Finite Group Databasebeta

← Group #11889089

Character table — Group #11889089

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666223666121212122246666812121212242424242424242424444666688121266121212224666681212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1111111-1111-1-11-1-1111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-111-11111-1-1-11-1-1-1-111-1-1-11-1
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-11-1-111-1-1-1111-1-111-1-111-1-11
χ5111111111111111111111111-1-11111111111111111111-1111-1-111111111111-11-1-1-111-111-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-1-1-1111-11
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1111111-1-111-1
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-11-1-1-1-1-1111-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1111-111-1-111-1-1-11-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-11111-1-111-1-1111-111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111111-1-1-1111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-111111111111-11-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-2000000002-2-200222200-2-2000000000000000-20000-2200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-220022-2-20022000000000000000-200002-200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-200-2-22200-2-2000000000000000200002-200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000-22200-2-2-2-2002200000000000000020000-2200000
χ2122222-12222-1-1-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-12022200-1-122-1-1-1-12-1-102000-1-10-1-1000-1-10000000
χ2222222-12222-1-1-1222-1-1-1-1-122-100222-1-12-1-1-1-122-1-1-1-1-1-1-20-2-2-20011-2-211-1-12-1-10-200011011000110000000
χ2322222-12222-1-1-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-2111111202-2-200-1-1-2-2-1-1-1-1-21102000-1-1011000110000000
χ2422222-12222-1-1-1222-1-1-1-1-122-100-222-1-1-211-1-1-2-2111111-20-22200112211-1-1-2110-2000110-1-1000-1-10000000
χ2522222-12222-1-1-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-21111112022200-1-1-2-2-1-1112-1-10-2000110-1-1000110000000
χ2622222-12222-1-1-12-2-2-1-1-1-1-122-1002-2-211-2-1-1-1-1-2-2111111-20-2-2-200112211112-1-102000-1-1011000-1-10000000
χ2722222-12222-1-1-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-1202-2-200-1-122-1-111-2110-200011011000-1-10000000
χ2822222-12222-1-1-12-2-2-1-1-1-1-122-100-2-2-211211-1-122-1-1-1-1-1-1-20-2220011-2-21111-21102000-1-10-1-1000110000000
χ292222-1222-1-1222-122-1-1-1-12-1-12222-1-122222-1-1-1-122-1-1-1-102000-1-1000000-1-1-1-1-1202-1-100200-1-1-1000000-100
χ302222-1222-1-1222-122-1-1-1-12-1-1222-2-1-122-2-2-2-1-111-2-2111102000-1-1000000-1-111120-2-1-100-200-111000000100
χ312222-1222-1-1222-122-1-1-1-12-1-12-2-22-1-122222-1-1-1-122-1-1-1-10-200011000000-1-1-1-1-1-20-21100-200111000000100
χ322222-1222-1-1222-122-1-1-1-12-1-12-2-2-2-1-122-2-2-2-1-111-2-211110-200011000000-1-1111-20211002001-1-1000000-100
χ332222-1222-1-1222-1-2-2-1-1-1-12-1-1222211-2-2-222-1-111-2-2111102000-1-100000011-1-1-1-2021100-200-111000000-100
χ342222-1222-1-1222-1-2-2-1-1-1-12-1-1222-211-2-22-2-2-1-1-1-122-1-1-1-102000-1-100000011111-20-21100200-1-1-1000000100
χ352222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2211-2-2-222-1-111-2-211110-20001100000011-1-1-120-2-1-1002001-1-1000000100
χ362222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2-211-2-22-2-2-1-1-1-122-1-1-1-10-20001100000011111202-1-100-200111000000-100
χ372-22-2222-2-2-2-22-222-22-22-22-22-20002-22-20002-2000000000002i−2i00002i−2i002-2000000000002i−2i0002i−2i0000000
χ382-22-2222-2-2-2-22-222-22-22-22-22-20002-22-20002-200000000000−2i2i0000−2i2i002-200000000000−2i2i000−2i2i0000000
χ392-22-2222-2-2-2-22-22-222-22-22-22-2000-22-220002-2000000000002i−2i0000−2i2i00-22000000000002i−2i000−2i2i0000000
χ402-22-2222-2-2-2-22-22-222-22-22-22-2000-22-220002-200000000000−2i2i00002i−2i00-2200000000000−2i2i0002i−2i0000000
χ412-22-22-12-2-2-21-1122-2-11-11-1-2210002-2-1103−3-11003−333−3−30002i−2i00−i3i32i−2i−i3i3-1103−300000−i3i30−ii000−ii0000000
χ422-22-22-12-2-2-21-1122-2-11-11-1-2210002-2-1103−3-11003−333−3−3000−2i2i00i3−i3−2i2ii3−i3-1103−300000i3−i30i−i000i−i0000000
