Finite Group Databasebeta

← Group #11887403

Character table — Group #11887403

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424444488881212121246666121212122424242424242444668812122424242466121212224441212121212121224244881222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-11111-1-1-1-1111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-11111-1-1-1-111111-1-1-1111-1-1-1-11111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11111-11-1-11111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-11-1111-1-111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-1-11-111-1-1-1-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-11111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111-1-11-111-1-111-1-1-1-1-11111-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-1-11111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-2-200-2-2002200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2000022220000000-2-2000000-2200-2-200-2-2000000000-2-2000200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-2220000-2-2-2-20000000-2-20000002-200220022000000000-2-2000-200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022002200-2-200000000022000200000000-200000
χ2122222-1222-12-1-1222-1-1-1-1222-12-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-122-1-1-1-12022-1-10000-1-1-1-1-1-12-1-1002000-1-1-1-10000000000
χ2222222-1222-12-1-1222-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-20-2-21100001111-1-12-1-100-200011110000000000
χ2322222-1222-12-1-1222-1-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-1-222-1-111-1-1-2-2111120-2-2-1-100001111-1-1-21100200011-1-10000000000
χ2422222-1222-12-1-1222-1-1-1-1-2-22-12-11111-2-20022221111-222-1-111-1-1-2-21111-2022110000-1-1-1-1-1-1-21100-2000-1-1110000000000
χ2522222-1222-12-1-12-2-2-1-1-1-1222-12-1-1-1-1-122002222-1-1-1-1-2-2-21111-1-122-1-1-1-120-2-2-1-10000-1-1-1-111-21100-200011110000000000
χ2622222-1222-12-1-12-2-2-1-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-21111-2-2-21111-1-122-1-1-1-1-2022110000111111-211002000-1-1-1-10000000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-12-2-211-1-1-1-1-2-211112022-1-100001111112-1-100-2000-1-1110000000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-22-12-11111-2-200222211112-2-211-1-1-1-1-2-21111-20-2-2110000-1-1-1-1112-1-100200011-1-10000000000
χ292222-1222-12-122-122-1-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-102000022-1-10000-1-1-1-1-100022-10000-1-1-1-1000-100
χ302222-1222-12-122-122-1-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-10-20000-2-2110000-1-1-1-1-1000-2-2100001111000100
χ312222-1222-12-122-122-1-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-122-2-2-1-1111111020000-2-2-1-10000-1-11110002-2-10000-1-111000100
χ322222-1222-12-122-122-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-122-2-2-1-11111110-2000022110000-1-1111000-221000011-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-102000022-1-1000011111000-2-2-1000011-1-1000100
χ342222-1222-12-122-1-2-2-1-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-10-20000-2-2110000111110002210000-1-111000-100
χ352222-1222-12-122-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2002200000000211-2-222-1-1111111020000-2-2-1-1000011-1-1-1000-22-100001111000-100
χ362222-1222-12-122-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000211-2-222-1-11111110-200002211000011-1-1-10002-210000-1-1-1-1000100
χ3722-2-22200-222-2-2-2002-2-222−2000022−2−22i−2i2i−2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−2000000−i2i22i−2i−i2−i2i2i2000002-20000000000−i2i202−2000
χ3822-2-22200-222-2-2-2002-2-222−2000022−2−22i−2i−2i2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−2000000i2−i2−2i2i−i2−i2i2i200000-220000000000i2−i20−22000
χ3922-2-22200-222-2-2-2002-2-222−2000022−2−2−2i2i2i−2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−2000000−i2i22i−2ii2i2−i2−i200000-220000000000−i2i20−22000
χ4022-2-22200-222-2-2-2002-2-222−2000022−2−2−2i2i−2i2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−2000000i2−i2−2i2ii2i2−i2−i2000002-20000000000i2−i202−2000
χ4122-2-22200-222-2-2-2002-2-22−220000−2−2222i−2i2i−2ii2i2−i2−i22i2i−2i−2i000000000−22−2−222000000i2−i22i−2ii2i2−i2−i2000002-20000000000i2−i20−22000
χ4222-2-22200-222-2-2-2002-2-22−220000−2−2222i−2i−2i2ii2i2−i2−i22i2i−2i−2i000000000−22−2−222000000−i2i2−2i2ii2i2−i2−i200000-220000000000−i2i202−2000
χ4322-2-22200-222-2-2-2002-2-22−220000−2−222−2i2i2i−2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−222000000i2−i22i−2i−i2−i2i2i200000-220000000000i2−i202−2000
χ4422-2-22200-222-2-2-2002-2-22−220000−2−222−2i2i−2i2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−222000000−i2i2−2i2i−i2−i2i2i2000002-20000000000−i2i20−22000
χ452-22-222-222-2-2-22-22-22-22-20022-2-2000000002i−2i2i−2i000002-22-2002-2000000002i−2i0000002i−2i2i−2i2-20000000002i−2i000000000000
χ462-22-222-222-2-2-22-22-22-22-20022-2-200000000−2i2i−2i2i000002-22-2002-200000000−2i2i000000−2i2i−2i2i2-2000000000−2i2i000000000000
χ472-22-222-222-2-2-22-2-222-22-20022-2-2000000002i−2i2i−2i00000-22-22002-200000000−2i2i0000002i−2i2i−2i-22000000000−2i2i000000000000
