Finite Group Databasebeta

← Group #11897586

Character table — Group #11897586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666223666121212124446666812121212242424242424242422444881212121212126612121244466812121212122424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-11111111-1-1-1111-1-11-1-111-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1-1-11-111-111-1-1111-1-1-1-111-11-1
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-111111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-111111111111111111111-1111111-1-11111111-1-1111-1-1-111-111-1-1-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1-11-1-1111-1-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-11-1-11-1-111-1-1-111-1-11111-1
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-11111-1-111-1-1-1-1-11-1-1-1-111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-11-1-1-1-1-111111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1111-11-111111-1-1-1-1-111-1-111-1-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-111111-1111111-1-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-111111-1-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1111111-1-111-1-1-1-1-111-1-1-1-111-1-1-111-1-1-1-1-1-1111
χ17222222-2-2222222002222-2-2-2-22200000000-2-20000000000-22-2002222-2-2000000000000000-200002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-20000000000-2-2200-2-22222000000000000000-20000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000000022-20022-2-2-2-200000000000000020000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000002-2200-2-2-2-222000000000000000200002-200000
χ2122222-1222-1-12-1222-1-1-1-12-1-1200222-1-12-1-1-1-1-1-122-1-1-1-12202222-1-100-1-1-1-12-1-1002-1-1000-1-10-1-1000000000
χ2222222-1222-1-12-1222-1-1-1-12-1-1200222-1-12-1-1-1-1-1-122-1-1-1-1-2-20-2-2-2-2110011-1-12-1-100-21100011011000000000
χ2322222-1222-1-12-1222-1-1-1-12-1-1200-222-1-1-211-1-111-2-21111220-2-222110011-1-1-21100-2-1-1000110-1-1000000000
χ2422222-1222-1-12-1222-1-1-1-12-1-1200-222-1-1-211-1-111-2-21111-2-2022-2-2-1-100-1-1-1-1-21100211000-1-1011000000000
χ2522222-1222-1-12-12-2-2-1-1-1-12-1-12002-2-211-2-1-1-1-111-2-2111122022-2-2-1-100-1-1112-1-100-2-1-100011011000000000
χ2622222-1222-1-12-12-2-2-1-1-1-12-1-12002-2-211-2-1-1-1-111-2-21111-2-20-2-222110011112-1-100211000-1-10-1-1000000000
χ2722222-1222-1-12-12-2-2-1-1-1-12-1-1200-2-2-211211-1-1-1-122-1-1-1-1220-2-2-2-211001111-211002-1-1000-1-1011000000000
χ2822222-1222-1-12-12-2-2-1-1-1-12-1-1200-2-2-211211-1-1-1-122-1-1-1-1-2-202222-1-100-1-111-21100-211000110-1-1000000000
χ292222-1222-122-12-122-1-1-1-1-122-1222-1-122222-1-122-1-1-1-1-1-1002000000-1-100-1-1-1-1-1220002-1-100-100-1-10000-100
χ302222-1222-122-12-122-1-1-1-1-122-122-2-1-122-2-2-2-1-1-2-2111111002000000-1-100-1-1111-22000-2-1-100-100110000100
χ312222-1222-122-12-122-1-1-1-1-122-1-2-22-1-122222-1-122-1-1-1-1-1-100-20000001100-1-1-1-1-1-2-2000-21100100110000100
χ322222-1222-122-12-122-1-1-1-1-122-1-2-2-2-1-122-2-2-2-1-1-2-211111100-20000001100-1-11112-200021100100-1-10000-100
χ332222-1222-122-12-1-2-2-1-1-1-1-122-122211-2-2-222-1-1-2-2111111002000000-1-10011-1-1-12-2000-21100-100110000-100
χ342222-1222-122-12-1-2-2-1-1-1-1-122-122-211-2-22-2-2-1-122-1-1-1-1-1-1002000000-1-10011111-2-200021100-100-1-10000100
χ352222-1222-122-12-1-2-2-1-1-1-1-122-1-2-2211-2-2-222-1-1-2-211111100-2000000110011-1-1-1-220002-1-100100-1-10000100
χ362222-1222-122-12-1-2-2-1-1-1-1-122-1-2-2-211-2-22-2-2-1-122-1-1-1-1-1-100-200000011001111122000-2-1-100100110000-100
χ3722-2-2222-222-2-2-2-22-22-22-22-22-20002-22-20002-2000000002-20002-20000002-20000002-20000002-2000000000
χ3822-2-2222-222-2-2-2-22-22-22-22-22-20002-22-20002-200000000-22000-220000002-2000000-22000000-22000000000
χ3922-2-2222-222-2-2-2-2-222-22-22-22-2000-22-220002-2000000002-2000-22000000-220000002-2000000-22000000000
χ4022-2-2222-222-2-2-2-2-222-22-22-22-2000-22-220002-200000000-220002-2000000-22000000-220000002-2000000000
