Finite Group Databasebeta

← Group #10591494

Character table — Group #10591494

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11112222222222444444444488888888881212121212121212121212121818242424242424363636
order122233446666662236661212121266666666121288882424242424242424444412121212444
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1
χ611111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-111
χ711111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-111
χ811111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ9222222-2-2222222002222-2-2-2-200000000-2-200000000000022000000-200
χ10222222-2-2222222002222-2-2-2-200000000-2-2000000000000-2-2000000200
χ1122222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ1222222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ1322222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100220000-1-1-1-1000-20011000
χ1422222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100-2-200001111000200-1-1000
χ152222-1222-12-12-1222-1-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ162222-1222-12-12-1222-1-1-1-1-12-12-1-122-1-1-1-1-1-1-2-2001111000000-201100000
χ172222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-12200-1-1-1-1000000-201100000
χ182222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-1-2-200111100000020-1-100000
χ1922-2-2222-2-2-222-2-22-22-2-2222-2-22-22-222-2-22-200000000000000000000000
χ2022-2-2222-2-2-222-2-2-222-2-2222-2-2-22-22-2-2222-200000000000000000000000
χ2122-2-222-22-2-222-2-2002-2-22-2-22200000000-220000000000000000000002i−2i
χ2222-2-222-22-2-222-2-2002-2-22-2-22200000000-22000000000000000000000−2i2i
χ2322-2-22-12-2-212-1-212-2-111-12-1-212-2-11-1-111-110000000033−3−30000003−3000
χ2422-2-22-12-2-212-1-212-2-111-12-1-212-2-11-1-111-1100000000−3−333000000−33000
χ2522-2-22-12-2-212-1-21-22-111-12-1-21-221-111-1-1-110000000033−3−3000000−33000
χ2622-2-22-12-2-212-1-21-22-111-12-1-21-221-111-1-1-1100000000−3−3330000003−3000
χ2722-2-2-122-21-2-121-22-2-111-1-121-2-112-2-1-111-11000033−3−3000000003−300000
χ2822-2-2-122-21-2-121-22-2-111-1-121-2-112-2-1-111-110000−3−33300000000−3300000
χ2922-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-11000033−3−300000000−3300000
χ3022-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-110000−3−333000000003−300000
χ312-2-222200-2-2-2-2220022-2-2000000000000002−22−22−22−22−22−22-2000000000
χ322-2-222200-2-2-2-2220022-2-2000000000000002−2−222−22−2−22−22-22000000000
χ332-2-222200-2-2-2-2220022-2-200000000000000−222−2−22−222−22−2-22000000000
χ342-2-222200-2-2-2-2220022-2-200000000000000−22−22−22−22−22−222-2000000000
χ3544444-2-4-44-24-24-200-2-2-2-2-42-42000000002200000000000000000000000
χ364444-24-4-4-24-24-2400-2-2-2-22-42-4000000002200000000000000000000000
χ374444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-211111100000000000000000000000
χ384444-2-244-2-2-2-2-2-2-4-41111-2-2-2-22222-1-1-1-11100000000000000000000000
χ394444-2-2-4-4-2-2-2-2-2-2001111222200003-33-3-1-100000000000000000000000
χ404444-2-2-4-4-2-2-2-2-2-200111122220000-33-33-1-100000000000000000000000
χ4144-4-44-2-44-424-2-4200-222-2-424-2000000002-200000000000000000000000
χ4244-4-4-24-442-4-242-400-222-22-4-24000000002-200000000000000000000000
χ4344-4-4-2-24-422-2-2224-41-1-11-2-222-22-2211-1-11-100000000000000000000000
χ4444-4-4-2-24-422-2-222-441-1-11-2-2222-22-2-1-1111-100000000000000000000000
χ4544-4-4-2-2-4422-2-222001-1-1122-2-200003-3-33-1100000000000000000000000
χ4644-4-4-2-2-4422-2-222001-1-1122-2-20000-333-3-1100000000000000000000000
χ474-44-4440044-4-4-4-4004-44-40000000000000000000000000000000000000
χ484-44-44-2004-2-42-4200-22-2200000000000000000000006−6−6600000000000
χ494-44-44-2004-2-42-4200-22-220000000000000000000000−666−600000000000
χ504-44-4-2400-242-42-400-22-220000000000000000006−6−66000000000000000
χ514-44-4-2400-242-42-400-22-22000000000000000000−666−6000000000000000
χ524-4-444-200-42-424-200-2-222000000000000000022−220000−22−2200000000000
χ534-4-444-200-42-424-200-2-2220000000000000000−222200002−22−200000000000
χ544-4-44-24002-42-4-2400-2-2220000000000000022−2200−22−22000000000000000
χ554-4-44-24002-42-4-2400-2-22200000000000000−2222002−22−2000000000000000
χ568-88-8-4-400-4-44444002-22-20000000000000000000000000000000000000
χ578-8-88-4-4004444-4-40022-2-20000000000000000000000000000000000000

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