22-2-222−2−20000000002−222−2−20000i2−i200−2i2i22−2−200000−2i2i0000000000i2−i20i2−i2000
χ3922-2-22200-2-2-222-2002-2-222−2000022−2−2-222i−2i-2-222−2−2220000000002−222−2−20000−i2i2002i−2i−2−22200000−2i2i0000000000−i2i20i2−i2000
χ4022-2-22200-2-2-222-2002-2-222−2000022−2−2-22−2i2i-2-222−2−2220000000002−222−2−20000i2−i200−2i2i−2−222000002i−2i0000000000i2−i20−i2i2000
χ4122-2-22200-2-2-222-2002-2-22−220000−2−2222-22i−2i22-2-2−2−222000000000−22−2−2220000i2−i2002i−2i−2−222000002i−2i0000000000i2−i20i2−i2000
χ4222-2-22200-2-2-222-2002-2-22−220000−2−2222-2−2i2i22-2-2−2−222000000000−22−2−2220000−i2i200−2i2i−2−22200000−2i2i0000000000−i2i20−i2i2000
χ4322-2-22200-2-2-222-2002-2-22−220000−2−222-222i−2i-2-22222−2−2000000000−22−2−2220000i2−i2002i−2i22−2−200000−2i2i0000000000i2−i20−i2i2000
χ4422-2-22200-2-2-222-2002-2-22−220000−2−222-22−2i2i-2-22222−2−2000000000−22−2−2220000−i2i200−2i2i22−2−2000002i−2i0000000000−i2i20i2−i2000
χ452-2-2222-22-222-2-2-22-22-22-20022-2-20000000000002i−2i2i−2i02-22-2002-20000002i−2i000000002i−2i2i−2i2-2000000000002i−2i0000000000
χ462-2-2222-22-222-2-2-22-22-22-20022-2-2000000000000−2i2i−2i2i02-22-2002-2000000−2i2i00000000−2i2i−2i2i2-200000000000−2i2i0000000000
χ472-2-2222-22-222-2-2-2-222-22-20022-2-20000000000002i−2i2i−2i0-22-22002-2000000−2i2i000000002i−2i2i−2i-2200000000000−2i2i0000000000
χ482-2-2222-22-222-2-2-2-222-22-20022-2-2000000000000−2i2i−2i2i0-22-22002-20000002i−2i00000000−2i2i−2i2i-22000000000002i−2i0000000000
χ492-2-222-1-2212-1-21-22-2-11-11002-1-213−33−30000−i3i3−i3i32i−2i2i−2i02-2-113−3-11003−33−32i−2i0000−i3i300−ii−ii-1103−300000−i3i30−ii0000000000
χ502-2-222-1-2212-1-21-22-2-11-11002-1-213−33−30000i3−i3i3−i3−2i2i−2i2i02-2-113−3-11003−33−3−2i2i0000i3−i300i−ii−i-1103−300000i3−i30i−i0000000000
χ512-2-222-1-2212-1-21-22-2-11-11002-1-21−33−330000−i3i3−i3i3−2i2i−2i2i02-2-11−33-1100−33−33−2i2i0000−i3i300i−ii−i-110−3300000−i3i30i−i0000000000
χ522-2-222-1-2212-1-21-22-2-11-11002-1-21−33−330000i3−i3i3−i32i−2i2i−2i02-2-11−33-1100−33−332i−2i0000i3−i300−ii−ii-110−3300000i3−i30−ii0000000000
χ532-2-222-1-2212-1-21-2-22-11-11002-1-213−33−30000−i3i3−i3i32i−2i2i−2i0-221-1−33-11003−33−3−2i2i0000−i3i300−ii−ii1-10−3300000i3−i30i−i0000000000
χ542-2-222-1-2212-1-21-2-22-11-11002-1-213−33−30000i3−i3i3−i3−2i2i−2i2i0-221-1−33-11003−33−32i−2i0000i3−i300i−ii−i1-10−3300000−i3i30−ii0000000000
χ552-2-222-1-2212-1-21-2-22-11-11002-1-21−33−330000−i3i3−i3i3−2i2i−2i2i0-221-13−3-1100−33−332i−2i0000−i3i300i−ii−i1-103−300000i3−i30−ii0000000000
χ562-2-222-1-2212-1-21-2-22-11-11002-1-21−33−330000i3−i3i3−i32i−2i2i−2i0-221-13−3-1100−33−33−2i2i0000i3−i300−ii−ii1-103−300000−i3i30i−i0000000000
χ5744444-2-4-4-24-24-2400-2-2-2-200-42-4200004400-2-2-2-20000000000022000000000-400220000000000000000000000000000000
χ5844444-2-4-4-24-24-2400-2-2-2-200-42-420000-4-40022220000000000022000000000400-2-20000000000000000000000000000000
χ594444-24-4-44-24-24-200-2-2-2-2002-42-4000000440000000000000002200000000-400000-2-200000000000000002000000000000
χ604444-24-4-44-24-24-200-2-2-2-2002-42-4000000-4-40000000000000002200000000400000220000000000000000-2000000000000
χ614444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-211110000000000000011-21100000000000000000000
χ624444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000112-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000000000-422222211-2-2111100000000000000-1-12-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-1-1-21100000000000000000000
