Finite Group Databasebeta

← Group #11889396

Character table — Group #11889396

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212124812121212121212122424242424242424244444668888121212121212121212224441212121212121224242424412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-111-111111-1-1-1-11111111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-11-1-1-1-1-11111-1-111111-1-111-1-1-1111-1-1-1-111-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111111-11-1-111111-1-1-1-11-11-1-1
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-111-1-1-111-1-1-1-1-111-1-111-11-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-111-1-11-1-111111-1-111-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-11-111-1-1-1-1-11111111-1-1
χ9111111111111111-1-111111111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-111-11-1111-1-1-1-1-1-1-1-111-11-1
χ10111111111111111-1-111111111-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1111-1-111-1-111111-1-1-1-11-1-111-111-1-1-1-111-1-11-11
χ11111111111111111-1-111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-111-1-1111-1-1-1-1-111-1-11-1-11111-1-1-111-11
χ12111111111111111-1-111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-11-1-1-1111111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1111-1
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-11
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000002200-2-2220000-2-2-2-200000-2-20000020000000020000
χ18222222-2-2222222200222-2-2-2-200000000-2-2000000002-2002-222000022-2-2000002200000-200000000-20000
χ19222222-2-2222222200222-2-2-2-200000000-2-200000000-2200-22-2-20000-2-222000002200000200000000-20000
χ20222222-2-2222222200222-2-2-2-200000000-2-200000000-2-20022-2-20000222200000-2-200000-20000000020000
χ2122222-122-12-122-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-1-1-1202202-1-1220000-1-12-1-1-1-100002-1-1000-1-1-1-10000000
χ2222222-122-12-122-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-1-1-1-20-2-20-211-2-20000112-1-1-1-10000-21100011110000000
χ2322222-122-12-122-1-122-1-1-12-12-1-2-21122-1-1-1-1-2-211111120-2-202-1-1-2-20000-1-1-211-1-10000211000-1-1110000000
χ2422222-122-12-122-1-122-1-1-12-12-1-2-21122-1-1-1-1-2-2111111-20220-21122000011-211-1-10000-2-1-100011-1-10000000
χ2522222-122-12-122-1-1-2-2-1-1-12-12-12-2-1-1-2-211-1-1-2-2111111202202-1-1-2-20000-1-12-1-1110000-2-1-100011110000000
χ2622222-122-12-122-1-1-2-2-1-1-12-12-12-2-1-1-2-211-1-1-2-2111111-20-2-20-211220000112-1-1110000211000-1-1-1-10000000
χ2722222-122-12-122-1-1-2-2-1-1-12-12-1-2211-2-211-1-122-1-1-1-1-1-120-2-202-1-1220000-1-1-211110000-21100011-1-10000000
χ2822222-122-12-122-1-1-2-2-1-1-12-12-1-2211-2-211-1-122-1-1-1-1-1-1-20220-211-2-2000011-2111100002-1-1000-1-1110000000
χ292222-12222-12-1-12-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-1020020000022-1-100-1-1-1-1-10022000-1-1-10000-1-10-1000
χ302222-12222-12-1-12-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-10-200-200000-2-21100-1-1-1-1-100-2-200011100001101000
χ312222-12222-12-1-12-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-211110200200000-2-2-1-100111-1-1002-2000-1-1-100001101000
χ322222-12222-12-1-12-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-211110-200-200000221100111-1-100-220001110000-1-10-1000
χ332222-12222-12-1-12-1-2-2-1-1-1-12-122-22211-2-2-1-111-2-211110200200000-2-2-1-100-1-1-11100-22000-1110000110-1000
χ342222-12222-12-1-12-1-2-2-1-1-1-12-122-22211-2-2-1-111-2-211110-200-200000221100-1-1-111002-20001-1-10000-1-101000
χ352222-12222-12-1-12-1-2-2-1-1-1-12-12-22-2-211-2-2-1-1-1-122-1-1-1-1020020000022-1-1001111100-2-2000-1110000-1-101000
χ362222-12222-12-1-12-1-2-2-1-1-1-12-12-22-2-211-2-2-1-1-1-122-1-1-1-10-200-200000-2-211001111100220001-1-10000110-1000
χ372-2-2222-22-22-2-2-2222-2-2-2222-2-200002-22-22-200000000002i−2i00002i−2i0000000002-2000002i−2i000002i−2i0000000
χ382-2-2222-22-22-2-2-2222-2-2-2222-2-200002-22-22-20000000000−2i2i0000−2i2i0000000002-200000−2i2i00000−2i2i0000000
χ392-2-2222-22-22-2-2-222-22-2-2222-2-20000-22-222-200000000002i−2i0000−2i2i000000000-22000002i−2i00000−2i2i0000000
χ402-2-2222-22-22-2-2-222-22-2-2222-2-20000-22-222-20000000000−2i2i00002i−2i000000000-2200000−2i2i000002i−2i0000000
