Finite Group Databasebeta

← Group #11878718

Character table — Group #11878718

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666366688121212122244441212121212122424242424242424446688881212121212121212444422446612121212242424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-11111111111111111111-1-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-111-1-111-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-1111111-1-111-1-11111-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-11-111-1-1-1-1-1-11-1-11-1-1-11-1-1-1-1111111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-11-1-111-1-1-1-1-111-111-1111-1-11111-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111111-111-1-1-1-1-1-1-111-1111-11111-1-111-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111-11-1-111-1-1-1-11-1-11-1-11-1-1-111-1-111111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-111-1-1-1-1111111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111111111-1-111-1-1-1-11111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-222000022000000-2-222000000-2-2000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2220000-2-200000022-2-20000002-2000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-22-2-200002200000022-2-2000000-22000000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-20000000022-2-20000-2-2000000-2-22200000022000000000000
χ2122222-122-1-1222-1-1-1-1-1222-1-1222002222-1-1-1-1-1-122-1-1-1-102-1-1002200-12-1-1-1-100002020000-1-1-1-1-10000-1000
χ2222222-122-1-1222-1-1-1-1-1222-1-122200-2-2-2-211-1-1-1-122-1-1-1-102-1-10022001-211110000-20-20000-111-1-100001000
χ2322222-122-1-1222-1-1-1-1-1222-1-12-2-2002222-1-1-1-1-1-122-1-1-1-10-21100-2-200-12-1-1-1-10000-20-200001111100001000
χ2422222-122-1-1222-1-1-1-1-1222-1-12-2-200-2-2-2-211-1-1-1-122-1-1-1-10-21100-2-2001-21111000020200001-1-1110000-1000
χ2522222-122-1-1222-1-1-1-1-1-2-22-1-1222002-22211-1-111-2-2111102-1-100-2-200-1-2-1-111000020-20000-111110000-1000
χ2622222-122-1-1222-1-1-1-1-1-2-22-1-122200-22-2-2-1-1-1-111-2-2111102-1-100-2-2001211-1-10000-2020000-1-1-11100001000
χ2722222-122-1-1222-1-1-1-1-1-2-22-1-12-2-2002-22211-1-111-2-211110-211002200-1-2-1-1110000-20200001-1-1-1-100001000
χ2822222-122-1-1222-1-1-1-1-1-2-22-1-12-2-200-22-2-2-1-1-1-111-2-211110-2110022001211-1-1000020-20000111-1-10000-1000
χ292222-122222-1-1-12-1-1-1-122-122-1002222-1-122-1-122-1-1-1-1-1-120002200-1-12-1-1-1-1-100000202-1-1-100000-1-1000-100
χ302222-122222-1-1-12-1-1-1-122-122-10022-2-211-2-2-1-122-1-1-1-1-1-120002200-1-1-21111100000-20-211-100000-1-1000100
χ312222-122222-1-1-12-1-1-1-122-122-100-2-222-1-122-1-122-1-1-1-1-1-1-2000-2-200112-1-1-1-1-100000-20-21110000011000100
χ322222-122222-1-1-12-1-1-1-122-122-100-2-2-2-211-2-2-1-122-1-1-1-1-1-1-2000-2-20011-21111100000202-1-110000011000-100
χ332222-122222-1-1-12-1-1-1-1-2-2-122-100222-2-1-1-2-2-1-1-2-21111112000-2-200-1-121-1-1110000020-2-1-1-10000011000100
χ342222-122222-1-1-12-1-1-1-1-2-2-122-10022-221122-1-1-2-21111112000-2-200-1-1-2-111-1-100000-20211-10000011000-100
χ352222-122222-1-1-12-1-1-1-1-2-2-122-100-2-22-2-1-1-2-2-1-1-2-2111111-200022001121-1-11100000-20211100000-1-1000-100
χ362222-122222-1-1-12-1-1-1-1-2-2-122-100-2-2-221122-1-1-2-2111111-2000220011-2-111-1-10000020-2-1-1100000-1-1000100
χ372-22-22200-22-22-2-22-22-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−i2i22-2000000002-20000000000−i2i2−i2i2−i2i20000
χ382-22-22200-22-22-2-22-22-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i2002-2i2−i2−i2i2-2200000000-220000000000−i2i2i2−i2i2−i20000
χ392-22-22200-22-22-2-22-22-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i200-22−i2i2i2−i22-200000000-220000000000i2−i2−i2i2i2−i20000
χ402-22-22200-22-22-2-22-22-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i200-22i2−i2i2−i2-22000000002-20000000000i2−i2i2−i2−i2i20000
χ412-22-22200-22-22-2-22-22-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2i2−i22-2000000002-20000000000i2−i2i2−i2i2−i20000
χ422-22-22200-22-22-2-22-22-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i2002-2−i2i2i2−i2-2200000000-220000000000i2−i2−i2i2−i2i20000
