Finite Group Databasebeta

← Group #11878534

Character table — Group #11878534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order1222334466666636668812121212441212121212122424242424242424224412121212121212121212224466666688242424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-11111111-11-1111-1-1-11-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111111111-11-11-1-1-1111-11-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-11-111-1-1-1111-111-1-1-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-11-11-1-1111-1-1-11-1-111-1-1-1-11-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-11-1-111111-1-1-1-1-1-1-1-111-1-1-111-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-111-1-1111-111-11-1-111-1-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-1-111-1-1-11-1-11-111-1-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-11111111111-1-11-11-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-111-11-1-1111-1-1-1-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-111-1-1111-1-1-1-1-1-11-1-111-1-111111-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-11111-1-1-1111111-111-1-1-1-111-1-11-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11-111-1-1-111111111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-2-2-2-2-20000000000200200000000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-22-2-2220000000000200-2000000002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-222-2-20000000000-2002000000002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-22222220000000000-200-200000000-22000000
χ2122222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1020200-1-1-12-1-1-1-10202000-1-1-10200-1-100000-100
χ2222222-1222-12-12-1-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-10-20-20011-12-1-1-1-10-20-20001110-2001100000100
χ2322222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1020200-1-11-211110-20-2000-1110200-1-100000100
χ2422222-1222-12-12-1-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-10-20-200111-2111102020001-1-10-2001100000-100
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-2111111020200-1-1-1-2-1-1110-202000-1110-2001100000-100
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-12-22211-1-1-2-21111110-20-20011-1-2-1-111020-20001-1-10200-1-100000100
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111020200-1-11211-1-1020-2000-1-1-10-2001100000100
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-21111110-20-200111211-1-10-2020001110200-1-100000-100
χ292222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-12020-1-1002-1-1-1-1-12020-1-1-100020-1-1000000-1000
χ302222-1222-12-12-12-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1-20-2011002-1-1-1-1-1-20-20111000-20110000001000
χ312222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-211111-20-20-11100020-1-10000001000
χ322222-1222-12-12-12-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1-20-201100-21111120201-1-1000-2011000000-1000
χ332222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211112020-1-10021-1-11120-20-1-1-1000-20110000001000
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111-20-20110021-1-111-202011100020-1-1000000-1000
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-211112020-1-100-2-111-1-1-2020-111000-2011000000-1000
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-221122-1-111-2-21111-20-201100-2-111-1-120-201-1-100020-1-10000001000
χ3744444-2-4-44-24-24-2-2-2-2-200-42-420000002200000000040-400220000000000000-20000000000000000
χ3844444-2-4-44-24-24-2-2-2-2-200-42-4200000022000000000-40400-2-2000000000000020000000000000000
χ394444-24-4-4-24-24-24-2-2-2-2002-42-4000000220000000040-4022000000000000-20000000000000000000
χ404444-24-4-4-24-24-24-2-2-2-2002-42-40000002200000000-4040-2-200000000000020000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000022-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2211-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-2-1-111000000000000000000000000
χ4544-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000022−220000
χ4644-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ474-44-4444-4-4-4-4-4444-4-4400-4-4440000004-40000000000000000000000000000000000000000000000
χ484-44-444-44-4-4-4-4444-4-440044-4-4000000-440000000000000000000000000000000000000000000000
χ494-44-44-24-4-42-424-2-222-200-424-2000000-22000000000000000000000000000000−2i32i300000000000000
χ504-44-44-24-4-42-424-2-222-200-424-2000000-220000000000000000000000000000002i3−2i300000000000000
χ514-44-44-2-44-42-424-2-222-2004-2-420000−2i32i32-200000000000000000000−2i32i3000000000000000000000000
χ524-44-44-2-44-42-424-2-222-2004-2-4200002i3−2i32-2000000000000000000002i3−2i3000000000000000000000000
χ534-44-4-244-42-42-4-24-222-2002-4-24000000-22000000000000000000000000000−2i32i300000000000000000
χ544-44-4-244-42-42-4-24-222-2002-4-24000000-220000000000000000000000000002i3−2i300000000000000000
χ554-44-4-24-442-42-4-24-222-200-242-400−2i32i3002-2000000000000000000−2i32i300000000000000000000000000
χ564-44-4-24-442-42-4-24-222-200-242-4002i3−2i3002-20000000000000000002i3−2i300000000000000000000000000
χ574-44-4-2-2-442222-2-21-1-1100-2-22200−2i32i3−2i32i3-11000033-3-30000000000i3−i3i3−i3000000000000000000000000
χ584-44-4-2-2-442222-2-21-1-1100-2-22200−2i32i32i3−2i3-110000-3-3330000000000i3−i3−i3i3000000000000000000000000
χ594-44-4-2-2-442222-2-21-1-1100-2-222002i3−2i3−2i32i3-110000-3-3330000000000−i3i3i3−i3000000000000000000000000
χ604-44-4-2-2-442222-2-21-1-1100-2-222002i3−2i32i3−2i3-11000033-3-30000000000−i3i3−i3i3000000000000000000000000
χ614-4-444400-4-444-4-44-44-422−2200000000000022−2222−2222−2222−2200000000000000000000000000000000000000
χ624-4-444400-4-444-4-44-44-4−2222000000000000−2222−2222−2222−222200000000000000000000000000000000000000
χ634-4-444-200-424-2-42-22-2222−2200000000000022−22−22−22−2200000023−23000000000000000000006−600000000
χ644-4-444-200-424-2-42-22-2222−2200000000000022−22−22−22−22000000−232300000000000000000000−6600000000
χ654-4-444-200-424-2-42-22-22−2222000000000000−22222−22−22−200000023−2300000000000000000000−6600000000
χ664-4-444-200-424-2-42-22-22−2222000000000000−22222−22−22−2000000−2323000000000000000000006−600000000
χ674-4-44-24002-4-242-4-22-2222−22000000000000−2222−22−22−22000023−23000000000000000000006−60000000000
χ684-4-44-24002-4-242-4-22-2222−22000000000000−2222−22−22−220000−232300000000000000000000−660000000000
χ694-4-44-24002-4-242-4-22-22−22220000000000002−2−22222−22−2000023−2300000000000000000000−660000000000
χ704-4-44-24002-4-242-4-22-22−22220000000000002−2−22222−22−20000−2323000000000000000000006−60000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-88-4008-4-84-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4800-484-84-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4-4444422-2-200000000000000000032−32−323200000000000000000000000000000000000000
χ7588-8-8-4-400-4-4444422-2-2000000000000000000−323232−3200000000000000000000000000000000000000
χ768-88-8-4-48-84444-4-42-2-220044-4-40000002-20000000000000000000000000000000000000000000000
χ778-8-88-4-40044-4-4442-22-242−42000000000000−2222−22222−22−200000000000000000000000000000000000000
χ788-8-88-4-40044-4-4442-22-2−424200000000000022−2222−22−22−2200000000000000000000000000000000000000

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