Finite Group Databasebeta

← Group #11889734

Character table — Group #11889734

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212124812121212121212122424242424242424222444668888121212121212121212222446612121212122424242446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-11111-1-1-1-11111111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11-11-1-1-1-11111-1-111111-1-111-1-1-11-1-111-1-111-11-1-1-1
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
χ5111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-1-111-1-1-1-1-11-1111-1-11111-1-1-1-11-11
χ6111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-111-111-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-111-1-1-1-11-11-1-1-111-1-1-1-111-111-11
χ9111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1111-1-1-1-1-1-1-1-1111-1-1
χ10111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-111-1-111-1-1111-1-111-1-1-11-111-1-1-111-1-111-1-1-111
χ11111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11-1-111-1-11-11-1-1111-1-111-1-1-11-111
χ12111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-111-1-1-1111111111-11-1-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-11-11-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-222000022-2-2000002200000-200000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-22220000-2-2-2-200000-2-20000020000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-2-2-20000222200000-2-200000-20000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-222000002200000200000000-20000
χ2122222-122-122-1-12-122-1-1-1-12-122222-1-1-1-1-1-122-1-1-1-1-1-1222020-1-1220000-1-12-1-1-1-100002-1-10-1-100-1-10000000
χ2222222-122-122-1-12-122-1-1-1-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-20-2011-2-20000112-1-1-1-10000-21101100110000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-22211-1-1-1-1-2-211111122-20-201122000011-2-1-1110000-2-1-101100-1-10000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-22211-1-1-1-1-2-2111111-2-22020-1-1-2-20000-1-1-2-1-11100002110-1-100110000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-122-2-2-2-1-111-1-1-2-2111111222020-1-1-2-20000-1-1211-1-10000-2-1-101100110000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122-2-2-2-1-111-1-1-2-2111111-2-2-20-201122000011211-1-100002110-1-100-1-10000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-22-2-21111-1-122-1-1-1-1-1-122-20-2011-2-2000011-2111100002-1-10-1-100110000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-22-2-21111-1-122-1-1-1-1-1-1-2-22020-1-1220000-1-1-211110000-21101100-1-10000000
χ292222-12222-1-122-1-122-1-1-12-12-122-1-12222-1-1-1-122-1-1-1-1000202000022-1-100-1-1-1-1-10022000-100-1-100-1-10-1000
χ302222-12222-1-122-1-122-1-1-12-12-122-1-12222-1-1-1-122-1-1-1-1000-20-20000-2-21100-1-1-1-1-100-2-200010011001101000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-1-1-2-222-1-111-2-211110002020000-2-2-1-1001-1-11100-22000-100-1-1001101000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-1-1-2-222-1-111-2-21111000-20-200002211001-1-111002-20001001100-1-10-1000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12-21122-2-2-1-111-2-211110002020000-2-2-1-100-111-1-1002-2000-1001100110-1000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12-21122-2-2-1-111-2-21111000-20-20000221100-111-1-100-22000100-1-100-1-101000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2211-2-2-2-2-1-1-1-122-1-1-1-1000202000022-1-1001111100-2-2000-1001100-1-101000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2211-2-2-2-2-1-1-1-122-1-1-1-1000-20-20000-2-21100111110022000100-1-100110-1000
χ372-22-222-22-2-2-22-2222i−2i-2-2222-2-2002i−2i002i−2i2-2000000002-20000002i−2i00000002i−2i00000002-2000002i−2i0000000
χ382-22-222-22-2-2-22-2222i−2i-2-2222-2-2002i−2i002i−2i2-200000000-22000000−2i2i00000002i−2i0000000-2200000−2i2i0000000
χ392-22-222-22-2-2-22-222−2i2i-2-2222-2-200−2i2i00−2i2i2-2000000002-2000000−2i2i0000000−2i2i00000002-200000−2i2i0000000
χ402-22-222-22-2-2-22-222−2i2i-2-2222-2-200−2i2i00−2i2i2-200000000-220000002i−2i0000000−2i2i0000000-22000002i−2i0000000