χ4122-2-22-12-22-11-21-22-2-11-1121-1-20002-2-1103−3-113−30033−3−32-20002-23−3003−3-1103−3000-110003−30-11000000000
χ4222-2-22-12-22-11-21-22-2-11-1121-1-20002-2-1103−3-113−30033−3−3-22000-22−3300−33-1103−30001-1000−3301-1000000000
χ4322-2-22-12-22-11-21-22-2-11-1121-1-20002-2-110−33-11−3300−3−3332-20002-2−3300−33-110−33000-11000−330-11000000000
χ4422-2-22-12-22-11-21-22-2-11-1121-1-20002-2-110−33-11−3300−3−333-22000-223−3003−3-110−330001-10003−301-1000000000
χ4522-2-22-12-22-11-21-2-22-11-1121-1-2000-221-103−3-11−3300−3−3332-2000-223−3003−31-103−3000-11000−3301-1000000000
χ4622-2-22-12-22-11-21-2-22-11-1121-1-2000-221-103−3-11−3300−3−333-220002-2−3300−331-103−30001-10003−30-11000000000
χ4722-2-22-12-22-11-21-2-22-11-1121-1-2000-221-10−33-113−30033−3−32-2000-22−3300−331-10−33000-110003−301-1000000000
χ4822-2-22-12-22-11-21-2-22-11-1121-1-2000-221-10−33-113−30033−3−3-220002-23−3003−31-10−330001-1000−330-11000000000
χ4944444-2-4-44-2-24-2400-2-2-2-2-422-4000000000022000000000004-400-2-20022000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-2-2-2-422-400000000002200000000000-44002200-2-2000000000000000000000000000
χ514444-24-4-4-244-24-200-2-2-2-22-4-424400000000220000000000-4000000-2-200000000000000000200000000000
χ524444-24-4-4-244-24-200-2-2-2-22-4-42-4-40000000022000000000040000002200000000000000000-200000000000
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
χ5744-4-444-4444-4-4-4-4004-44-4-44-440000000000-44000000000000000000000000000000000000000000000000
χ5844-4-44-2-444-22-42-400-22-22-4-22400000000002-200000000000000023−2300−2323000000000000000000000000000
χ5944-4-44-2-444-22-42-400-22-22-4-22400000000002-2000000000000000−23230023−23000000000000000000000000000
χ6044-4-4-244-4-24-42-424-4-22-22-2-442000-224-4000-22000000000000000000000-220000000000000000000000000
χ6144-4-4-244-4-24-42-42-44-22-22-2-4420002-2-44000-220000000000000000000002-20000000000000000000000000
χ6244-4-4-24-44-24-42-4200-22-2224-4-200000000002-20000000000000000000000000000000023−2300000000000000
χ6344-4-4-24-44-24-42-4200-22-2224-4-200000000002-200000000000000000000000000000000−232300000000000000
χ6444-4-4-2-24-4-2-222224-41-11-1-22-22000-22-22023−231-123−2300−3−33300000000000001-10−330000000000000000000000
χ6544-4-4-2-24-4-2-222224-41-11-1-22-22000-22-220−23231-1−23230033−3−300000000000001-103−30000000000000000000000
χ6644-4-4-2-24-4-2-22222-441-11-1-22-220002-22-2023−231-1−23230033−3−30000000000000-110−330000000000000000000000
χ6744-4-4-2-24-4-2-22222-441-11-1-22-220002-22-20−23231-123−2300−3−3330000000000000-1103−30000000000000000000000
χ684-44-44400-4-44-4-44004-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ694-44-44400-4-44-4-44004-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ704-4-444400-4-4-444-40044-4-400004-40000000000000000000000000004-400000000000000000000000000000
χ714-4-444400-4-4-444-40044-4-40000-44000000000000000000000000000-4400000000000000000000000000000
χ724-4-44-24002-4-4-24200-2-22200004-40000000000006−66−66−6000000000-22000000000000000000006−60000000
χ734-4-44-24002-4-4-24200-2-22200004-4000000000000−66−66−66000000000-2200000000000000000000−660000000
χ744-4-44-24002-4-4-24200-2-2220000-440000000000006−66−66−60000000002-200000000000000000000−660000000
χ754-4-44-24002-4-4-24200-2-2220000-44000000000000−66−66−660000000002-2000000000000000000006−60000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88-4-44444002-22-24-44-40000000000-22000000000000000000000000000000000000000000000000
χ788-88-88-400-84-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-884-8-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4002-2-220000000000000000000032−32−32320000000000000000000000000000000000000000
χ818-88-8-4-40044-444-4002-2-2200000000000000000000−323232−320000000000000000000000000000000000000000
χ828-8-888-400-8448-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-440022-2-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ848-8-88-4-400444-4-440022-2-2000000000000000000−26266−66−60000000000000000000000000000000000000000

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