Finite Group Databasebeta

← Group #11888040

Character table — Group #11888040

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424444488881212121246666121212122424242424242444668812122424242466121212444441212121212121224242881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-11111-1-1-1-111111-1-111-11-1-1-1-11111-1-1-11-1-1
χ3111111111111111111111111111111-1-111111111111111111111111111-11111-1-1-1-1111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1111-111-1-11111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-11-1-1111-1-111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-11-1-111-1-1-1-1111-1-111-1
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
χ1011111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1111111111111111-1-111111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111
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
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-11-1111-1-1-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111-1-1-1111-1-111-1-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-111-1-11111-111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-11-1-1-11111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-2-200-2-2002200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-20000-2-2-2-20000000-2-20000002-200220022000000000-2-2000-200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222000022220000000-2-2000000-2200-2-200-2-2000000000-2-2000200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022002200-2-200000000022000200000000-200000
χ2122222-1222-12-1-1222-1-1-1-1222-12-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-122-1-1-1-12022-1-10000-1-1-1-1-1-12-1-1000020-1-1-1-10000000000
χ2222222-1222-12-1-1222-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-20-2-21100001111-1-12-1-10000-2011110000000000
χ2322222-1222-12-1-1222-1-1-1-1-2-22-12-111110022-2-2-2-2-1-1-1-1-222-1-111-1-1-2-2111120-2-2-1-100001111-1-1-21100002011-1-10000000000
χ2422222-1222-12-1-1222-1-1-1-1-2-22-12-1111100-2-222221111-222-1-111-1-1-2-21111-2022110000-1-1-1-1-1-1-2110000-20-1-1110000000000
χ2522222-1222-12-1-12-2-2-1-1-1-1222-12-1-1-1-1-100222222-1-1-1-1-2-2-21111-1-122-1-1-1-120-2-2-1-10000-1-1-1-111-2110000-2011110000000000
χ2622222-1222-12-1-12-2-2-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-21111-2-2-21111-1-122-1-1-1-1-2022110000111111-211000020-1-1-1-10000000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-22-12-111110022-2-2-2-2-1-1-1-12-2-211-1-1-1-1-2-211112022-1-100001111112-1-10000-20-1-1110000000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-22-12-1111100-2-2222211112-2-211-1-1-1-1-2-21111-20-2-2110000-1-1-1-1112-1-100002011-1-10000000000
χ292222-1222-12-122-122-1-1-1-122-12-1222222200000000002-1-12222-1-1-1-1-1-1-1-102000022-1-10000-1-1-1-1-100220-10000-1-1-1-1000-100
χ302222-1222-12-122-122-1-1-1-122-12-122222-2-200000000002-1-12222-1-1-1-1-1-1-1-10-20000-2-2110000-1-1-1-1-100-2-20100001111000100
χ312222-1222-12-122-122-1-1-1-1-2-2-12-12-2-2-2-2220000000000-2-1-122-2-2-1-1111111020000-2-2-1-10000-1-1111002-20-10000-1-111000100
χ322222-1222-12-122-122-1-1-1-1-2-2-12-12-2-2-2-2-2-20000000000-2-1-122-2-2-1-11111110-2000022110000-1-111100-2201000011-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-122-12-122222220000000000-211-2-2-2-2-1-1-1-1-1-1-1-102000022-1-100001111100-2-20-1000011-1-1000100
χ342222-1222-12-122-1-2-2-1-1-1-122-12-122222-2-20000000000-211-2-2-2-2-1-1-1-1-1-1-1-10-20000-2-2110000111110022010000-1-111000-100
χ352222-1222-12-122-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2220000000000211-2-222-1-1111111020000-2-2-1-1000011-1-1-100-220-100001111000-100
χ362222-1222-12-122-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2-2-20000000000211-2-222-1-11111110-200002211000011-1-1-1002-2010000-1-1-1-1000100
χ372-22-22200-22-2-2-22002-2-222−2000022−2−22-22i−2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−20000002−22-2−i2−i2i2i2000002i−2i00000000002−20−i2i2000
χ382-22-22200-22-2-2-22002-2-222−2000022−2−22-2−2i2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−20000002−22-2i2i2−i2−i200000−2i2i00000000002−20i2−i2000
χ392-22-22200-22-2-2-22002-2-222−2000022−2−2-222i−2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−2000000−22-22−i2−i2i2i200000−2i2i0000000000−220i2−i2000
χ402-22-22200-22-2-2-22002-2-222−2000022−2−2-22−2i2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−2000000−22-22i2i2−i2−i2000002i−2i0000000000−220−i2i2000
χ412-22-22200-22-2-2-22002-2-22−220000−2−2222-22i−2ii2i2−i2−i22i2i−2i−2i000000000−22−2−222000000−222-2i2i2−i2−i2000002i−2i0000000000−220i2−i2000
χ422-22-22200-22-2-2-22002-2-22−220000−2−2222-2−2i2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−222000000−222-2−i2−i2i2i200000−2i2i0000000000−220−i2i2000
χ432-22-22200-22-2-2-22002-2-22−220000−2−222-222i−2ii2i2−i2−i22i2i−2i−2i000000000−22−2−2220000002−2-22i2i2−i2−i200000−2i2i00000000002−20−i2i2000
χ442-22-22200-22-2-2-22002-2-22−220000−2−222-22−2i2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−2220000002−2-22−i2−i2i2i2000002i−2i00000000002−20i2−i2000
χ452-2-2222-222-2-2-22-22-22-22-20022-2-2000000002i−2i2i−2i000002-22-2002-2000000002i−2i0000002i−2i2i−2i2-20000000002i−2i000000000000