χ6544-4-44-2002-424-2-400-222-222−220000−2−2224-400-2-2222222−22−2200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ6644-4-44-2002-424-2-400-222-222−220000−2−222-440022-2-2−22−22222200000000022−22−2−222000000000022−2−20000000000000000000000000
χ6744-4-44-2002-424-2-400-222-2−2222000022−2−24-400-2-222−22−222222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ6844-4-44-2002-424-2-400-222-2−2222000022−2−2-440022-2-22222−22−22000000000−222222−2−20000000000−2−2220000000000000000000000000
χ6944-4-4-2400-42-4-24200-222-222−2200002222−22−22004i−4i00000000000000000−22−2−2220000−2i22i200−2i2i000000000000000000000i2−i2000000
χ7044-4-4-2400-42-4-24200-222-222−2200002222−22−2200−4i4i00000000000000000−22−2−22200002i2−2i2002i−2i000000000000000000000−i2i2000000
χ7144-4-4-2400-42-4-24200-222-2−22220000−22−222222004i−4i000000000000000002−222−2−200002i2−2i200−2i2i000000000000000000000−i2i2000000
χ7244-4-4-2400-42-4-24200-222-2−22220000−22−22222200−4i4i000000000000000002−222−2−20000−2i22i2002i−2i000000000000000000000i2−i2000000
χ734-44-444004-4-4-4-440044-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ744-44-444004-4-4-4-440044-4-40000000000000000002i2−2i2−2i22i200000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ754-44-44-200-2-42-42400-2-2220000006−6−660000−2i32i32i3−2i32i2−2i2−2i22i2000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ764-44-44-200-2-42-42400-2-2220000006−6−6600002i3−2i3−2i32i3−2i22i22i2−2i2000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ774-44-44-200-2-42-42400-2-222000000−666−60000−2i32i32i3−2i3−2i22i22i2−2i200000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ784-44-44-200-2-42-42400-2-222000000−666−600002i3−2i3−2i32i32i2−2i2−2i22i200000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ794-4-44444-4-444-4-4-4004-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-424-2-42-400-22-2200-424-200000000−2i32i3−2i32i3000000000002-20000000000002i3−2i30000000000000000000000000000000
χ814-4-444-24-424-2-42-400-22-2200-424-2000000002i3−2i32i3−2i3000000000002-2000000000000−2i32i30000000000000000000000000000000
χ824-4-44-244-4-4-242-4200-22-22002-4-24000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ834-4-44-244-4-4-242-4200-22-22002-4-24000000000000000000000002-200000000000000000000000000000000000−232300000000
χ844-4-44-24-44-4-242-424-4-22-2200-242-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ854-4-44-24-44-4-242-42-44-22-2200-242-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ864-4-44-2-2-442-2-22224-41-11-100-2-22223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ874-4-44-2-2-442-2-22224-41-11-100-2-222−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ884-4-44-2-2-442-2-2222-441-11-100-2-22223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ894-4-44-2-2-442-2-2222-441-11-100-2-222−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400444-4-44002-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-400444-4-44002-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-8-480084-84-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400-44444-40022-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ958-88-8-4-400-44444-40022-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ968-8-88-4-48-84-4-4444002-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000

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