Finite Group Databasebeta

← Group #11888143

Character table — Group #11888143

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666662236668812121212242424244444888812121212466661212121224242424242422446688121224242424661212124424461212121212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-11111-1-1-1-1111111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-11111-1-1-1-111111-1-11-111-1-1-1-11111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111-1111-1-11111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-11111-1-111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1111-1-1-111-1-1-1-1111-1-11-11
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
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111
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
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-11-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-11111-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111-1-111-11-1-111-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-111-1-1-11111111-1-1-11-1
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
χ2122222-122-12-122-122-1-1-1-1222-1-122222002200000000222-1-122-1-1-1-1-1-1-1-102000022-1-10000-1-1-1-1-100202-10000-1-1-1-1000-100
χ2222222-122-12-122-122-1-1-1-1222-1-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-10-20000-2-2110000-1-1-1-1-100-20-2100001111000100
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-2002200000000-222-1-1-2-2-1-1111111020000-2-2-1-10000-1-111100-202-10000-1-111000100
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000-222-1-1-2-2-1-11111110-2000022110000-1-11110020-21000011-1-1000-100
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-102000022-1-100001111100-20-2-1000011-1-1000100
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-10-20000-2-2110000111110020210000-1-111000-100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-20022000000002-2-21122-1-1111111020000-2-2-1-1000011-1-1-10020-2-100001111000-100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-200-2-2000000002-2-21122-1-11111110-200002211000011-1-1-100-20210000-1-1-1-1000100
χ292222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-12022-1-10000-1-1-1-1-1-12-1-1000200-1-1-1-10000000000
χ302222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-20-2-21100001111-1-12-1-1000-20011110000000000
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-111112200-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-2111120-2-2-1-100001111-1-1-21100020011-1-10000000000
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-11111-2-20022221111-2-1-12211-1-1-2-21111-2022110000-1-1-1-1-1-1-211000-200-1-1110000000000
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-120-2-2-1-10000-1-1-1-111-211000-20011110000000000
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-1-2022110000111111-211000200-1-1-1-10000000000
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-111112200-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-211112022-1-100001111112-1-1000-200-1-1110000000000
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-20022221111211-2-2-1-1-1-1-2-21111-20-2-2110000-1-1-1-1112-1-100020011-1-10000000000
χ3722-2-2222-2-2-2-2-2222-22-22-2002-22-2000000002i2i−2i−2i000002-22-2002-2000000002i−2i0000002i2i−2i−2i2-20000000002i−2i000000000000
χ3822-2-2222-2-2-2-2-2222-22-22-2002-22-200000000−2i−2i2i2i000002-22-2002-200000000−2i2i000000−2i−2i2i2i2-2000000000−2i2i000000000000
χ3922-2-2222-2-2-2-2-222-222-22-2002-22-2000000002i2i−2i−2i00000-22-22002-200000000−2i2i0000002i2i−2i−2i-22000000000−2i2i000000000000
χ4022-2-2222-2-2-2-2-222-222-22-2002-22-200000000−2i−2i2i2i00000-22-22002-2000000002i−2i000000−2i−2i2i2i-220000000002i−2i000000000000
χ4122-2-2-122-2-21-21-122-2-11-1100-1-22133−3−300002i2i−2i−2i−i3−i3i3i30-112-23−3-110033−3−3002i−2i−i3i30000−i−iii-1103−3000000−ii−i3i30000000000
χ4222-2-2-122-2-21-21-122-2-11-1100-1-22133−3−30000−2i−2i2i2ii3i3−i3−i30-112-23−3-110033−3−300−2i2ii3−i30000ii−i−i-1103−3000000i−ii3−i30000000000
χ4322-2-2-122-2-21-21-122-2-11-1100-1-221−3−33300002i2i−2i−2ii3i3−i3−i30-112-2−33-1100−3−333002i−2ii3−i30000−i−iii-110−33000000−iii3−i30000000000
χ4422-2-2-122-2-21-21-122-2-11-1100-1-221−3−3330000−2i−2i2i2i−i3−i3i3i30-112-2−33-1100−3−33300−2i2i−i3i30000ii−i−i-110−33000000i−i−i3i30000000000
χ4522-2-2-122-2-21-21-12-22-11-1100-1-22133−3−300002i2i−2i−2i−i3−i3i3i301-1-22−33-110033−3−300−2i2i−i3i30000−i−iii1-10−33000000i−ii3−i30000000000
χ4622-2-2-122-2-21-21-12-22-11-1100-1-22133−3−30000−2i−2i2i2ii3i3−i3−i301-1-22−33-110033−3−3002i−2ii3−i30000ii−i−i1-10−33000000−ii−i3i30000000000
χ4722-2-2-122-2-21-21-12-22-11-1100-1-221−3−33300002i2i−2i−2ii3i3−i3−i301-1-223−3-1100−3−33300−2i2ii3−i30000−i−iii1-103−3000000i−i−i3i30000000000
χ4822-2-2-122-2-21-21-12-22-11-1100-1-221−3−3330000−2i−2i2i2i−i3−i3i3i301-1-223−3-1100−3−333002i−2i−i3i30000ii−i−i1-103−3000000−iii3−i30000000000
χ492-2-2222002-2-22-2-20022-2-2−i2i20000−i2i2−i2i22i−2i2i−2i2−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i20000002−22i−2i2−22−2000002-200000000002−20−i2i2000
