Finite Group Databasebeta

← Group #11884403

Character table — Group #11884403

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212124812121212121212122424242424242424222444888812121212121212121212124424466666121224242424212228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111-111-1-11111-1-111111-1-1-11-111-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-11-1-111-1-1-1-11111111-1-11-11-1-1111-1-1-1-111-11-1-1-1
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
χ5111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-111-1-11-1-111111-1-111-1-1-1-11-11
χ6111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111111-1-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-111-1-1-1-1-111-1-111-111-11
χ9111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1
χ10111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1111111-1-1111-1-1-1-11-1-111-111-1-1-1-111-1-1-111
χ11111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111111-1-1-1-1-111-1-11-1-11111-1-1-11-111
χ12111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111111111-11-1-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-111-1
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
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-2000022-2-2-2-200000-2-20000020000000020000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-22-20000-2-222-2-2000002200000200000000-20000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-22-22000022-2-222000002200000-200000000-20000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-2220000-2-2222200000-2-200000-20000000020000
χ2122222-122-1-1222-1-122-1-1-12-12-1222222-1-1-1-122-1-1-1-1-1-100200200220000-1-1-1-1-1-1-10020200-1-1-10000-1-10-1000
χ2222222-122-1-1222-1-122-1-1-12-12-1222222-1-1-1-122-1-1-1-1-1-100-200-200-2-2000011-1-1-1-1-100-20-20011100001101000
χ2322222-122-1-1222-1-122-1-1-12-12-1-2-222-2-2-1-1-1-1-2-211111100200200-2-20000-1-1111-1-10020-200-1-1-100001101000
χ2422222-122-1-1222-1-122-1-1-12-12-1-2-222-2-2-1-1-1-1-2-211111100-200-20022000011111-1-100-202001110000-1-10-1000
χ2522222-122-1-1222-1-1-2-2-1-1-12-12-12-2-2-22211-1-1-2-211111100200200-2-20000-1-1-1-1-11100-20200-1110000110-1000
χ2622222-122-1-1222-1-1-2-2-1-1-12-12-12-2-2-22211-1-1-2-211111100-200-20022000011-1-1-1110020-2001-1-10000-1-101000
χ2722222-122-1-1222-1-1-2-2-1-1-12-12-1-22-2-2-2-211-1-122-1-1-1-1-1-100200200220000-1-11111100-20-200-1110000-1-101000
χ2822222-122-1-1222-1-1-2-2-1-1-12-12-1-22-2-2-2-211-1-122-1-1-1-1-1-100-200-200-2-20000111111100202001-1-10000110-1000
χ292222-122222-1-1-12-122-1-1-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-12202202200-1-1-1-1002-1-1-1-100020-1-1000-1-1-1-10000000
χ302222-122222-1-1-12-122-1-1-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-1-2-20-2-20-2-2001111002-1-1-1-1000-201100011110000000
χ312222-122222-1-1-12-122-1-1-1-12-12-2-2-1-11122-1-111-2-21111220-2-202200111100-211-1-1000-20-1-100011-1-10000000
χ322222-122222-1-1-12-122-1-1-1-12-12-2-2-1-11122-1-111-2-21111-2-20220-2-200-1-1-1-100-211-1-10002011000-1-1110000000
χ332222-122222-1-1-12-1-2-2-1-1-1-12-122-211-1-1-2-2-1-111-2-21111220220-2-200-1-1-1-1002-1-111000-20-1-100011110000000
χ342222-122222-1-1-12-1-2-2-1-1-1-12-122-211-1-1-2-2-1-111-2-21111-2-20-2-2022001111002-1-1110002011000-1-1-1-10000000
χ352222-122222-1-1-12-1-2-2-1-1-1-12-12-221111-2-2-1-1-1-122-1-1-1-1220-2-20-2-200111100-2111100020-1-1000-1-1110000000
χ362222-122222-1-1-12-1-2-2-1-1-1-12-12-221111-2-2-1-1-1-122-1-1-1-1-2-202202200-1-1-1-100-21111000-201100011-1-10000000
χ372-2-2222-22-2-22-2-2222-2-2-22-2-222002-2002-22-2000000002-200002-2000000000002-2000002-2000002-20000000
χ382-2-2222-22-2-22-2-2222-2-2-22-2-222002-2002-22-200000000-220000-22000000000002-200000-2200000-220000000
χ392-2-2222-22-2-22-2-222-22-2-22-2-22200-2200-222-2000000002-20000-2200000000000-22000002-200000-220000000
χ402-2-2222-22-2-22-2-222-22-2-22-2-22200-2200-222-200000000-2200002-200000000000-2200000-22000002-20000000
