Finite Group Databasebeta

← Group #11884621

Character table — Group #11884621

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422244444121212121212121212124424666881212122424242428861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11111-11111111111-1-1-1-111-11-111-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1111111-1-111-1-11-11-1-11-1-111-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111-1-1111111-111-1-111-11111-1-1-1-11-1-1-1-11-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-111-1-1-111111-111-1-1-1-11-111-1-11-1-1-1-1-111-1111-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11-111-1-1-1-1-11-1-111-111111-1-1-111-11-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-1111-1-1-1-11111-111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-11-1-111-1-11-11111-1-1-1111-1-1-1111-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1111-111-1-1-111111-1-1-11-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111111-1-1-11-1-1111-1-1-1-11-1-11-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11111-11-1-111-1-1-11-1-1-1-1111-1-1-111-111-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-200-222-2-200000022000020000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2200-2-2-222000000-2-2000020000-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-200222-2-2000000-2-20000-20000200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22002-2-222000000220000-2000020000-2000000
χ2122222-122-12-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1002000020000-1-1-1-1-1-1002200-10200-100-1-1000-1-100
χ2222222-122-12-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-100-20000-20000-1-1-1-1-1-100-2-20010-200100110001100
χ2322222-122-12-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100200002000011111100-2-200-10200-100-1-10001100
χ2422222-122-12-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100-20000-2000011111100220010-20010011000-1-100
χ2522222-122-12-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-2111111002000020000-11-1-11100-2200-10-200-100110001-100
χ2622222-122-12-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-211111100-20000-20000-11-1-111002-20010200100-1-1000-1100
χ2722222-122-12-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-21111110020000200001-111-1-1002-200-10-200-10011000-1100
χ2822222-122-12-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-211111100-20000-200001-111-1-100-220010200100-1-10001-100
χ292222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-122022220-1-1-1-122-1-1-1-10000-1-1020-1-10-1-1000000000
χ302222-12222-12-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-2-20-2-2-2-20111122-1-1-1-10000110-2011011000000000
χ312222-12222-12-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1220-2-22201111-2-211110000-1-10-20-1-1011000000000
χ322222-12222-12-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1-2-2022-2-20-1-1-1-1-2-21111000011020110-1-1000000000
χ332222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-2111122022-2-20-1-1-1-12-2-1-1110000-1-10-2011011000000000
χ342222-12222-12-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-21111-2-20-2-222011112-2-1-111000011020-1-10-1-1000000000
χ352222-12222-12-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-21111220-2-2-2-201111-2211-1-10000-1-1020110-1-1000000000
χ362222-12222-12-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-21111-2-2022220-1-1-1-1-2211-1-10000110-20-1-1011000000000
χ372-2-2222-22-2-2-22-222-22-22-2-22-22000000-222-22-222-2-22-20002-20000000000000002-20002-2000000000000
χ382-2-2222-22-2-2-22-222-22-22-2-22-22000000-222-22-222-2-2-22000-22000000000000000-22000-22000000000000
χ392-2-2222-22-2-2-22-222-22-2-22-22-22000000-22-22-22-2-2222-2000-220000000000000002-2000-22000000000000
χ402-2-2222-22-2-2-22-222-22-2-22-22-22000000-22-22-22-2-222-220002-2000000000000000-220002-2000000000000
χ412-2-22-12-22-21-2-112-11-112-2-2-112003−33−31-1-112-2-1-1112-20002-203−33−3003−33−30000-11000-1103−3000000000
χ422-2-22-12-22-21-2-112-11-112-2-2-112003−33−31-1-112-2-1-111-22000-220−33−33003−33−300001-10001-10−33000000000
χ432-2-22-12-22-21-2-112-11-112-2-2-11200−33−331-1-112-2-1-1112-20002-20−33−3300−33−330000-11000-110−33000000000
χ442-2-22-12-22-21-2-112-11-112-2-2-11200−33−331-1-112-2-1-111-22000-2203−33−300−33−3300001-10001-103−3000000000
χ452-2-22-12-22-21-2-112-11-11-22-2-112003−3−331-11-1-2211-1-12-2000-2203−33−3003−3−330000-110001-10−33000000000
χ462-2-22-12-22-21-2-112-11-11-22-2-112003−3−331-11-1-2211-1-1-220002-20−33−33003−3−3300001-1000-1103−3000000000
χ472-2-22-12-22-21-2-112-11-11-22-2-11200−333−31-11-1-2211-1-12-2000-220−33−3300−333−30000-110001-103−3000000000
χ482-2-22-12-22-21-2-112-11-11-22-2-11200−333−31-11-1-2211-1-1-220002-203−33−300−333−300001-1000-110−33000000000
χ4944444-2-4-4-24-244-2-2-2-2-2002-4-4200000022000000000040000-40000000000000000-20000200000000000
χ5044444-2-4-4-24-244-2-2-2-2-2002-4-42000000220000000000-400004000000000000000020000-200000000000
χ514444-24-4-44-24-2-24-2-2-2-200-422-400000022000000000004-4000-2-22200000000000000000000000000000
χ524444-24-4-44-24-2-24-2-2-2-200-422-40000002200000000000-4400022-2-200000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000000022−220000
χ5844-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000000000000−22220000
χ594-44-44400-4-44-44-44-4-4400000000000000000000000000000000000000004i−4i000000000000000000000
χ604-44-44400-4-44-44-44-4-440000000000000000000000000000000000000000−4i4i000000000000000000000
χ614-4-44444-4-4-4-44-444-44-4004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-42-424-4-2-22-2200-2-442000000-22000000000000000000000000000000000000000023−230000000
χ634-4-444-24-42-424-4-2-22-2200-2-442000000-220000000000000000000000000000000000000000−23230000000
χ644-4-444-2-442-424-4-2-22-224-424-4-20000002-24-4-22-2-22200000000000000000000000000000000000000000
χ654-4-444-2-442-424-4-2-22-22-4424-4-20000002-2-442-222-2-200000000000000000000000000000000000000000
χ664-4-44-244-4-42-4-224-22-220042-2-4000000-22000000000000000023−23−232300000000000000000000000000000
χ674-4-44-244-4-42-4-224-22-220042-2-4000000-220000000000000000−232323−2300000000000000000000000000000
χ684-4-44-2-2-44222-22-21-11-14-42-22-20023−2323−23-11-22-2211-1-100000000000000−33−3300000000000000000000000
χ694-4-44-2-2-44222-22-21-11-14-42-22-200−2323−2323-11-22-2211-1-1000000000000003−33−300000000000000000000000
χ704-4-44-2-2-44222-22-21-11-1-442-22-20023−23−2323-112-22-2-1-11100000000000000−333−300000000000000000000000
χ714-4-44-2-2-44222-22-21-11-1-442-22-200−232323−23-112-22-2-1-111000000000000003−3−3300000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400-484-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-48008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4-4444422-2-200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-2000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-88-4004-8-4-884-444-4000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-8484-4-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-442-2-2200000000000000000032−32−323200000000000000000000000000000000000000000
χ808-88-8-4-40044-44-442-2-22000000000000000000−323232−3200000000000000000000000000000000000000000
χ818-8-88-4-48-8444-44-42-22-200-44-440000002-20000000000000000000000000000000000000000000000000

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