χ432-22-22200-22-22-2-22-22-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i200-22i2−i2−i2i22-200000000-220000000000−i2i2i2−i2−i2i20000
χ442-22-22200-22-22-2-22-22-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−i2i2-22000000002-20000000000−i2i2−i2i2i2−i20000
χ4544444-2-4-4-2-2444-2-2-2-2-200-422-4440000000022000000000-4-2-2000000000000000000000002000000000000
χ4644444-2-4-4-2-2444-2-2-2-2-200-422-4-4-4000000002200000000042200000000000000000000000-2000000000000
χ474444-24-4-444-2-2-24-2-2-2-2002-4-4200440000002200000000-40000000-2-2000000000000000020000000000000
χ484444-24-4-444-2-2-24-2-2-2-2002-4-4200-4-4000000220000000040000000220000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2211-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-2-1-111000000000000000000000000
χ5344-4-444004-44-4-4-444-4-40000000000000000000000000000000000000000004-40000000000000000000000
χ5444-4-444004-44-4-4-444-4-4000000000000000000000000000000000000000000-440000000000000000000000
χ554-44-44-2002-2-44-42-22-22−2i22i200004-40000000000i2−i2−2i22i2i2i2−i2−i200-2200−2i22i20000000000000000000000i2−i200000000
χ564-44-44-2002-2-44-42-22-22−2i22i20000-440000000000i2−i2−2i22i2i2i2−i2−i2002-2002i2−2i20000000000000000000000−i2i200000000
χ574-44-44-2002-2-44-42-22-222i2−2i200004-40000000000−i2i22i2−2i2−i2−i2i2i200-22002i2−2i20000000000000000000000−i2i200000000
χ584-44-44-2002-2-44-42-22-222i2−2i20000-440000000000−i2i22i2−2i2−i2−i2i2i2002-200−2i22i20000000000000000000000i2−i200000000
χ594-44-4-2400-442-22-4-22-22−2i22i20000004-400000000−2i22i2i2−i2i2i2−i2−i20000−2i22i200-220000000000000000000000i2−i2000000
χ604-44-4-2400-442-22-4-22-22−2i22i2000000-4400000000−2i22i2i2−i2i2i2−i2−i200002i2−2i2002-20000000000000000000000−i2i2000000
χ614-44-4-2400-442-22-4-22-222i2−2i20000004-4000000002i2−2i2−i2i2−i2−i2i2i200002i2−2i200-220000000000000000000000−i2i2000000
χ624-44-4-2400-442-22-4-22-222i2−2i2000000-44000000002i2−2i2−i2i2−i2−i2i2i20000−2i22i2002-20000000000000000000000i2−i2000000
χ634-4-44444-4-4-4-4-4444-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ644-4-4444-44-4-4-4-4444-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ654-4-444-24-422-4-44-2-222-200-4-22400000000002-2000000000000000000000000000000000000−2i32i30000000000
χ664-4-444-24-422-4-44-2-222-200-4-22400000000002-20000000000000000000000000000000000002i3−2i30000000000
χ674-4-444-2-4422-4-44-2-222-20042-2-400000000−2i32i3-220000000000000000000000−2i32i3000000000000000000000000
χ684-4-444-2-4422-4-44-2-222-20042-2-4000000002i3−2i3-2200000000000000000000002i3−2i3000000000000000000000000
χ694-4-44-244-4-4-422-24-222-20024-4-200000000002-200000000000000000000000000000000−2i32i300000000000000
χ704-4-44-244-4-4-422-24-222-20024-4-200000000002-2000000000000000000000000000000002i3−2i300000000000000
χ714-4-44-24-44-4-422-24-222-200-2-44200000023−2300-220000000000000000000023−2300000000000000000000000000
χ724-4-44-24-44-4-422-24-222-200-2-442000000−232300-2200000000000000000000−232300000000000000000000000000
χ734-4-44-2-2-442222-2-21-1-1100-22-2200000023−23−2i32i31-100003i−3i3i−3i000000000000−33i3−i3000000000000000000000000
χ744-4-44-2-2-442222-2-21-1-1100-22-2200000023−232i3−2i31-10000−3i3i−3i3i000000000000−33−i3i3000000000000000000000000
χ754-4-44-2-2-442222-2-21-1-1100-22-22000000−2323−2i32i31-10000−3i3i−3i3i0000000000003−3i3−i3000000000000000000000000
χ764-4-44-2-2-442222-2-21-1-1100-22-22000000−23232i3−2i31-100003i−3i3i−3i0000000000003−3−i3i3000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-400-448-8-84-4-444000000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-48008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-444422-2-2000000000000000000000032−32−32320000000000000000000000000000000000000000
χ8188-8-8-4-400-44-444422-2-20000000000000000000000−323232−320000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4442-22-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ838-88-8-4-4004-44-4442-22-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-42-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000

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