χ412-2-22-12-22-2-2-1112-12-211-11-2-1200-113−32-2-113−30033−3−32-200002-2003−33−30003−3-1100000-110003−3-110000000
χ422-2-22-12-22-2-2-1112-12-211-11-2-1200-113−32-2-113−30033−3−3-220000-2200−33−330003−3-11000001-1000−331-10000000
χ432-2-22-12-22-2-2-1112-12-211-11-2-1200-11−332-2-11−3300−3−3332-200002-200−33−33000−33-1100000-11000−33-110000000
χ442-2-22-12-22-2-2-1112-12-211-11-2-1200-11−332-2-11−3300−3−333-220000-22003−33−3000−33-11000001-10003−31-10000000
χ452-2-22-12-22-2-2-1112-1-2211-11-2-12001-13−3-22-11−3300−3−3332-20000-22003−33−30003−31-100000-11000−331-10000000
χ462-2-22-12-22-2-2-1112-1-2211-11-2-12001-13−3-22-11−3300−3−333-2200002-200−33−330003−31-1000001-10003−3-110000000
χ472-2-22-12-22-2-2-1112-1-2211-11-2-12001-1−33-22-113−30033−3−32-20000-2200−33−33000−331-100000-110003−31-10000000
χ482-2-22-12-22-2-2-1112-1-2211-11-2-12001-1−33-22-113−30033−3−3-2200002-2003−33−3000−331-1000001-1000−33-110000000
χ4944444-2-4-4-2-2444-2-200-2-2-2-42-4200000000220000000000400-40000000022000000000000-20000000000000
χ5044444-2-4-4-2-2444-2-200-2-2-2-42-4200000000220000000000-400400000000-2-200000000000020000000000000
χ514444-24-4-444-2-2-24-200-2-2-22-42-40000000022000000000004-400000-2-2220000000000000000000000000000
χ524444-24-4-444-2-2-24-200-2-2-22-42-4000000002200000000000-440000022-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-222-2-2112222-1-1-1-100000000000000002-1-111000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-422-2-222112222-1-1-1-10000000000000000-211-1-1000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-4-44-4-44004-4-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ594-44-44400-44-4-44-4400-44-400000000000000000000000000000022−22000000000000000000000000022−2200000
χ604-44-44400-44-4-44-4400-44-4000000000000000000000000000000−22220000000000000000000000000−222200000
χ614-44-44-2002-2-4-442-2002-2200000000000000006−66−66−60000000022−22000023−230000000000000000000−2200000
χ624-44-44-2002-2-4-442-2002-2200000000000000006−66−66−600000000−22220000−232300000000000000000002−200000
χ634-44-44-2002-2-4-442-2002-220000000000000000−66−66−660000000022−220000−23230000000000000000000−2200000
χ644-44-44-2002-2-4-442-2002-220000000000000000−66−66−6600000000−2222000023−2300000000000000000002−200000
χ654-4-44444-4-4-44-4-44400-4-4444-4-400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-4224-4-4-2-20022-24-2-42000000002-20000000000000000000000000000000000000−2i32i300000000000
χ674-4-444-24-4224-4-4-2-20022-24-2-42000000002-200000000000000000000000000000000000002i3−2i300000000000
χ684-4-444-2-44224-4-4-2-24-422-2-424-2004-400-22-22000000000000000000000000000-22000000000000000000000
χ694-4-444-2-44224-4-4-2-2-4422-2-424-200-44002-2-220000000000000000000000000002-2000000000000000000000
χ704-4-44-244-4-4-4-2224-20022-2-242-4000000002-200000000000000000023−23−23230000000000000000000000000000
χ714-4-44-244-4-4-4-2224-20022-2-242-4000000002-2000000000000000000−232323−230000000000000000000000000000
χ724-4-44-2-2-4422-222-214-4-1-1122-2-200-2223−23-221-123−2300−3−33300000000000000000−331-1000000000000000000000
χ734-4-44-2-2-4422-222-214-4-1-1122-2-200-22−2323-221-1−23230033−3−3000000000000000003−31-1000000000000000000000
χ744-4-44-2-2-4422-222-21-44-1-1122-2-2002-223−232-21-1−23230033−3−300000000000000000−33-11000000000000000000000
χ754-4-44-2-2-4422-222-21-44-1-1122-2-2002-2−23232-21-123−2300−3−333000000000000000003−3-11000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-44-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ8088-8-8-4-400-444-4442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000
χ818-88-8-4800-8844-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44200-22-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44200-22-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ848-8-88-4-48-844-444-4200-2-22-4-44400000000-2200000000000000000000000000000000000000000000000000

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