Finite Group Databasebeta

← Group #11887434

Character table — Group #11887434

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242422448888121212124121212121212121224242424242422246666882424242412121212124444466121212121224244881222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1111-1-111-1-1-1-111111-1-1-111-1-11-1-11111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1111111111-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-11111-1-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-11-1111-1-111-1-1-111-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-111-1-1111-1-1-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-11-11-1-1111-1-1-1-1-11111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-1-11-111-1-1-11111-111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-11111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-200-222-2-2000000000002200000-2000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000200-2222200000000000-2-200000-2000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-2000000-2002-2-2-2-200000000000-2-2000002000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000002002-2-2220000000000022000002000000-200000
χ2122222-1222-12-1-12-122-1-1-122-122-1-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-1222000-1-100-1-1-1-12-1-1-1-100200-1-10-1-10000000000
χ2222222-1222-12-1-12-122-1-1-122-122-1-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000110011112-1-1-1-100-200110110000000000
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-211112-2-2000-1-1001111-2-1-11100200110-1-10000000000
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-1111100-2-222221111-2-1-11122-1-1-2-21111-2220001100-1-1-1-1-2-1-11100-200-1-10110000000000
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-12-2-2000-1-100-1-1-1-1-2111100-200110110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-1-22200011001111-2111100200-1-10-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-21111222000-1-1001111211-1-100-200-1-10110000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1111100-2-222221111211-1-1-2-2-1-1-2-21111-2-2-20001100-1-1-1-1211-1-100200110-1-10000000000
χ292222-1222-12-122-1-122-1-1-1222-1-12222222000000000022222-1-1-1-1-1-1-1-1-1-10002-1-100220000-1-1-1-1-10002200-100-1-1-1-1000-100
χ302222-1222-12-122-1-122-1-1-1222-1-122222-2-2000000000022222-1-1-1-1-1-1-1-1-1-1000-21100-2-20000-1-1-1-1-1000-2-2001001111000100
χ312222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-2220000000000-222-2-2-1-1-1-11111110002-1-100-2-200001-1-1110002-200-100-1-111000100
χ322222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-2-2-20000000000-222-2-2-1-1-1-1111111000-211002200001-1-111000-220010011-1-1000-100
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-122222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-10002-1-10022000011111000-2-200-10011-1-1000100
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-122222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-21100-2-20000111110002200100-1-111000-100
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-22200000000002-2-22211-1-11111110002-1-100-2-20000-111-1-1000-2200-1001111000-100
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2-2-200000000002-2-22211-1-1111111000-21100220000-111-1-10002-200100-1-1-1-1000100
