Finite Group Databasebeta

← Group #11889704

Character table — Group #11889704

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666223666121212124666681212121224242424242424242444446688881212121266121212224441212121212121224242424412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-111-111111-1-111-1-111111-1-1-1-11-11111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-11-1-1-1-1-111-1-11111111-1-111-11-1-1-1-111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1111-111-1-11111-1-1-1-11-11-1-1
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-11-111
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1-11-1-1111-1-11111-1-1-1-1-111
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111-11-1-111-1-1-1-11111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111-11-1111-1-1-1-1-1-1-1-111-11-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1111-1-11111-1-1-1-1111-1-11-1-1-111-1-111-1-111-1-11-11
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-111-1-1111-1-1-1111-1-111-1-111-1-1-111-11
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1111111111-1-11-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-1111111111111-1-1111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-11-1-111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222002222-2-2-2-200000000-2-2000000002200-2-2220000-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-2000000002-2002-2220000-2-22200000-2-2000-2000000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-2200-22-2-2000022-2-200000-2-20002000000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-2-20022-2-2000022220000022000-20000000000-20000
χ2122222-122-122-1-1222-1-1-1-12-12-1222-1-12-1-1-1-122-1-1-1-1-1-1202202-1-12200-1-100-1-12-1-1000020-1-1-1-100-1-10000000
χ2222222-122-122-1-1222-1-1-1-12-12-1222-1-12-1-1-1-122-1-1-1-1-1-1-20-2-20-211-2-2001100-1-12-1-10000-20111100110000000
χ2322222-122-122-1-1222-1-1-1-12-12-1-222-1-1-211-1-1-2-211111120-2-202-1-1-2-200-1-100-1-1-21100002011-1-100110000000
χ2422222-122-122-1-1222-1-1-1-12-12-1-222-1-1-211-1-1-2-2111111-20220-21122001100-1-1-2110000-20-1-11100-1-10000000
χ2522222-122-122-1-12-2-2-1-1-1-12-12-12-2-211-2-1-1-1-1-2-2111111202202-1-1-2-200-1-100112-1-10000-20-1-11100110000000
χ2622222-122-122-1-12-2-2-1-1-1-12-12-12-2-211-2-1-1-1-1-2-2111111-20-2-20-21122001100112-1-100002011-1-100-1-10000000
χ2722222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-211211-1-122-1-1-1-1-1-120-2-202-1-12200-1-10011-2110000-20111100-1-10000000
χ2822222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-211211-1-122-1-1-1-1-1-1-20220-211-2-200110011-211000020-1-1-1-100110000000
χ292222-12222-1-122-122-1-1-1-1-12-122-1-122222-1-1-1-122-1-1-1-102002000002200-1-1-1-1-1-1-100220-10000-1-100-1-10-1000
χ302222-12222-1-122-122-1-1-1-1-12-122-1-122222-1-1-1-122-1-1-1-10-200-200000-2-20011-1-1-1-1-100-2-201000011001101000
χ312222-12222-1-122-122-1-1-1-1-12-12-2-1-122-2-2-2-1-111-2-211110200200000-2-200-1-1-1-1111002-20-10000-1-1001101000
χ322222-12222-1-122-122-1-1-1-1-12-12-2-1-122-2-2-2-1-111-2-211110-200-200000220011-1-111100-220100001100-1-10-1000
χ332222-12222-1-122-1-2-2-1-1-1-1-12-12211-2-2-222-1-111-2-211110200200000-2-200-1-111-1-1-100-220-100001100110-1000
χ342222-12222-1-122-1-2-2-1-1-1-1-12-12211-2-2-222-1-111-2-211110-200-20000022001111-1-1-1002-2010000-1-100-1-101000
χ352222-12222-1-122-1-2-2-1-1-1-1-12-12-211-2-22-2-2-1-1-1-122-1-1-1-102002000002200-1-11111100-2-20-100001100-1-101000
χ362222-12222-1-122-1-2-2-1-1-1-1-12-12-211-2-22-2-2-1-1-1-122-1-1-1-10-200-200000-2-20011111110022010000-1-100110-1000
χ372-2-2222-22-22-2-22-22-22-22-222-2-202-22-20002-200000000002i−2i00002i−2i0000002-20000000002i−2i00002i−2i0000000
χ382-2-2222-22-22-2-22-22-22-22-222-2-202-22-20002-20000000000−2i2i0000−2i2i0000002-2000000000−2i2i0000−2i2i0000000
χ392-2-2222-22-22-2-22-2-222-22-222-2-20-22-220002-200000000002i−2i0000−2i2i000000-220000000002i−2i0000−2i2i0000000
χ402-2-2222-22-22-2-22-2-222-22-222-2-20-22-220002-20000000000−2i2i00002i−2i000000-22000000000−2i2i00002i−2i0000000
χ412-2-222-1-2212-21-1-22-2-11-112-1-2102-2-1103−3-11003−333−3−3002i−2i00−i3i32i−2i00−i3i300-1103−3000000−ii−i3i300−ii0000000