χ412-22-22-1-221-2-2-112-12i−2i11-1-121-2002i−2i−i3i3−ii-11003−333−3−32-20000−i3i32i−2i0000−i3i30−ii−i3i300000-1103−300−ii0000000
χ422-22-22-1-221-2-2-112-12i−2i11-1-121-2002i−2i−i3i3−ii-11003−333−3−3-220000i3−i3−2i2i0000i3−i30−ii−i3i3000001-10−3300i−i0000000
χ432-22-22-1-221-2-2-112-12i−2i11-1-121-2002i−2ii3−i3−ii-1100−33−3−3332-20000i3−i32i−2i0000i3−i30−iii3−i300000-110−3300−ii0000000
χ442-22-22-1-221-2-2-112-12i−2i11-1-121-2002i−2ii3−i3−ii-1100−33−3−333-220000−i3i3−2i2i0000−i3i30−iii3−i3000001-103−300i−i0000000
χ452-22-22-1-221-2-2-112-1−2i2i11-1-121-200−2i2i−i3i3i−i-1100−33−3−3332-20000−i3i3−2i2i0000−i3i30i−i−i3i300000-110−3300i−i0000000
χ462-22-22-1-221-2-2-112-1−2i2i11-1-121-200−2i2i−i3i3i−i-1100−33−3−333-220000i3−i32i−2i0000i3−i30i−i−i3i3000001-103−300−ii0000000
χ472-22-22-1-221-2-2-112-1−2i2i11-1-121-200−2i2ii3−i3i−i-11003−333−3−32-20000i3−i3−2i2i0000i3−i30i−ii3−i300000-1103−300i−i0000000
χ482-22-22-1-221-2-2-112-1−2i2i11-1-121-200−2i2ii3−i3i−i-11003−333−3−3-220000−i3i32i−2i0000−i3i30i−ii3−i3000001-10−3300−ii0000000
χ4944444-2-4-4-244-2-24-200-2-2-22-42-40000000022000000000040-40-2-20000002200000000000000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-42-400000000220000000000-404022000000-2-200000000000000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-42-4200000000220000000000040-4000000-2-20000000000000020000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-42-42000000002200000000000-4040000002200000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-222-2-2112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-422-2-222112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-4440044-4-4-4-44004-4-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-4444-4-4-4-44-44400-4-44-4-44400000000-4400000000000000000000000000000000000000000000000000
χ604-44-44-24-42-4-4-224-20022-22-4-24000000002-200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ614-44-44-24-42-4-4-224-20022-22-4-24000000002-2000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ624-44-4-244-4-4224-4-2-20022-2-424-2000000002-2000000000000000000000000000000000000000−2i32i3000000000
χ634-44-4-244-4-4224-4-2-20022-2-424-2000000002-20000000000000000000000000000000000000002i3−2i3000000000
χ644-44-4-24-44-4224-4-2-24i−4i22-24-2-4200−2i2i004i−4i-220000000000000000000000000−2i2i00000000000000000000000
χ654-44-4-24-44-4224-4-2-2−4i4i22-24-2-42002i−2i00−4i4i-2200000000000000000000000002i−2i00000000000000000000000
χ664-44-4-2-2-44222-22-214i−4i-1-11-2-22200−2i2i−2i32i3−2i2i1-10023−23−3−33300000000000000000i−ii3−i3000000000000000000000
χ674-44-4-2-2-44222-22-214i−4i-1-11-2-22200−2i2i2i3−2i3−2i2i1-100−232333−3−300000000000000000i−i−i3i3000000000000000000000
χ684-44-4-2-2-44222-22-21−4i4i-1-11-2-222002i−2i−2i32i32i−2i1-100−232333−3−300000000000000000−iii3−i3000000000000000000000
χ694-44-4-2-2-44222-22-21−4i4i-1-11-2-222002i−2i2i3−2i32i−2i1-10023−23−3−33300000000000000000−ii−i3i3000000000000000000000
χ704-4-444400-4-44-44-4400-44-40000000000000000000000000000000022−220000000000000000000000022−2200000
χ714-4-444400-4-44-44-4400-44-400000000000000000000000000000000−222200000000000000000000000−222200000
χ724-4-44-2400-42-2-442-2002-22000000000000006−6006−66−6000000000022−2223−23000000000000000000000−2200000
χ734-4-44-2400-42-2-442-2002-22000000000000006−6006−66−60000000000−2222−23230000000000000000000002−200000
χ744-4-44-2400-42-2-442-2002-2200000000000000−6600−66−66000000000022−22−2323000000000000000000000−2200000
χ754-4-44-2400-42-2-442-2002-2200000000000000−6600−66−660000000000−222223−230000000000000000000002−200000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-48-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000
χ818-88-8-4-48-8444-44-4200-2-2244-4-400000000-2200000000000000000000000000000000000000000000000000
χ828-8-888-4004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-22-20000000000000026−2600−66−66000000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-22-200000000000000−2626006−66−6000000000000000000000000000000000000000000

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