Finite Group Databasebeta

← Group #11897553

Character table — Group #11897553

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666223666121212124666681212121224242424242424242244448888121212121212661212124444466121212121224242424412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-111-1-11111-1-111111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-11111111-1-1-111-1-1-1-1111-1-111-11-1-1-1
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
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-111111-1-1-1-11-11
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11111-1-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-11-11-1-111-1-1-1-1-111-111-11
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111111-1-1111-1-1-1-11-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-1-1-1111-1-1-11-111-1-111-1-1-111-1-1-111
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1111-1-11-11-1-111-1-1111-1-1-11-111
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-11111-111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-111-1
χ1411111111111111-1-111111111-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-1111-1
χ17222222-2-2222222002222-2-2-2-200000000-2-2000000000022-2-20000-2-222220000022000000000-20000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-200000000002-2-220000-2-222-2-200000-2-20000000002000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-20000000000-222-2000022-2-22200000-2-2000000000-2000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-20000000000-2-222000022-2-2-2-2000002200000000020000-20000
χ2122222-1222-1-12-1222-1-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-12220202200-1-1-1-100-1-12-1-100200-1-1-1-1000-1-10000000
χ2222222-1222-1-12-1222-1-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-20-20-2-200111100-1-12-1-100-2001111000110000000
χ2322222-1222-1-12-1222-1-1-1-12-1-12-222-1-1-211-1-111-2-2111122-20-202200111100-1-1-21100-200-1-111000-1-10000000
χ2422222-1222-1-12-1222-1-1-1-12-1-12-222-1-1-211-1-111-2-21111-2-22020-2-200-1-1-1-100-1-1-2110020011-1-1000110000000
χ2522222-1222-1-12-12-2-2-1-1-1-12-1-122-2-211-2-1-1-1-111-2-21111222020-2-200-1-1-1-100112-1-100-200-1-111000110000000
χ2622222-1222-1-12-12-2-2-1-1-1-12-1-122-2-211-2-1-1-1-111-2-21111-2-2-20-202200111100112-1-10020011-1-1000-1-10000000
χ2722222-1222-1-12-12-2-2-1-1-1-12-1-12-2-2-211211-1-1-1-122-1-1-1-122-20-20-2-20011110011-21100200-1-1-1-1000110000000
χ2822222-1222-1-12-12-2-2-1-1-1-12-1-12-2-2-211211-1-1-1-122-1-1-1-1-2-220202200-1-1-1-10011-21100-2001111000-1-10000000
χ292222-1222-122-12-122-1-1-1-1-122-12-1-122222-1-122-1-1-1-1-1-100020200220000-1-1-1-1-1-1-1000220000-1-1-100-1-10-1000
χ302222-1222-122-12-122-1-1-1-1-122-12-1-122222-1-122-1-1-1-1-1-1000-20-200-2-2000011-1-1-1-1-1000-2-20000111001101000
χ312222-1222-122-12-122-1-1-1-1-122-1-2-1-122-2-2-2-1-1-2-211111100020200-2-20000-1-1-1-11110002-20000-1-1-1001101000
χ322222-1222-122-12-122-1-1-1-1-122-1-2-1-122-2-2-2-1-1-2-2111111000-20-20022000011-1-1111000-22000011100-1-10-1000
χ332222-1222-122-12-1-2-2-1-1-1-1-122-1211-2-2-222-1-1-2-211111100020200-2-20000-1-111-1-1-1000-22000011-100110-1000
χ342222-1222-122-12-1-2-2-1-1-1-1-122-1211-2-2-222-1-1-2-2111111000-20-2002200001111-1-1-10002-20000-1-1100-1-101000
χ352222-1222-122-12-1-2-2-1-1-1-1-122-1-211-2-22-2-2-1-122-1-1-1-1-1-100020200220000-1-111111000-2-2000011-100-1-101000
χ362222-1222-122-12-1-2-2-1-1-1-1-122-1-211-2-22-2-2-1-122-1-1-1-1-1-1000-20-200-2-200001111111000220000-1-1100110-1000
χ3722-2-2222-222-2-2-2-22-22-22-22-22-202-22-20002-2000000002-200002-2000000002-2000000002-2000002-20000000
χ3822-2-2222-222-2-2-2-22-22-22-22-22-202-22-20002-200000000-220000-22000000002-200000000-2200000-220000000
χ3922-2-2222-222-2-2-2-2-222-22-22-22-20-22-220002-2000000002-20000-2200000000-22000000002-200000-220000000
χ4022-2-2222-222-2-2-2-2-222-22-22-22-20-22-220002-200000000-2200002-200000000-2200000000-22000002-20000000
χ4122-2-22-12-22-11-21-22-2-11-1121-1-202-2-1103−3-113−30033−3−32-200002-2003−33−300-1103−300000-113−3000-110000000