χ422-2-222-1-2212-21-1-22-2-11-112-1-2102-2-1103−3-11003−333−3−300−2i2i00i3−i3−2i2i00i3−i300-1103−3000000i−ii3−i300i−i0000000
χ432-2-222-1-2212-21-1-22-2-11-112-1-2102-2-110−33-1100−33−3−333002i−2i00i3−i32i−2i00i3−i300-110−33000000−iii3−i300−ii0000000
χ442-2-222-1-2212-21-1-22-2-11-112-1-2102-2-110−33-1100−33−3−33300−2i2i00−i3i3−2i2i00−i3i300-110−33000000i−i−i3i300i−i0000000
χ452-2-222-1-2212-21-1-2-22-11-112-1-210-221-103−3-1100−33−3−333002i−2i00−i3i3−2i2i00−i3i3001-103−3000000−iii3−i300i−i0000000
χ462-2-222-1-2212-21-1-2-22-11-112-1-210-221-103−3-1100−33−3−33300−2i2i00i3−i32i−2i00i3−i3001-103−3000000i−i−i3i300−ii0000000
χ472-2-222-1-2212-21-1-2-22-11-112-1-210-221-10−33-11003−333−3−3002i−2i00i3−i3−2i2i00i3−i3001-10−33000000−ii−i3i300i−i0000000
χ482-2-222-1-2212-21-1-2-22-11-112-1-210-221-10−33-11003−333−3−300−2i2i00−i3i32i−2i00−i3i3001-10−33000000i−ii3−i300−ii0000000
χ4944444-2-4-4-244-2-2400-2-2-2-2-42-4200000000220000000040000-4-2-20000220000000000000000000000000000
χ5044444-2-4-4-244-2-2400-2-2-2-2-42-42000000002200000000-400004220000-2-20000000000000000000000000000
χ514444-24-4-44-2-244-200-2-2-2-22-42-40000000022000000000400-4000000000220000000000-2000000000000000
χ524444-24-4-44-2-244-200-2-2-2-22-42-40000000022000000000-4004000000000-2-200000000002000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-24-2-211-2-2-2-21111000000000000000011-211000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-422112222-1-1-1-10000000000000000112-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4-2-2112222-1-1-1-10000000000000000-1-1-211000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-4222242211-2-2-2-211110000000000000000-1-12-1-1000000000000000000000
χ5744-4-444004-44-4-4-40044-4-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-444004-44-4-4-40044-4-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-44400-4-4-44-44004-4-440000000000000000000000000000000022−220000000000000000000000022−2200000
χ604-44-44400-4-4-44-44004-4-4400000000000000000000000000000000−222200000000000000000000000−222200000
χ614-44-4-2400-4224-4-200-222-200000000000000i6−i600i6−i6i6−i6000000000022−2200−2i32i30000000000000000000−2200000
χ624-44-4-2400-4224-4-200-222-200000000000000i6−i600i6−i6i6−i60000000000−2222002i3−2i300000000000000000002−200000
χ634-44-4-2400-4224-4-200-222-200000000000000−i6i600−i6i6−i6i6000000000022−22002i3−2i30000000000000000000−2200000
χ644-44-4-2400-4224-4-200-222-200000000000000−i6i600−i6i6−i6i60000000000−222200−2i32i300000000000000000002−200000
χ654-4-44444-4-44-4-44-4004-44-4-4-44400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-424-42-2-400-22-22-424-2000000002-200000000000000−2i32i300002i3−2i30000000000000000000000000000
χ674-4-444-24-424-42-2-400-22-22-424-2000000002-2000000000000002i3−2i30000−2i32i30000000000000000000000000000
χ684-4-44-244-4-4-22-44200-22-222-4-24000000002-200000000000000000000000000000000000000023−23000000000
χ694-4-44-244-4-4-22-44200-22-222-4-24000000002-2000000000000000000000000000000000000000−2323000000000
χ704-4-44-24-44-4-22-4424-4-22-22-242-40-224-4000-22000000000000000000000000-22000000000000000000000000
χ714-4-44-24-44-4-22-442-44-22-22-242-402-2-44000-220000000000000000000000002-2000000000000000000000000
χ724-4-44-2-2-442-222-224-41-11-1-2-2220-22-22023−231-10023−23−3−33300000000000000001-10−33000000000000000000000
χ734-4-44-2-2-442-222-224-41-11-1-2-2220-22-220−23231-100−232333−3−300000000000000001-103−3000000000000000000000
χ744-4-44-2-2-442-222-22-441-11-1-2-22202-22-2023−231-100−232333−3−30000000000000000-110−33000000000000000000000
χ754-4-44-2-2-442-222-22-441-11-1-2-22202-22-20−23231-10023−23−3−3330000000000000000-1103−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-8844-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-480084-4-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440022-2-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ818-88-88-4004-8-8-44800-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-44-4002-2-22000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-4002-2-2200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-84-444-44002-22-244-4-400000000-2200000000000000000000000000000000000000000000000000

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