Finite Group Databasebeta

← Group #11889465

Character table — Group #11889465

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242424444444121212121212121212122244688121212121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-111-11-1-1-1-111111111-1-1-1111-111-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-11-1-11-11111-1-1111111-1-11-1-1-11-1-1111-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1111-1-1111-11-1-1111-1-1-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-111-1111-1-111-1111-1-1-1-1-1-11-1111-111-1-111-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1111-1-1-1-111-11-1-1-11-1-111-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11-111-1-1-11111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1111111111-1-1-11111-111-1-1-1-1111-1-1-1-11-1-1-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111-1-1-111-1-1111-11-1-1-1-1-1-1-111-111111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11111-11111-1-11-1-1-111-1-1-1-1-11-11111111-1-1-111-1-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000002200-2-200-2-2-2-2000000-2-2002000020000002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2002-20022-2-2000000220020000-2000000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-2200-2200-2-2220000002200-200002000000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-20022002222000000-2-200-20000-20000002000000
χ2122222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-12022020000-1-1-12-1-1-1-10002-120-1-1000-1-1000000-100
χ2222222-122-1-1222-1-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-1-20-2-20-2000011-12-1-1-1-1000-21-201100011000000100
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-120-2-2020000-1-11-21111000-2-12011000-1-1000000100
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-1-20220-20000111-2111100021-20-1-100011000000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-211112022020000-1-112-1-111000-2-1-20-1-100011000000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-21111-20-2-20-200001112-1-111000212011000-1-1000000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-2111120-2-2020000-1-1-1-211-1-10002-1-201100011000000-100
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-221122-1-111-2-21111-20220-2000011-1-211-1-1000-2120-1-1000-1-1000000100
χ292222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-102002022-1-1002-1-1-1-1-1002000200-1-1-100-1-1000-1000
χ302222-122222-1-1-12-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-10-200-20-2-211002-1-1-1-1-100-2000-20011100110001000
χ312222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1020020-2-2-1-100-21111100-2000200-11100-1-10001000
χ322222-122222-1-1-12-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-10-200-20221100-211111002000-2001-1-10011000-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-2111111020020-2-2-1-100-2-1-1-111002000-200-1110011000-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-122-12-22211-1-1-2-21111110-200-20221100-2-1-1-11100-20002001-1-100-1-10001000
χ352222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-211111102002022-1-1002111-1-100-2000-200-1-1-100110001000
χ362222-122222-1-1-12-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111110-200-20-2-211002111-1-100200020011100-1-1000-1000
χ372-2-22222-2-2-22-2-222-22-2002-22-20000002-200000000002i−2i002-2000000000000000002i−2i02-2000002i−2i0000
χ382-2-22222-2-2-22-2-222-22-2002-22-20000002-200000000002i−2i00-22000000000000000002i−2i0-2200000−2i2i0000
χ392-2-22222-2-2-22-2-222-22-2002-22-20000002-20000000000−2i2i002-200000000000000000−2i2i02-200000−2i2i0000
χ402-2-22222-2-2-22-2-222-22-2002-22-20000002-20000000000−2i2i00-2200000000000000000−2i2i0-22000002i−2i0000
χ4144444-2-4-4-2-2444-2-2-2-2-200-422-4000000220000000040000-40000220000000000-2000000000000000000
χ4244444-2-4-4-2-2444-2-2-2-2-200-422-40000002200000000-4000040000-2-200000000002000000000000000000
χ434444-24-4-444-2-2-24-2-2-2-2002-4-4200000022000000000400-40002200000000000000000-20000000000000
χ444444-24-4-444-2-2-24-2-2-2-2002-4-4200000022000000000-4004000-2-20000000000000000020000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-10000000000002-211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000000000-22-1-11100000000000000000000000
χ4944-4-444004-4-44-4-44-4-4422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000000
χ5044-4-444004-4-44-4-44-4-44−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000000
χ5144-4-44-200-22-44-42-222-222−22000000000000−2222−22−2−222000000000023−230000000000000000006−6000000000
χ5244-4-44-200-22-44-42-222-222−22000000000000−2222−22−2−2220000000000−2323000000000000000000−66000000000
χ5344-4-44-200-22-44-42-222-2−22220000000000002−2−222222−2−2000000000023−23000000000000000000−66000000000
χ5444-4-44-200-22-44-42-222-2−22220000000000002−2−222222−2−20000000000−23230000000000000000006−6000000000
χ5544-4-4-24004-42-22-4-222-222−2200000000000022−22−22−2−2220000000023−2300000000000000000000006−60000000
χ5644-4-4-24004-42-22-4-222-222−2200000000000022−22−22−2−22200000000−23230000000000000000000000−660000000
χ5744-4-4-24004-42-22-4-222-2−2222000000000000−22222−222−2−20000000023−230000000000000000000000−660000000
χ5844-4-4-24004-42-22-4-222-2−2222000000000000−22222−222−2−200000000−232300000000000000000000006−60000000
χ594-44-44400-44-4-44-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ604-44-44400-44-4-44-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ614-4-4444-44-4-44-4-444-44-400-44-44000000-440000000000000000000000000000000000000000000000000
χ624-4-444-24-4224-4-4-2-22-220042-2-4000000-2200000000004i−4i000000000000000000000−2i2i00000000000000
χ634-4-444-24-4224-4-4-2-22-220042-2-4000000-220000000000−4i4i0000000000000000000002i−2i00000000000000
χ644-4-444-2-44224-4-4-2-22-2200-4-2240023−23002-2000000000000000000000023−230000000000000000000000000
χ654-4-444-2-44224-4-4-2-22-2200-4-22400−2323002-20000000000000000000000−23230000000000000000000000000
χ664-4-44-244-4-4-4-2224-22-2200-2-442000000-22000000000000004-400000000000000000000-2200000000000
χ674-4-44-244-4-4-4-2224-22-2200-2-442000000-2200000000000000-44000000000000000000002-200000000000
χ684-4-44-24-44-4-4-2224-22-220024-4-2000023−232-200000000000000000000000023−2300000000000000000000000
χ694-4-44-24-44-4-4-2224-22-220024-4-20000−23232-2000000000000000000000000−232300000000000000000000000
χ704-4-44-2-2-4422-222-21-11-1002-22-20023−2323−23-1100003-33-300000000000000−33−3300000000000000000000000
χ714-4-44-2-2-4422-222-21-11-1002-22-20023−23−2323-110000-33-3300000000000000−333−300000000000000000000000
χ724-4-44-2-2-4422-222-21-11-1002-22-200−232323−23-110000-33-33000000000000003−3−3300000000000000000000000
χ734-4-44-2-2-4422-222-21-11-1002-22-200−2323−2323-1100003-33-3000000000000003−33−300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-444-4442-2-2242−42000000000000−2222−222222−2−200000000000000000000000000000000000000000
χ7688-8-8-4-400-444-4442-2-22−424200000000000022−2222−22−2−22200000000000000000000000000000000000000000
χ778-88-88-4004-4-8-884-4-444000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-8844-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-444-4422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ808-88-8-4-4004-444-4422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000
χ818-8-88-4-48-844-444-42-22-200-44-440000002-20000000000000000000000000000000000000000000000000

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