χ3722-2-2222-2-2-222-2-222i−2i-2-22002-22-2000000002i2i−2i−2i000002i−2i002i−2i2-200000002-200000002i2i−2i−2i02i−2i00000002-20000000000000
χ3822-2-2222-2-2-222-2-222i−2i-2-22002-22-200000000−2i−2i2i2i000002i−2i002i−2i2-20000000-220000000−2i−2i2i2i02i−2i0000000-220000000000000
χ3922-2-2222-2-2-222-2-22−2i2i-2-22002-22-2000000002i2i−2i−2i00000−2i2i00−2i2i2-20000000-2200000002i2i−2i−2i0−2i2i0000000-220000000000000
χ4022-2-2222-2-2-222-2-22−2i2i-2-22002-22-200000000−2i−2i2i2i00000−2i2i00−2i2i2-200000002-20000000−2i−2i2i2i0−2i2i00000002-20000000000000
χ4122-2-22-12-2-212-11-2-12i−2i11-100-1-22133−3−300002i2i−2i−2i−i3−i3i3i30−ii−i3i32i−2i-110033−3−302-2000−i3i300−i−iii0−ii−i3i300000-1103−30000000000
χ4222-2-22-12-2-212-11-2-12i−2i11-100-1-22133−3−30000−2i−2i2i2ii3i3−i3−i30−ii−i3i32i−2i-110033−3−30-22000i3−i300ii−i−i0−ii−i3i3000001-10−330000000000
χ4322-2-22-12-2-212-11-2-12i−2i11-100-1-221−3−33300002i2i−2i−2ii3i3−i3−i30−iii3−i32i−2i-1100−3−33302-2000i3−i300−i−iii0−iii3−i300000-110−330000000000
χ4422-2-22-12-2-212-11-2-12i−2i11-100-1-221−3−3330000−2i−2i2i2i−i3−i3i3i30−iii3−i32i−2i-1100−3−3330-22000−i3i300ii−i−i0−iii3−i3000001-103−30000000000
χ4522-2-22-12-2-212-11-2-1−2i2i11-100-1-22133−3−300002i2i−2i−2i−i3−i3i3i30i−ii3−i3−2i2i-110033−3−30-22000−i3i300−i−iii0i−ii3−i3000001-10−330000000000
χ4622-2-22-12-2-212-11-2-1−2i2i11-100-1-22133−3−30000−2i−2i2i2ii3i3−i3−i30i−ii3−i3−2i2i-110033−3−302-2000i3−i300ii−i−i0i−ii3−i300000-1103−30000000000
χ4722-2-22-12-2-212-11-2-1−2i2i11-100-1-221−3−33300002i2i−2i−2ii3i3−i3−i30i−i−i3i3−2i2i-1100−3−3330-22000i3−i300−i−iii0i−i−i3i3000001-103−30000000000
χ4822-2-22-12-2-212-11-2-1−2i2i11-100-1-221−3−3330000−2i−2i2i2i−i3−i3i3i30i−i−i3i3−2i2i-1100−3−33302-2000−i3i300ii−i−i0i−i−i3i300000-110−330000000000
χ492-22-222002-2-2-22-22002-2-22−200002−22−22-22i−2i−i2i2−i2i22i−2i2i−2i0000000002−22−22−200002-2002−2−i2i2−i2i2000002i−2i00000000002−20−i2i2000
χ502-22-222002-2-2-22-22002-2-22−200002−22−22-2−2i2ii2−i2i2−i2−2i2i−2i2i0000000002−22−22−200002-2002−2i2−i2i2−i200000−2i2i00000000002−20i2−i2000
χ512-22-222002-2-2-22-22002-2-22−200002−22−2-222i−2i−i2i2−i2i22i−2i2i−2i0000000002−22−22−20000-2200−22−i2i2−i2i200000−2i2i0000000000−220i2−i2000
χ522-22-222002-2-2-22-22002-2-22−200002−22−2-22−2i2ii2−i2i2−i2−2i2i−2i2i0000000002−22−22−20000-2200−22i2−i2i2−i2000002i−2i0000000000−220−i2i2000
χ532-22-222002-2-2-22-22002-2-2−220000−22−222-22i−2ii2−i2i2−i22i−2i2i−2i000000000−22−22−2200002-200−22i2−i2i2−i2000002i−2i0000000000−220i2−i2000
χ542-22-222002-2-2-22-22002-2-2−220000−22−222-2−2i2i−i2i2−i2i2−2i2i−2i2i000000000−22−22−2200002-200−22−i2i2−i2i200000−2i2i0000000000−220−i2i2000
χ552-22-222002-2-2-22-22002-2-2−220000−22−22-222i−2ii2−i2i2−i22i−2i2i−2i000000000−22−22−220000-22002−2i2−i2i2−i200000−2i2i00000000002−20−i2i2000
χ562-22-222002-2-2-22-22002-2-2−220000−22−22-22−2i2i−i2i2−i2i2−2i2i−2i2i000000000−22−22−220000-22002−2−i2i2−i2i2000002i−2i00000000002−20i2−i2000
χ5744444-2-4-44-24-2-24-200-2-2-2002-4-42000000440000-2-2-2-2000000022000000-400000220000000000000000000000000000000
χ5844444-2-4-44-24-2-24-200-2-2-2002-4-42000000-4-400002222000000022000000400000-2-20000000000000000000000000000000
χ594444-24-4-4-24-244-2-200-2-2-200-422-40000440000000000000000022000000000-4-2-2000000000000000000002000000000000