χ462-2-2222-222-2-2-22-22-22-22-20022-2-200000000−2i2i−2i2i000002-22-2002-200000000−2i2i000000−2i2i−2i2i2-2000000000−2i2i000000000000
χ472-2-2222-222-2-2-22-2-222-22-20022-2-2000000002i−2i2i−2i00000-22-22002-200000000−2i2i0000002i−2i2i−2i-22000000000−2i2i000000000000
χ482-2-2222-222-2-2-22-2-222-22-20022-2-200000000−2i2i−2i2i00000-22-22002-2000000002i−2i000000−2i2i−2i2i-220000000002i−2i000000000000
χ492-2-222-1-2221-21-1-22-2-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i302-2-113−3-11003−33−3002i−2i−i3i30000−ii−ii-1103−3000000−ii−i3i30000000000
χ502-2-222-1-2221-21-1-22-2-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i302-2-113−3-11003−33−300−2i2ii3−i30000i−ii−i-1103−3000000i−ii3−i30000000000
χ512-2-222-1-2221-21-1-22-2-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i302-2-11−33-1100−33−33002i−2ii3−i30000−ii−ii-110−33000000−iii3−i30000000000
χ522-2-222-1-2221-21-1-22-2-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i302-2-11−33-1100−33−3300−2i2i−i3i30000i−ii−i-110−33000000i−i−i3i30000000000
χ532-2-222-1-2221-21-1-2-22-11-11002-1-213−33−300002i−2i2i−2i−i3i3−i3i30-221-1−33-11003−33−300−2i2i−i3i30000−ii−ii1-10−33000000i−ii3−i30000000000
χ542-2-222-1-2221-21-1-2-22-11-11002-1-213−33−30000−2i2i−2i2ii3−i3i3−i30-221-1−33-11003−33−3002i−2ii3−i30000i−ii−i1-10−33000000−ii−i3i30000000000
χ552-2-222-1-2221-21-1-2-22-11-11002-1-21−33−3300002i−2i2i−2ii3−i3i3−i30-221-13−3-1100−33−3300−2i2ii3−i30000−ii−ii1-103−3000000i−i−i3i30000000000
χ562-2-222-1-2221-21-1-2-22-11-11002-1-21−33−330000−2i2i−2i2i−i3i3−i3i30-221-13−3-1100−33−33002i−2i−i3i30000i−ii−i1-103−3000000−iii3−i30000000000
χ5744444-2-4-44-24-2-2400-2-2-2-200-42-42000000440000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ5844444-2-4-44-24-2-2400-2-2-2-200-42-42000000-4-4000022220000000220000004000-2-2000000000000000000000000000000000
χ594444-24-4-4-24-244-200-2-2-2-2002-42-400004400000000000000000220000000-4000000-2-200000000000000200000000000000
χ604444-24-4-4-24-244-200-2-2-2-2002-42-40000-4-40000000000000000022000000040000002200000000000000-200000000000000
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
χ6544-4-44400-4-444-4-40044-4-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-44400-4-444-4-40044-4-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-44-200-424-22-400-2-2220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ6844-4-44-200-424-22-400-2-2220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ6944-4-44-200-424-22-400-2-222000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ7044-4-44-200-424-22-400-2-222000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ714-44-44-200-4-2-422400-222-222−220000−2−222004i−4i−2i2−2i22i22i2−2i−2i2i2i00000000022−22−2−2220000000000i2i2−i2−i20000000000000000000000000
χ724-44-44-200-4-2-422400-222-222−220000−2−22200−4i4i2i22i2−2i2−2i22i2i−2i−2i00000000022−22−2−2220000000000−i2−i2i2i20000000000000000000000000
χ734-44-44-200-4-2-422400-222-2−2222000022−2−2004i−4i2i22i2−2i2−2i2−2i−2i2i2i000000000−222222−2−20000000000−i2−i2i2i20000000000000000000000000
χ744-44-44-200-4-2-422400-222-2−2222000022−2−200−4i4i−2i2−2i22i22i22i2i−2i−2i000000000−222222−2−20000000000i2i2−i2−i20000000000000000000000000
χ754-44-4-2400242-4-4-200-222-222−2200002222−22−224-40000000000000000000−22−2−22200000022−22-22000000000000000000000−22000000
χ764-44-4-2400242-4-4-200-222-222−2200002222−22−22-440000000000000000000−22−2−222000000−22222-20000000000000000000002−2000000
χ774-44-4-2400242-4-4-200-222-2−22220000−22−2222224-400000000000000000002−222−2−2000000−2222-220000000000000000000002−2000000
χ784-44-4-2400242-4-4-200-222-2−22220000−22−222222-4400000000000000000002−222−2−200000022−222-2000000000000000000000−22000000
χ794-4-44444-44-4-4-44-4004-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-442-42-2-400-22-2200-424-2000000000000−2i32i3−2i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ814-4-444-24-442-42-2-400-22-2200-424-20000000000002i3−2i32i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ824-4-44-244-4-2-42-44200-22-22002-4-24000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ834-4-44-244-4-2-42-44200-22-22002-4-24000000000000000000000002-200000000000000000000000000000000000−232300000000
χ844-4-44-24-44-2-42-4424-4-22-2200-242-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ854-4-44-24-44-2-42-442-44-22-2200-242-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ864-4-44-2-2-44-2222-224-41-11-100-2-22223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ874-4-44-2-2-44-2222-224-41-11-100-2-222−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ884-4-44-2-2-44-2222-22-441-11-100-2-22223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ894-4-44-2-2-44-2222-22-441-11-100-2-222−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-48004-8-48-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-4440022-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-40044-4-4440022-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-4004-4444-4002-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ958-88-8-4-4004-4444-4002-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ968-8-88-4-48-8-4444-44002-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000

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