χ432-22-22-12-2-2-21-1122-2-11-11-1-2210002-2-110−33-1100−33−3−3330002i−2i00i3−i32i−2ii3−i3-110−3300000i3−i30−ii000−ii0000000
χ442-22-22-12-2-2-21-1122-2-11-11-1-2210002-2-110−33-1100−33−3−333000−2i2i00−i3i3−2i2i−i3i3-110−3300000−i3i30i−i000i−i0000000
χ452-22-22-12-2-2-21-112-22-11-11-1-221000-221-103−3-1100−33−3−3330002i−2i00−i3i3−2i2i−i3i31-103−300000i3−i30−ii000i−i0000000
χ462-22-22-12-2-2-21-112-22-11-11-1-221000-221-103−3-1100−33−3−333000−2i2i00i3−i32i−2ii3−i31-103−300000−i3i30i−i000−ii0000000
χ472-22-22-12-2-2-21-112-22-11-11-1-221000-221-10−33-11003−333−3−30002i−2i00i3−i3−2i2ii3−i31-10−3300000−i3i30−ii000i−i0000000
χ482-22-22-12-2-2-21-112-22-11-11-1-221000-221-10−33-11003−333−3−3000−2i2i00−i3i32i−2i−i3i31-10−3300000i3−i30i−i000−ii0000000
χ4944444-2-4-444-2-2-2400-2-2-2-22-4-420000000000220000000040-40000-2-20022000000000000000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-22-4-4200000000002200000000-40400002200-2-2000000000000000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2-422-4440000000022000000000-4000-2-2000000000000000000000200000000000
χ524444-24-4-4-2-2444-200-2-2-2-2-422-4-4-40000000022000000000400022000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-24-2-211-2-2-2-21111000000000000011-2110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-422112222-1-1-1-10000000000000112-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4-2-2112222-1-1-1-10000000000000-1-1-2110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222242211-2-2-2-211110000000000000-1-12-1-10000000000000000000000
χ5744-4-44400-444-4-4-4004-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-44400-444-4-4-4004-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-444-44-4-4-44-44004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ604-44-44-2-44-4-42-22400-22-2224-4-200000000002-2000000000000000−2i32i3002i3−2i3000000000000000000000000000
χ614-44-44-2-44-4-42-22400-22-2224-4-200000000002-20000000000000002i3−2i300−2i32i3000000000000000000000000000
χ624-44-4-244-422-44-4-24-4-22-2242-2-4000-224-4000-22000000000000000000000-220000000000000000000000000
χ634-44-4-244-422-44-4-2-44-22-2242-2-40002-2-44000-220000000000000000000002-20000000000000000000000000
χ644-44-4-24-4422-44-4-200-22-22-4-22400000000002-200000000000000000000000000000−2i32i300000000000000000
χ654-44-4-24-4422-44-4-200-22-22-4-22400000000002-2000000000000000000000000000002i3−2i300000000000000000
χ664-44-4-2-24-4222-22-24-41-11-1-22-22000-22-22023−231-10023−23−3−33300000000000001-10−330000000000000000000000
χ674-44-4-2-24-4222-22-24-41-11-1-22-22000-22-220−23231-100−232333−3−300000000000001-103−30000000000000000000000
χ684-44-4-2-24-4222-22-2-441-11-1-22-220002-22-2023−231-100−232333−3−30000000000000-110−330000000000000000000000
χ694-44-4-2-24-4222-22-2-441-11-1-22-220002-22-20−23231-10023−23−3−3330000000000000-1103−30000000000000000000000
χ704-4-4444004-4-4-44-40044-4-400004-4000000000000000000000004-4000000000000000000000000000000000
χ714-4-4444004-4-4-44-40044-4-40000-4400000000000000000000000-44000000000000000000000000000000000
χ724-4-44-2400-22-4-44200-2-22200004-400000000006−6006−66−600000-2200000000000000000000006−6000000000
χ734-4-44-2400-22-4-44200-2-22200004-40000000000−6600−66−6600000-220000000000000000000000−66000000000
χ744-4-44-2400-22-4-44200-2-2220000-4400000000006−6006−66−6000002-20000000000000000000000−66000000000
χ754-4-44-2400-22-4-44200-2-2220000-440000000000−6600−66−66000002-200000000000000000000006−6000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-88-444-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-48-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4-4444002-2-220000000000000000000032−32−32320000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-4444002-2-2200000000000000000000−323232−320000000000000000000000000000000000000000
χ818-88-8-4-4-88444-44-4002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ828-8-888-4008-844-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-440022-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440022-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000

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