Finite Group Databasebeta

← Group #11884311

Character table — Group #11884311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242222244412121212121212121212444466666881224242424288121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111-11111111111-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-1111111-1-1111-1-1-1-1-111-1-111-1-1-111-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-11-1-1-1-11111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1111111111-111-1-1111-1111-1-1-1-11-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-111-111111-111-1-1-1-1-11-111-1-1-11-1-1-111-111-11-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11-111-1-1-1-11-11-1-1111-1111-1-1-1111-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-111-11-1-1-11111-111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-1-11-1-111-1-1-11111-1-11-1111-1-1-111-111-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-111-111111-1-11-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-11111-111-1-111-1-11-1-1-1-11-1-1-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-11111-11-1-111-1-11-1-1-1-111-11-1-1-111-1111-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000000022-2-222-2-200000022002000000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-20000000000002-22-2-2-222000000-2-2002000000-200002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-2000000000000-22-2222-2-2000000-2-200-2000000200002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-2000000000000-2-222-2-2220000002200-200000020000-2000000
χ2122222-122-122-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-122220220-1-1-1-122-1-1-1-100000-1-1-1-1200-1-1000000000
χ2222222-122-122-1-12-1-1-1-1222-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20-2-20111122-1-1-1-1000001111-20011000000000
χ2322222-122-122-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-122220-2-201111-2-2111100000-1-1-1-1-20011000000000
χ2422222-122-122-1-12-1-1-1-1222-1-12-2-21111-1-1-1-122-1-1-1-1-2-2-2-20220-1-1-1-1-2-21111000001111200-1-1000000000
χ2522222-122-122-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-2111122-2-20220-1-1-1-12-2-1-11100000-1-111-20011000000000
χ2622222-122-122-1-12-1-1-1-1-2-22-1-122-2-1-111-1-111-2-21111-2-2220-2-2011112-2-1-1110000011-1-1200-1-1000000000
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-2111122-2-20-2-201111-2211-1-100000-1-111200-1-1000000000
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-2211-1-1-1-111-2-21111-2-2220220-1-1-1-1-2211-1-10000011-1-1-20011000000000
χ292222-12222-1-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-1000020020000-1-1-1-1-1-10022-1000002-100-1-1000-1-100
χ302222-12222-1-122-1-1-1-1-122-122-1222222-1-122-1-1-1-1-1-10000-200-20000-1-1-1-1-1-100-2-2100000-2100110001100
χ312222-12222-1-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-100002002000011111100-2-2-1000002-100-1-10001100
χ322222-12222-1-122-1-1-1-1-122-122-1-2-2-2-2-2-2-1-122-1-1-1-1-1-10000-200-200001111110022100000-210011000-1-100
χ332222-12222-1-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-2111111000020020000-11-1-111002-2-100000-2-10011000-1100
χ342222-12222-1-122-1-1-1-1-1-2-2-122-12-222-2-2-1-1-2-21111110000-200-20000-11-1-11100-221000002100-1-10001-100
χ352222-12222-1-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-21111110000200200001-111-1-100-22-100000-2-100110001-100
χ362222-12222-1-122-1-1-1-1-1-2-2-122-1-22-2-222-1-1-2-21111110000-200-200001-111-1-1002-21000002100-1-1000-1100
χ372-2-2222-222-2-2-2-2222-2-22-2-22-22000000-222-22-222-2-22-22-200000000000000000002-22-200000000000000
χ382-2-2222-222-2-2-2-2222-2-22-2-22-22000000-222-22-222-2-2-22-220000000000000000000-22-2200000000000000