χ482-22-222-222-2-2-22-2-222-22-20022-2-200000000−2i2i−2i2i00000-22-22002-2000000002i−2i000000−2i2i−2i2i-220000000002i−2i000000000000
χ492-22-22-1-2221-21-1-22-2-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i302-2-113−3-11003−33−3002i−2i−i3i30000−ii−ii-1103−3000000−ii−i3i30000000000
χ502-22-22-1-2221-21-1-22-2-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i302-2-113−3-11003−33−300−2i2ii3−i30000i−ii−i-1103−3000000i−ii3−i30000000000
χ512-22-22-1-2221-21-1-22-2-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i302-2-11−33-1100−33−33002i−2ii3−i30000−ii−ii-110−33000000−iii3−i30000000000
χ522-22-22-1-2221-21-1-22-2-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i302-2-11−33-1100−33−3300−2i2i−i3i30000i−ii−i-110−33000000i−i−i3i30000000000
χ532-22-22-1-2221-21-1-2-22-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i30-221-1−33-11003−33−300−2i2i−i3i30000−ii−ii1-10−33000000i−ii3−i30000000000
χ542-22-22-1-2221-21-1-2-22-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i30-221-1−33-11003−33−3002i−2ii3−i30000i−ii−i1-10−33000000−ii−i3i30000000000
χ552-22-22-1-2221-21-1-2-22-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i30-221-13−3-1100−33−3300−2i2ii3−i30000−ii−ii1-103−3000000i−i−i3i30000000000
χ562-22-22-1-2221-21-1-2-22-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i30-221-13−3-1100−33−33002i−2i−i3i30000i−ii−i1-103−3000000−iii3−i30000000000
χ5744444-2-4-44-24-2-2400-2-2-2-200-42-42000044000000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ5844444-2-4-44-24-2-2400-2-2-2-200-42-420000-4-400000022220000000220000004000-2-2000000000000000000000000000000000
χ594444-24-4-4-24-244-200-2-2-2-2002-42-400000044000000000000000220000000-4000000-2-200000000000000200000000000000
χ604444-24-4-4-24-244-200-2-2-2-2002-42-4000000-4-400000000000000022000000040000002200000000000000-200000000000000
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
χ6544-4-44-200-4-2422-400-222-222−220000−2−2224i−4i00−2i2−2i22i22i2−2i−2i2i2i00000000022−22−2−2220000000000i2i2−i2−i20000000000000000000000000
χ6644-4-44-200-4-2422-400-222-222−220000−2−222−4i4i002i22i2−2i2−2i22i2i−2i−2i00000000022−22−2−2220000000000−i2−i2i2i20000000000000000000000000
χ6744-4-44-200-4-2422-400-222-2−2222000022−2−24i−4i002i22i2−2i2−2i2−2i−2i2i2i000000000−222222−2−20000000000−i2−i2i2i20000000000000000000000000
χ6844-4-44-200-4-2422-400-222-2−2222000022−2−2−4i4i00−2i2−2i22i22i22i2i−2i−2i000000000−222222−2−20000000000i2i2−i2−i20000000000000000000000000
χ6944-4-4-240024-2-4-4200-222-222−2200002222−22−22004i−4i00000000000000000−22−2−222000000−2i22i2−2i2i000000000000000000000i2−i2000000
χ7044-4-4-240024-2-4-4200-222-222−2200002222−22−2200−4i4i00000000000000000−22−2−2220000002i2−2i22i−2i000000000000000000000−i2i2000000
χ7144-4-4-240024-2-4-4200-222-2−22220000−22−222222004i−4i000000000000000002−222−2−20000002i2−2i2−2i2i000000000000000000000−i2i2000000
χ7244-4-4-240024-2-4-4200-222-2−22220000−22−22222200−4i4i000000000000000002−222−2−2000000−2i22i22i−2i000000000000000000000i2−i2000000
χ734-44-4444-44-4-4-44-4004-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ744-44-44-24-442-42-2-400-22-2200-424-2000000000000−2i32i3−2i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ754-44-44-24-442-42-2-400-22-2200-424-20000000000002i3−2i32i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ764-44-4-244-4-2-42-44200-22-22002-4-24000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ774-44-4-244-4-2-42-44200-22-22002-4-24000000000000000000000002-200000000000000000000000000000000000−232300000000
χ784-44-4-24-44-2-42-4424-4-22-2200-242-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ794-44-4-24-44-2-42-442-44-22-2200-242-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ804-44-4-2-2-44-2222-224-41-11-100-2-22223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ814-44-4-2-2-44-2222-224-41-11-100-2-222−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ824-44-4-2-2-44-2222-22-441-11-100-2-22223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ834-44-4-2-2-44-2222-22-441-11-100-2-222−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ844-4-444400-4-4-44-440044-4-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-4-4-44-440044-4-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ864-4-444-200-42-4-22400-2-2220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ874-4-444-200-42-4-22400-2-2220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ884-4-444-200-42-4-22400-2-222000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ894-4-444-200-42-4-22400-2-222000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4004-4-4444002-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-4004-4-4444002-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-8-4-48-8-4444-44002-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
χ948-8-88-48004-848-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-44-40022-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-400444-44-40022-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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