χ604444-24-4-4-24-244-2-200-2-2-200-422-40000-4-4000000000000000002200000000042200000000000000000000-2000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-444-44-4-444-4-4400-4-4400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-2-44-424-22-4-20022-20024-4-2000000000000−2i3−2i32i32i300000002-20000000000002i3−2i30000000000000000000000000000000
χ6744-4-44-2-44-424-22-4-20022-20024-4-20000000000002i32i3−2i3−2i300000002-2000000000000−2i32i30000000000000000000000000000000
χ6844-4-4-244-42-4-24-42-24i−4i22-20042-2-4000000000000000004i−4i00−2i2i-22000000000000000000000−2i2i0000000000000000000000
χ6944-4-4-244-42-4-24-42-2−4i4i22-20042-2-400000000000000000−4i4i002i−2i-220000000000000000000002i−2i0000000000000000000000
χ7044-4-4-24-442-4-24-42-20022-200-4-224000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ7144-4-4-24-442-4-24-42-20022-200-4-224000000000000000000000002-200000000000000000000000000000000000−232300000000
χ7244-4-4-2-24-422-2-22214i−4i-1-1100-22-222323−23−230000000000000−2i2i−2i32i3−2i2i1-100−3−333000000000000000i−ii3−i300000000000000000000
χ7344-4-4-2-24-422-2-22214i−4i-1-1100-22-22−23−2323230000000000000−2i2i2i3−2i3−2i2i1-10033−3−3000000000000000i−i−i3i300000000000000000000
χ7444-4-4-2-24-422-2-2221−4i4i-1-1100-22-222323−23−2300000000000002i−2i2i3−2i32i−2i1-100−3−333000000000000000−ii−i3i300000000000000000000
χ7544-4-4-2-24-422-2-2221−4i4i-1-1100-22-22−23−23232300000000000002i−2i−2i32i32i−2i1-10033−3−3000000000000000−iii3−i300000000000000000000
χ764-44-44-20042-42-2-4-200-22222−220000−22−22004i−4i−2i22i2−2i22i2−2i2i−2i2i00000000022−22−22−220000000000i2−i2i2−i20000000000000000000000000
χ774-44-44-20042-42-2-4-200-22222−220000−22−2200−4i4i2i2−2i22i2−2i22i−2i2i−2i00000000022−22−22−220000000000−i2i2−i2i20000000000000000000000000
χ784-44-44-20042-42-2-4-200-222−222200002−22−2004i−4i2i2−2i22i2−2i2−2i2i−2i2i000000000−22222−22−20000000000−i2i2−i2i20000000000000000000000000
χ794-44-44-20042-42-2-4-200-222−222200002−22−200−4i4i−2i22i2−2i22i22i−2i2i−2i000000000−22222−22−20000000000i2−i2i2−i20000000000000000000000000
χ804-44-4-2400-2-42-442-200-22222−22000022−2222−224-40000000000000000000−22−22−220000-220022−22000000000000000000000−22000000
χ814-44-4-2400-2-42-442-200-22222−22000022−2222−22-440000000000000000000−22−22−2200002-200−22220000000000000000000002−2000000
χ824-44-4-2400-2-42-442-200-222−22220000−2222−22224-400000000000000000002−22−22−20000-2200−22220000000000000000000002−2000000
χ834-44-4-2400-2-42-442-200-222−22220000−2222−2222-4400000000000000000002−22−22−200002-20022−22000000000000000000000−22000000
χ844-4-444400-44-4-4-44400-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-44-4-4-44400-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ864-4-444-200-4-2-4224-2002-220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ874-4-444-200-4-2-4224-2002-220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ884-4-444-200-4-2-4224-2002-22000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ894-4-444-200-4-2-4224-2002-22000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-8844-4-444200-2-22004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-8-4-400-4444-442002-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ938-88-8-4-400-4444-442002-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000
χ948-8-88-4800484-8-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-4444-4200-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-4004-4444-4200-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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