Finite Group Databasebeta

← Group #11773323

Character table — Group #11773323

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order1222222222336666666666666666666666222222224444444444444444121212121212121212121212121212122244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ91111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-111-1-111-1-1
χ101111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii1-1-1-111-1-111
χ111111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i1-1-1-111-1-111
χ121111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-111-1-111-1-1
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii-1111-1-1-1-111
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-11-1-11111-1-1
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-11-1-11111-1-1
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ1822222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-22-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-200000000000000000000000000000000-2200000000
χ202222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000000000002-200000000
χ2122-2-222-2-2002222-2-2-2-2222-22-2-2-2000000002-222-2-22-20000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ2222-2-222-2-2002222-2-2-2-2222-22-2-2-2000000002-222-2-22-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ2322-2-222-2-2002222-2-2-2-2222-22-2-2-200000000-22-2-222-2200002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000
χ2422-2-222-2-2002222-2-2-2-2222-22-2-2-200000000-22-2-222-220000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000
χ2522-2-2-2-222002222-2-2-2-2-2-2-22-2222000000002-2-2-2222-20000000000002-2-220000000000002-2-220000000000
χ2622-2-2-2-222002222-2-2-2-2-2-2-22-2222000000002-2-2-2222-2000000000000-222-2000000000000-222-20000000000
χ2722-2-2-2-222002222-2-2-2-2-2-2-22-222200000000-2222-2-2-2200002-2-2200000000000000002-2-2200000000000000
χ2822-2-2-2-222002222-2-2-2-2-2-2-22-222200000000-2222-2-2-220000-222-20000000000000000-222-200000000000000
χ292-22-22-22-20022-2-222-2-222-22-22-2-2000000002-22-22-2-222i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000
χ302-22-22-22-20022-2-222-2-222-22-22-2-2000000002-22-22-2-22−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000000000
χ312-22-22-22-20022-2-222-2-222-22-22-2-200000000-22-22-222-2000000002i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ322-22-22-22-20022-2-222-2-222-22-22-2-200000000-22-22-222-200000000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ332-22-2-22-220022-2-222-2-2-2-22-22-222000000002-2-22-22-222-2-220000000000002-2-220000000000000000000000
χ342-22-2-22-220022-2-222-2-2-2-22-22-222000000002-2-22-22-22-222-2000000000000-222-20000000000000000000000
χ352-22-2-22-220022-2-222-2-2-2-22-22-22200000000-222-22-22-2000000002-2-22000000002-2-22000000000000000000
χ362-22-2-22-220022-2-222-2-2-2-22-22-22200000000-222-22-22-200000000-222-200000000-222-2000000000000000000
χ372-2-222-2-220022-2-2-2-22222-2-2-2-22200000000222-2-22-2-2000000000000000000000000000000000000002i−2i2i−2i
χ382-2-222-2-220022-2-2-2-22222-2-2-2-22200000000222-2-22-2-200000000000000000000000000000000000000−2i2i−2i2i
χ392-2-222-2-220022-2-2-2-22222-2-2-2-22200000000-2-2-222-22200000000000000000000000000000000002-22-20000
χ402-2-222-2-220022-2-2-2-22222-2-2-2-22200000000-2-2-222-2220000000000000000000000000000000000-22-220000
χ412-2-22-222-20022-2-2-2-222-2-22222-2-20000000022-222-2-2-2000000000000000000000000000000000000002i−2i−2i2i
χ422-2-22-222-20022-2-2-2-222-2-22222-2-20000000022-222-2-2-200000000000000000000000000000000000000−2i2i2i−2i
χ432-2-22-222-20022-2-2-2-222-2-22222-2-200000000-2-22-2-222200000000000000000000000000000000002-2-220000
χ442-2-22-222-20022-2-2-2-222-2-22222-2-200000000-2-22-2-22220000000000000000000000000000000000-222-20000
χ4544444444441-21-21-21-21-21-2-211-211-2-211-2-200000000000022220000222200000000-1-1-1-1-1-1-1-10000000000
χ4644444444441-21-21-21-21-21-2-211-211-2-211-2-2000000000000-2-2-2-20000-2-2-2-200000000111111110000000000
χ474444444444-21-21-21-21-21-211-2-21-2-211-2-211000000002222000022220000-1-1-1-1-1-1-1-1000000000000000000
χ484444444444-21-21-21-21-21-211-2-21-2-211-2-21100000000-2-2-2-20000-2-2-2-2000011111111000000000000000000