χ392-2-2222-222-2-2-2-2222-2-2-22-22-22000000-22-22-22-2-2222-2-2200000000000000000002-2-2200000000000000
χ402-2-2222-222-2-2-2-2222-2-2-22-22-22000000-22-22-22-2-222-222-20000000000000000000-222-200000000000000
χ412-2-222-1-22-1-2-2112-1-1112-2-2-112003−33−31-1-112-2-1-1112-22-200003−33−3003−33−300000-11-110003−3000000000
χ422-2-222-1-22-1-2-2112-1-1112-2-2-112003−33−31-1-112-2-1-111-22-220000−33−33003−33−3000001-11-1000−33000000000
χ432-2-222-1-22-1-2-2112-1-1112-2-2-11200−33−331-1-112-2-1-1112-22-20000−33−3300−33−3300000-11-11000−33000000000
χ442-2-222-1-22-1-2-2112-1-1112-2-2-11200−33−331-1-112-2-1-111-22-2200003−33−300−33−33000001-11-10003−3000000000
χ452-2-222-1-22-1-2-2112-1-111-22-2-112003−3−331-11-1-2211-1-12-2-2200003−33−3003−3−3300000-111-1000−33000000000
χ462-2-222-1-22-1-2-2112-1-111-22-2-112003−3−331-11-1-2211-1-1-222-20000−33−33003−3−33000001-1-110003−3000000000
χ472-2-222-1-22-1-2-2112-1-111-22-2-11200−333−31-11-1-2211-1-12-2-220000−33−3300−333−300000-111-10003−3000000000
χ482-2-222-1-22-1-2-2112-1-111-22-2-11200−333−31-11-1-2211-1-1-222-200003−33−300−333−3000001-1-11000−33000000000
χ4944444-2-4-4-244-2-24-2-2-2-200-422-40000002200000000000004-40-2-22200000000000000000000000000000
χ5044444-2-4-4-244-2-24-2-2-2-200-422-4000000220000000000000-44022-2-200000000000000000000000000000
χ514444-24-4-44-2-244-2-2-2-2-2002-4-4200000022000000000000400-400000000000000-2000000200000000000
χ524444-24-4-44-2-244-2-2-2-2-2002-4-4200000022000000000000-4004000000000000002000000-200000000000
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
χ5744-4-44400-44-44-4-44-44-4000000000000000000000000000000000000000000000000000000000−2i22i20000
χ5844-4-44400-44-44-4-44-44-40000000000000000000000000000000000000000000000000000000002i2−2i20000
χ594-44-44400-4-44-44-44-4-4400000000000000000000000000000000000000004i−4i000000000000000000000
χ604-44-44400-4-44-44-44-4-440000000000000000000000000000000000000000−4i4i000000000000000000000
χ614-4-44444-44-4-4-4-4444-4-4004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-4-2-4-4224-2-2220042-2-4000000-22000000000000000023−23−232300000000000000000000000000000
χ634-4-444-24-4-2-4-4224-2-2220042-2-4000000-220000000000000000−232323−2300000000000000000000000000000
χ644-4-44-244-4422-4-4-2-2-22200-2-442000000-22000000000000000000000000000000000000000023−230000000
χ654-4-44-244-4422-4-4-2-2-22200-2-442000000-220000000000000000000000000000000000000000−23230000000
χ664-4-44-24-44422-4-4-2-2-2224-424-4-20000002-24-4-22-2-22200000000000000000000000000000000000000000
χ674-4-44-24-44422-4-4-2-2-222-4424-4-20000002-2-442-222-2-200000000000000000000000000000000000000000
χ684-4-44-2-2-44-22222-211-1-14-42-22-20023−2323−23-11-22-2211-1-100000000000000−33−3300000000000000000000000
χ694-4-44-2-2-44-22222-211-1-14-42-22-200−2323−2323-11-22-2211-1-1000000000000003−33−300000000000000000000000
χ704-4-44-2-2-44-22222-211-1-1-442-22-20023−23−2323-112-22-2-1-11100000000000000−333−300000000000000000000000
χ714-4-44-2-2-44-22222-211-1-1-442-22-200−232323−23-112-22-2-1-111000000000000003−3−3300000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-40048-8-44-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4800-8-448-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-44-4442-22-2000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-22-20000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ778-88-88-4004-884-4-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-84-4-884-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-442-2-22000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-40044-44-442-2-220000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-48-8-44444-422-2-200-44-440000002-20000000000000000000000000000000000000000000000000

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