χ412-2-222-1-22121-2-2-1-12-211-12-1-21003−32-2-11-11003−333−3−3002i−2i00−i3i32i−2i0000−i3i303−3-1100000−ii000−i3i3−ii0000000
χ422-2-222-1-22121-2-2-1-12-211-12-1-21003−32-2-11-11003−333−3−300−2i2i00i3−i3−2i2i0000i3−i303−3-1100000i−i000i3−i3i−i0000000
χ432-2-222-1-22121-2-2-1-12-211-12-1-2100−332-2-11-1100−33−3−333002i−2i00i3−i32i−2i0000i3−i30−33-1100000−ii000i3−i3−ii0000000
χ442-2-222-1-22121-2-2-1-12-211-12-1-2100−332-2-11-1100−33−3−33300−2i2i00−i3i3−2i2i0000−i3i30−33-1100000i−i000−i3i3i−i0000000
χ452-2-222-1-22121-2-2-1-1-2211-12-1-21003−3-221-1-1100−33−3−333002i−2i00−i3i3−2i2i0000−i3i303−31-100000−ii000i3−i3i−i0000000
χ462-2-222-1-22121-2-2-1-1-2211-12-1-21003−3-221-1-1100−33−3−33300−2i2i00i3−i32i−2i0000i3−i303−31-100000i−i000−i3i3−ii0000000
χ472-2-222-1-22121-2-2-1-1-2211-12-1-2100−33-221-1-11003−333−3−3002i−2i00i3−i3−2i2i0000i3−i30−331-100000−ii000−i3i3i−i0000000
χ482-2-222-1-22121-2-2-1-1-2211-12-1-2100−33-221-1-11003−333−3−300−2i2i00−i3i32i−2i0000−i3i30−331-100000i−i000i3−i3−ii0000000
χ4944444-2-4-4-24-244-2-200-2-2-2-42-4200000000220000000040000-4-2-20000002200000000000000000000000000
χ5044444-2-4-4-24-244-2-200-2-2-2-42-42000000002200000000-40000422000000-2-200000000000000000000000000
χ514444-24-4-44-24-2-24-200-2-2-22-42-40000000022000000000400-400000002200000000000000-20000000000000
χ524444-24-4-44-24-2-24-200-2-2-22-42-40000000022000000000-40040000000-2-20000000000000020000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-422-2-2-2-2112222-1-1-1-100000000000000002-1-111000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-4-2-22222112222-1-1-1-10000000000000000-211-1-1000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-4-4-44-4400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000
χ5844-4-444004-4-4-44-4400-44-400000000000000000000000000000000−222200000000000000000000000−222200000
χ5944-4-4-240042-42-2-4-2002-22000000000000006−6006−66−6000000000022−2223−23000000000000000000000−2200000
χ6044-4-4-240042-42-2-4-2002-22000000000000006−6006−66−60000000000−2222−23230000000000000000000002−200000
χ6144-4-4-240042-42-2-4-2002-2200000000000000−6600−66−66000000000022−22−2323000000000000000000000−2200000
χ6244-4-4-240042-42-2-4-2002-2200000000000000−6600−66−660000000000−222223−230000000000000000000002−200000
χ634-44-44400-4-444-4-44004-4-400000000000000000000000000000000000000000004-40000000000000000000
χ644-44-44400-4-444-4-44004-4-40000000000000000000000000000000000000000000-440000000000000000000
χ654-4-44444-4-44-4-4-44400-4-44-4-44400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-4242-4-4-2-20022-2-424-2000000002-200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ674-4-444-24-4242-4-4-2-20022-2-424-2000000002-2000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ684-4-44-244-4-4-2-4224-20022-22-4-24000000002-2000000000000000000000000000000000000023−2300000000000
χ694-4-44-244-4-4-2-4224-20022-22-4-24000000002-20000000000000000000000000000000000000−232300000000000
χ704-4-44-24-44-4-2-4224-24-422-2-242-40000-224-4-22000000000000000000000000000-22000000000000000000000
χ714-4-44-24-44-4-2-4224-2-4422-2-242-400002-2-44-220000000000000000000000000002-2000000000000000000000
χ724-4-44-2-2-442-2222-214-4-1-11-2-2220023−23-22-221-10023−23−3−33300000000000000000−331-1000000000000000000000
χ734-4-44-2-2-442-2222-214-4-1-11-2-22200−2323-22-221-100−232333−3−3000000000000000003−31-1000000000000000000000
χ744-4-44-2-2-442-2222-21-44-1-11-2-2220023−232-22-21-100−232333−3−300000000000000000−33-11000000000000000000000
χ754-4-44-2-2-442-2222-21-44-1-11-2-22200−23232-22-21-10023−23−3−333000000000000000003−3-11000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-84-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4444-44200-22-20000000000000026−2600−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-400-4444-44200-22-200000000000000−2626006−66−6000000000000000000000000000000000000000000
χ808-88-88-4004-8-48-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-4442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ838-88-8-4-40044-4-4442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000
χ848-8-88-4-48-84-4444-4200-2-2244-4-400000000-2200000000000000000000000000000000000000000000000000

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