χ4944444444-4-41-21-21-21-21-21-2-211-2-1-122-1-12200000000000022220000-2-2-2-200000000-1-1-1-111110000000000
χ5044444444-4-41-21-21-21-21-21-2-211-2-1-122-1-122000000000000-2-2-2-200002222000000001111-1-1-1-10000000000
χ5144444444-4-4-21-21-21-21-21-211-2-2122-1-122-1-10000000022220000-2-2-2-20000-1-1-1-11111000000000000000000
χ5244444444-4-4-21-21-21-21-21-211-2-2122-1-122-1-100000000-2-2-2-20000222200001111-1-1-1-1000000000000000000
χ534444-4-4-4-44-41-21-21-21-2-12-122-1-1211-2-2-1-1220000000000002i2i−2i−2i00002i2i−2i−2i00000000−i−iii−i−iii0000000000
χ544444-4-4-4-44-41-21-21-21-2-12-122-1-1211-2-2-1-122000000000000−2i−2i2i2i0000−2i−2i2i2i00000000ii−i−iii−i−i0000000000
χ554444-4-4-4-44-4-21-21-21-212-12-1-122-1-2-21122-1-1000000002i2i−2i−2i00002i2i−2i−2i0000−i−iii−i−iii000000000000000000
χ564444-4-4-4-44-4-21-21-21-212-12-1-122-1-2-21122-1-100000000−2i−2i2i2i0000−2i−2i2i2i0000ii−i−iii−i−i000000000000000000
χ574444-4-4-4-4-441-21-21-21-2-12-122-1-12-1-12211-2-20000000000002i2i−2i−2i0000−2i−2i2i2i00000000−i−iiiii−i−i0000000000
χ584444-4-4-4-4-441-21-21-21-2-12-122-1-12-1-12211-2-2000000000000−2i−2i2i2i00002i2i−2i−2i00000000ii−i−i−i−iii0000000000
χ594444-4-4-4-4-44-21-21-21-212-12-1-122-122-1-1-2-211000000002i2i−2i−2i0000−2i−2i2i2i0000−i−iiiii−i−i000000000000000000
χ604444-4-4-4-4-44-21-21-21-212-12-1-122-122-1-1-2-21100000000−2i−2i2i2i00002i2i−2i−2i0000ii−i−i−i−iii000000000000000000
χ6144-4-444-4-4001-21-2-12-121-212-2-1-123-3003-3000000000000002i−2i2i−2i00002i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ6244-4-444-4-4001-21-2-12-121-212-2-1-123-3003-300000000000000−2i2i−2i2i0000−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ6344-4-444-4-4001-21-2-12-121-212-2-1-12-3300-33000000000000002i−2i2i−2i0000−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ6444-4-444-4-4001-21-2-12-121-212-2-1-12-3300-3300000000000000−2i2i−2i2i00002i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ6544-4-4-4-444001-21-2-12-12-12-1-2211-23-300-33000000000000002-2-2200002-2-2200000000-111-1-111-10000000000
χ6644-4-4-4-444001-21-2-12-12-12-1-2211-23-300-3300000000000000-222-20000-222-2000000001-1-111-1-110000000000
χ6744-4-4-4-444001-21-2-12-12-12-1-2211-2-33003-3000000000000002-2-220000-222-200000000-111-11-1-110000000000
χ6844-4-4-4-444001-21-2-12-12-12-1-2211-2-33003-300000000000000-222-200002-2-22000000001-1-11-111-10000000000
χ694-44-44-44-400-212-1-212-1-2121-1-22-1003-3003-3000000002i−2i2i−2i00002i−2i2i−2i0000−ii−ii−ii−ii000000000000000000
χ704-44-44-44-400-212-1-212-1-2121-1-22-1003-3003-300000000−2i2i−2i2i0000−2i2i−2i2i0000i−ii−ii−ii−i000000000000000000
χ714-44-44-44-400-212-1-212-1-2121-1-22-100-3300-33000000002i−2i2i−2i0000−2i2i−2i2i0000−ii−iii−ii−i000000000000000000
χ724-44-44-44-400-212-1-212-1-2121-1-22-100-3300-3300000000−2i2i−2i2i00002i−2i2i−2i0000i−ii−i−ii−ii000000000000000000
χ734-44-4-44-4400-212-1-212-12-1-2-112-21003-300-33000000002-2-2200002-2-220000-111-1-111-1000000000000000000
χ744-44-4-44-4400-212-1-212-12-1-2-112-21003-300-3300000000-222-20000-222-200001-1-111-1-11000000000000000000
χ754-44-4-44-4400-212-1-212-12-1-2-112-2100-33003-3000000002-2-220000-222-20000-111-11-1-11000000000000000000
χ764-44-4-44-4400-212-1-212-12-1-2-112-2100-33003-300000000-222-200002-2-2200001-1-11-111-1000000000000000000
χ7788-8-888-8-800-42-424-24-2-42-4-2244-20000000000000000000000000000000000000000000000000000000000
χ7888-8-8-8-88800-42-424-24-24-242-2-4-420000000000000000000000000000000000000000000000000000000000
χ798-88-88-88-8002-4-242-4-242-4-2-442-240000000000000000000000000000000000000000000000000000000000
χ808-88-8-88-88002-4-242-4-24-2424-4-22-40000000000000000000000000000000000000000000000000000000000
χ818-8-888-8-88002-4-24-242-42-4-244-22-40000000000000000000000000000000000000000000000000000000000
χ828-8-888-8-8800-424-24-2-42-424-2-24-420000000000000000000000000000000000000000000000000000000000
χ838-8-88-888-8002-4-24-242-4-242-4-42-240000000000000000000000000000000000000000000000000000000000
χ848-8-88-888-800-424-24-2-424-2-422-44-20000000000000000000000000000000000000000000000000000000000

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