χ4222-2-22-12-22-11-21-22-2-11-1121-1-202-2-1103−3-113−30033−3−3-220000-2200−33−3300-1103−3000001-1−330001-10000000
χ4322-2-22-12-22-11-21-22-2-11-1121-1-202-2-110−33-11−3300−3−3332-200002-200−33−3300-110−3300000-11−33000-110000000
χ4422-2-22-12-22-11-21-22-2-11-1121-1-202-2-110−33-11−3300−3−333-220000-22003−33−300-110−33000001-13−30001-10000000
χ4522-2-22-12-22-11-21-2-22-11-1121-1-20-221-103−3-11−3300−3−3332-20000-22003−33−3001-103−300000-11−330001-10000000
χ4622-2-22-12-22-11-21-2-22-11-1121-1-20-221-103−3-11−3300−3−333-2200002-200−33−33001-103−3000001-13−3000-110000000
χ4722-2-22-12-22-11-21-2-22-11-1121-1-20-221-10−33-113−30033−3−32-20000-2200−33−33001-10−3300000-113−30001-10000000
χ4822-2-22-12-22-11-21-2-22-11-1121-1-20-221-10−33-113−30033−3−3-2200002-2003−33−3001-10−33000001-1−33000-110000000
χ4944444-2-4-44-2-24-2400-2-2-2-2-422-40000000022000000000040-40000022-2-20000000000000000000000000000
χ5044444-2-4-44-2-24-2400-2-2-2-2-422-400000000220000000000-40400000-2-2220000000000000000000000000000
χ514444-24-4-4-244-24-200-2-2-2-22-4-4200000000220000000000040-400000000-2-200000000000000002000000000
χ524444-24-4-4-244-24-200-2-2-2-22-4-42000000002200000000000-40400000000220000000000000000-2000000000
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
χ5744-4-444-4444-4-4-4-4004-44-4-44-4400000000-4400000000000000000000000000000000000000000000000000
χ5844-4-44-2-444-22-42-400-22-22-4-224000000002-200000000000000000023−23−23230000000000000000000000000000
χ5944-4-44-2-444-22-42-400-22-22-4-224000000002-2000000000000000000−232323−230000000000000000000000000000
χ6044-4-4-244-4-24-42-424-4-22-22-2-4420-224-4000-22000000000000000000000000-22000000000000000000000000
χ6144-4-4-244-4-24-42-42-44-22-22-2-44202-2-44000-220000000000000000000000002-2000000000000000000000000
χ6244-4-4-24-44-24-42-4200-22-2224-4-2000000002-20000000000000000000000000000000000000023−230000000000
χ6344-4-4-24-44-24-42-4200-22-2224-4-2000000002-200000000000000000000000000000000000000−23230000000000
χ6444-4-4-2-24-4-2-222224-41-11-1-22-220-22-22023−231-123−2300−3−33300000000000000001-10−33000000000000000000000
χ6544-4-4-2-24-4-2-222224-41-11-1-22-220-22-220−23231-1−23230033−3−300000000000000001-103−3000000000000000000000
χ6644-4-4-2-24-4-2-22222-441-11-1-22-2202-22-2023−231-1−23230033−3−30000000000000000-110−33000000000000000000000
χ6744-4-4-2-24-4-2-22222-441-11-1-22-2202-22-20−23231-123−2300−3−3330000000000000000-1103−3000000000000000000000
χ684-44-44400-4-4-444-40044-4-4000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ694-44-44400-4-4-444-40044-4-40000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ704-44-4-24002-4-4-24200-2-22200000000000000006−66−66−600000000−2i22i20000−2i32i30000000000000000000i2−i200000
χ714-44-4-24002-4-4-24200-2-22200000000000000006−66−66−6000000002i2−2i200002i3−2i30000000000000000000−i2i200000
χ724-44-4-24002-4-4-24200-2-2220000000000000000−66−66−6600000000−2i22i200002i3−2i30000000000000000000i2−i200000
χ734-44-4-24002-4-4-24200-2-2220000000000000000−66−66−66000000002i2−2i20000−2i32i30000000000000000000−i2i200000
χ744-4-444400-4-44-4-44004-4-4400000000000000000000000000000000000000000004-40000000000000000000
χ754-4-444400-4-44-4-44004-4-440000000000000000000000000000000000000000000-440000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-4-88-4-44444002-22-24-44-400000000-2200000000000000000000000000000000000000000000000000
χ788-88-88-400-8448-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-4-440022-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ808-88-8-4-400444-4-440022-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ818-8-888-400-84-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-8-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-4002-2-2200000000000000000032−32−3232000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-4002-2-22000000000000000000−323232−32000000000000000000000000000000000000000000

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