χ502-2-2222002-2-22-2-20022-2-2−i2i20000−i2i2−i2i22i−2i−2i2i2−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i2000000−22−2i2i2−22−200000-220000000000−220i2−i2000
χ512-2-2222002-2-22-2-20022-2-2−i2i20000−i2i2−i2i2−2i2i2i−2i−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i20000002−22i−2i−22−2200000-2200000000002−20i2−i2000
χ522-2-2222002-2-22-2-20022-2-2−i2i20000−i2i2−i2i2−2i2i−2i2i−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i2000000−22−2i2i−22−22000002-20000000000−220−i2i2000
χ532-2-2222002-2-22-2-20022-2-2i2−i20000i2−i2i2−i22i−2i2i−2i−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i2000000−222i−2i−22−22000002-20000000000−220i2−i2000
χ542-2-2222002-2-22-2-20022-2-2i2−i20000i2−i2i2−i22i−2i−2i2i−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i20000002−2−2i2i−22−2200000-2200000000002−20−i2i2000
χ552-2-2222002-2-22-2-20022-2-2i2−i20000i2−i2i2−i2−2i2i2i−2i2−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i2000000−222i−2i2−22−200000-220000000000−220−i2i2000
χ562-2-2222002-2-22-2-20022-2-2i2−i20000i2−i2i2−i2−2i2i−2i2i2−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i20000002−2−2i2i2−22−2000002-200000000002−20i2−i2000
χ5744444-2-4-4-24-244-200-2-2-2-200-422-400000044000000000000000220000000-4000000-2-200000000000000200000000000000
χ5844444-2-4-4-24-244-200-2-2-2-200-422-4000000-4-400000000000000022000000040000002200000000000000-200000000000000
χ594444-24-4-44-24-2-2400-2-2-2-2002-4-42000044000000-2-2-2-2000000022000000-400022000000000000000000000000000000000
χ604444-24-4-44-24-2-2400-2-2-2-2002-4-420000-4-400000022220000000220000004000-2-2000000000000000000000000000000000
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
χ6544-4-444-44-4-4-4-444004-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-42-42-44-24-4-22-220042-2-4000000000000000004-4-2200-2200000000000000000000-2200000000000000000000000
χ6744-4-44-24-42-42-44-2-44-22-220042-2-400000000000000000-442-200-22000000000000000000002-200000000000000000000000
χ6844-4-44-2-442-42-44-200-22-2200-4-224000000000000000000000002-200000000000000000000000000000000000−2i32i300000000
χ6944-4-44-2-442-42-44-200-22-2200-4-224000000000000000000000002-2000000000000000000000000000000000002i3−2i300000000
χ7044-4-4-24-44-42-42-2400-22-220024-4-2000000000000−2i3−2i32i32i300000002-200000000002i3−2i3000000000000000000000000000000000
χ7144-4-4-24-44-42-42-2400-22-220024-4-20000000000002i32i3−2i3−2i300000002-20000000000−2i32i3000000000000000000000000000000000
χ7244-4-4-2-24-42222-2-24-41-11-100-22-222323−23−230000000000000-22-2223−231-100−3−333000000000000001-10−3300000000000000000000
χ7344-4-4-2-24-42222-2-24-41-11-100-22-22−23−2323230000000000000-22-22−23231-10033−3−3000000000000001-103−300000000000000000000
χ7444-4-4-2-24-42222-2-2-441-11-100-22-222323−23−2300000000000002-22-2−23231-100−3−33300000000000000-1103−300000000000000000000
χ7544-4-4-2-24-42222-2-2-441-11-100-22-22−23−23232300000000000002-22-223−231-10033−3−300000000000000-110−3300000000000000000000
χ764-44-44400-444-4-4-4004-4-4400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ774-44-44400-444-4-4-4004-4-44000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ784-44-4-2400-4-2422-400-222-2000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ794-44-4-2400-4-2422-400-222-2000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ804-44-4-2400-4-2422-400-222-2000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ814-44-4-2400-4-2422-400-222-2000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ824-4-444-200-2-424-4200-2-222−2i22i20000−2i22i2−2i22i2004i−4i00000000000000000i2−i2i2−i2i2−i200000022−22−2i2i000000000000000000000−22000000
χ834-4-444-200-2-424-4200-2-222−2i22i20000−2i22i2−2i22i200−4i4i00000000000000000i2−i2i2−i2i2−i2000000−22222i−2i0000000000000000000002−2000000
χ844-4-444-200-2-424-4200-2-2222i2−2i200002i2−2i22i2−2i2004i−4i00000000000000000−i2i2−i2i2−i2i2000000−2222−2i2i0000000000000000000002−2000000
χ854-4-444-200-2-424-4200-2-2222i2−2i200002i2−2i22i2−2i200−4i4i00000000000000000−i2i2−i2i2−i2i200000022−222i−2i000000000000000000000−22000000
χ864-4-44-240042-4-22-400-2-222−2i22i20000i2−i2i2−i24i−4i0022−2222−22−2i2i−2i2i000000000−2i22i2i2−i2i2−i20000000000−22−220000000000000000000000000
χ874-4-44-240042-4-22-400-2-222−2i22i20000i2−i2i2−i2−4i4i00−2222−22222i−2i2i−2i000000000−2i22i2i2−i2i2−i200000000002−22−20000000000000000000000000
χ884-4-44-240042-4-22-400-2-2222i2−2i20000−i2i2−i2i24i−4i00−2222−2222−2i2i−2i2i0000000002i2−2i2−i2i2−i2i200000000002−22−20000000000000000000000000
χ894-4-44-240042-4-22-400-2-2222i2−2i20000−i2i2−i2i2−4i4i0022−2222−222i−2i2i−2i0000000002i2−2i2−i2i2−i2i20000000000−22−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-884444-4-4002-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-88-40048-4-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-4-4444002-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ948-88-8-4-4004-4-4444002-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ958-8-88-4-400-444-4440022-2-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ968-8-88-4-400-444-4440022-2-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000

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