Finite Group Databasebeta

← Group #11884651

Character table — Group #11884651

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242224444466121212121212121244246688121212122424242428861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-1-1-1-111111111-1-11-111-111-1-1-1-1-111-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-111111-1-1111111-1-1-11-1-11-1-111111-1-1-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-11-1-111-1-1-1-1-11-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-111-111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-111-1-111-1-1-1-1111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-111-1-111-1111-1-111-1-1-1-1-1-11-1-1-11-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-111-111-1-1111-111-1-1-1-1-1-1111-11-11111-1-1-111-1-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-111-1-1-1-111-1-1-11-11-1-1-1-111-111111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1111-1-1-111-1-11111111-1-11-1-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-1-11-1-111-1-1-1-111-11-1111-1-111-111-1-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-111111-1-1-1-111111-1-1-111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11-1-111111-1-1-1-1-11111-1-1-1-11-1-11-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-111-1-111-1-11-11-1-1-111-1-1-11111-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-2-20022-2-2000000220000002-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-22-2002222000000-2-2000000-2-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-2200-2-2-2-2000000-2-2000000220000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22200-2-22200000022000000-22000000-2000000
χ2122222-12222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-12202200000-1-12-1-1-1-1-10020-1-102-100000-1-1000-1000
χ2222222-12222-1-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-2-20-2-200000112-1-1-1-1-100-20110-2100000110001000
χ2322222-12222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1220-2-20000011-2111110020-1-10-210000011000-1000
χ2422222-12222-1-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1-2-202200000-1-1-21111100-201102-100000-1-10001000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-21111112202200000-1-121-1-11100-20-1-10-2-100000110001000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-2111111-2-20-2-2000001121-1-11100201102100000-1-1000-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-2111111220-2-20000011-2-111-1-100-20-1-102100000-1-10001000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-2111111-2-202200000-1-1-2-111-1-10020110-2-10000011000-1000
χ292222-1222-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-100200222-1-100-12-1-1-1-1000200200-1-1-1-1-1000000-100
χ302222-1222-1-1222-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-100-200-2-2-21100-12-1-1-1-1000-200-20011111000000100
χ312222-1222-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-1002002-2-2-1-1001-21111000-200200-111-1-1000000100
χ322222-1222-1-1222-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-100-200-22211001-21111000200-2001-1-111000000-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-21111002002-2-2-1-100-1-2-1-111000200-200-11111000000-100
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-122-22211-1-111-2-2111100-200-2221100-1-2-1-111000-2002001-1-1-1-1000000100
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-2111100200222-1-1001211-1-1000-200-200-1-1-111000000100
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-2111100-200-2-2-211001211-1-1000200200111-1-1000000-100
χ372-2-2222-22-2-22-2-222-2-2200-22-22000000-22000000002-200002-2000000000000002-200002-2000002-20000
χ382-2-2222-22-2-22-2-222-2-2200-22-22000000-22000000002-20000-22000000000000002-20000-2200000-220000
χ392-2-2222-22-2-22-2-222-2-2200-22-22000000-2200000000-2200002-200000000000000-2200002-200000-220000
χ402-2-2222-22-2-22-2-222-2-2200-22-22000000-2200000000-220000-2200000000000000-220000-22000002-20000
χ4144444-2-4-444-2-2-24-2-2-2-2002-4-4200000022000000000004-4000002200000000000000-200000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2002-4-420000002200000000000-4400000-2-200000000000000200000000000000
χ434444-24-4-4-2-2444-2-2-2-2-200-422-4000000220000000000400-400-2-20000000000000000020000000000000
χ444444-24-4-4-2-2444-2-2-2-2-200-422-4000000220000000000-4004002200000000000000000-20000000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ4944-4-444004-4-44-4-444-4-422−2200000000000022−2222−222222−22−2200000000000000000000000000000000000000000
χ5044-4-444004-4-44-4-444-4-4−2222000000000000−2222−2222−22−22222200000000000000000000000000000000000000000
χ5144-4-44-2004-42-22-4-2-22222−2200000000000022−22−22−2−222000000000023−23000000000000000000006−60000000
χ5244-4-44-2004-42-22-4-2-22222−2200000000000022−22−22−2−2220000000000−232300000000000000000000−660000000
χ5344-4-44-2004-42-22-4-2-222−2222000000000000−22222−222−2−2000000000023−2300000000000000000000−660000000
χ5444-4-44-2004-42-22-4-2-222−2222000000000000−22222−222−2−20000000000−2323000000000000000000006−60000000
χ5544-4-4-2400-22-44-42-2-22222−22000000000000−2222−22−2−22200000000−2i32i300000000000000000000i6−i6000000000
χ5644-4-4-2400-22-44-42-2-22222−22000000000000−2222−22−2−222000000002i3−2i300000000000000000000−i6i6000000000
χ5744-4-4-2400-22-44-42-2-222−22220000000000002−2−222222−2−200000000−2i32i300000000000000000000−i6i6000000000
χ5844-4-4-2400-22-44-42-2-222−22220000000000002−2−222222−2−2000000002i3−2i300000000000000000000i6−i6000000000
χ594-44-44400-44-4-44-44-44-400000000000000000000000000000000000000004i−4i000000000000000000000
χ604-44-44400-44-4-44-44-44-40000000000000000000000000000000000000000−4i4i000000000000000000000
χ614-4-44444-4-4-44-4-444-4-44004-44-40000004-40000000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-4-2224-222-200-2-4420023−2300-22000000000000000000000023−230000000000000000000000000
χ634-4-444-24-4-4-4-2224-222-200-2-44200−232300-220000000000000000000000−23230000000000000000000000000
χ644-4-444-2-44-4-4-2224-222-20024-4-20000002-2000000004-400000000000000000000-2200000000000000000
χ654-4-444-2-44-4-4-2224-222-20024-4-20000002-200000000-44000000000000000000002-200000000000000000
χ664-4-44-244-4224-4-4-2-222-20042-2-40000−2i32i3-22000000000000000000000000−2i32i300000000000000000000000
χ674-4-44-244-4224-4-4-2-222-20042-2-400002i3−2i3-220000000000000000000000002i3−2i300000000000000000000000
χ684-4-44-24-44224-4-4-2-222-200-4-2240000002-2000000000000004-400000000000000000000-2200000000000
χ694-4-44-24-44224-4-4-2-222-200-4-2240000002-200000000000000-44000000000000000000002-200000000000
χ704-4-44-2-24-422-222-21-1-1100-22-220023−23−2i32i31-100003i−3i3i−3i00000000000000−33i3−i300000000000000000000000
χ714-4-44-2-24-422-222-21-1-1100-22-220023−232i3−2i31-10000−3i3i−3i3i00000000000000−33−i3i300000000000000000000000
χ724-4-44-2-24-422-222-21-1-1100-22-2200−2323−2i32i31-10000−3i3i−3i3i000000000000003−3i3−i300000000000000000000000
χ734-4-44-2-24-422-222-21-1-1100-22-2200−23232i3−2i31-100003i−3i3i−3i000000000000003−3−i3i300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-444-44422-2-242−42000000000000−2222−222222−2−200000000000000000000000000000000000000000
χ7688-8-8-4-400-444-44422-2-2−424200000000000022−2222−22−2−22200000000000000000000000000000000000000000
χ778-88-88-400-8844-4-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48004-4-8-884-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-444-442-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-4004-444-442-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-4-8844-444-42-2-22004-44-4000000-220000000000000000000000000000000000000000000000000

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