Finite Group Databasebeta

← Group #10590507

Character table — Group #10590507

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212128888888841212121212121212121224242424242424242244246612124
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ9222222-2-22222222222-2-2-2-20000000000000-2-200000000000022-2-20000000
χ10222222-2-22222222222-2-2-2-20000000000000-2-2000000000000-2-2220000000
χ1122222-122-12-12-12-1-1-1-12-12-122220000222-1-1-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ1222222-122-12-12-12-1-1-1-12-12-122220000-2-2-211-1-11111-1-1-1-100000000-2011000
χ1322222-122-12-12-12-1-1-1-12-12-1-2-2-2-20000222-1-1-1-1-1-1-1-1111100000000-2011000
χ1422222-122-12-12-12-1-1-1-12-12-1-2-2-2-20000-2-2-211-1-1111111110000000020-1-1000
χ152222-12222-12-12-1-1-1-1-1-12-12000022222-1-122-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ162222-12222-12-12-1-1-1-1-1-12-1200002222-211-2-2-1-111110000-1-1-1-100000-200110
χ172222-12222-12-12-1-1-1-1-1-12-120000-2-2-2-22-1-122-1-1-1-1-1-10000111100000-200110
χ182222-12222-12-12-1-1-1-1-1-12-120000-2-2-2-2-211-2-2-1-111110000111100000200-1-10
χ1922-2-22200-2-2-222-22-2-22000022−2−2−i2−i2i2i20000000000022−2−2−i2−i2i2i2002i−2i0000000
χ2022-2-22200-2-2-222-22-2-22000022−2−2i2i2−i2−i20000000000022−2−2i2i2−i2−i200−2i2i0000000
χ2122-2-22200-2-2-222-22-2-220000−2−222−i2−i2i2i200000000000−2−222−i2−i2i2i200−2i2i0000000
χ2222-2-22200-2-2-222-22-2-220000−2−222i2i2−i2−i200000000000−2−222i2i2−i2−i2002i−2i0000000
χ232-22-222002-2-2-2-2222-2-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i22-2000000000
χ242-22-222002-2-2-2-2222-2-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i2-22000000000
χ252-22-222002-2-2-2-2222-2-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i2-22000000000
χ262-22-222002-2-2-2-2222-2-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i22-2000000000
χ272-2-22222-2-222-2-2-22-22-222-2-22i−2i−2i2i0000000002-200002i−2i−2i2i000000000000000
χ282-2-22222-2-222-2-2-22-22-222-2-2−2i2i2i−2i0000000002-20000−2i2i2i−2i000000000000000
χ292-2-2222-22-222-2-2-22-22-2-2-22200002-2-2200000-22000000002-2-2200000000000
χ302-2-2222-22-222-2-2-22-22-2-2-2220000-222-200000-2200000000-222-200000000000
χ312-2-222-12-212-1-21-2-11-112-1-212i−2i−2i2i00000003−3-1133−3−3−iii−i0000000000−i3i3000
χ322-2-222-12-212-1-21-2-11-112-1-212i−2i−2i2i0000000−33-11−3−333−iii−i0000000000i3−i3000
χ332-2-222-12-212-1-21-2-11-112-1-21−2i2i2i−2i00000003−3-1133−3−3i−i−ii0000000000i3−i3000
χ342-2-222-12-212-1-21-2-11-112-1-21−2i2i2i−2i0000000−33-11−3−333i−i−ii0000000000−i3i3000
χ352-2-22-12-22-2-121-21-11-111-2-1200002-2-2203−3001-13−33−30000-111-1000000003−30
χ362-2-22-12-22-2-121-21-11-111-2-1200002-2-220−33001-1−33−330000-111-100000000−330
χ372-2-22-12-22-2-121-21-11-111-2-120000-222-203−3001-13−33−300001-1-1100000000−330
χ382-2-22-12-22-2-121-21-11-111-2-120000-222-20−33001-1−33−3300001-1-11000000003−30
χ3944444-2-4-4-24-24-24-2-2-2-2-42-4200000000000002200000000000000000000000
χ404444-24-4-44-24-24-2-2-2-2-22-42-400000000000002200000000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-200000000-4222211-1-1-1-10000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-2111122220000000000000-1-13-3-330000000000000000000
χ444444-2-2-4-4-2-2-2-2-2-2111122220000000000000-1-1-333-30000000000000000000
χ4544-4-44-2002-424-2-4-222-200002222−22−22000000000000000−2−222000000000000000
χ4644-4-44-2002-424-2-4-222-20000−22−22222200000000000000022−2−2000000000000000
χ4744-4-4-2400-42-4-242-222-200000000−2i2−2i22i22i2000000000000000i2i2−i2−i200000000000
χ4844-4-4-2400-42-4-242-222-2000000002i22i2−2i2−2i2000000000000000−i2−i2i2i200000000000
χ494-44-44-200-2-42-424-2-2220000−2i22i2−2i22i2000000000000000i2−i2i2−i2000000000000000
χ504-44-44-200-2-42-424-2-22200002i2−2i22i2−2i2000000000000000−i2i2−i2i2000000000000000
χ514-44-4-240042-42-4-2-2-22200000000−2i22i2−2i22i2000000000000000i2−i2i2−i200000000000
χ524-44-4-240042-42-4-2-2-222000000002i2−2i22i2−2i2000000000000000−i2i2−i2i200000000000
χ534-4-444-2-4424-2-42-4-22-22-424-200000000000002-200000000000000000000000
χ544-4-44-244-4-4-242-42-22-22-242-40000000000000-2200000000000000000000000
χ554-4-44-2-24-42-2-22221-11-1-2-2220000000000023−231-1−3−3330000000000000000000
χ564-4-44-2-24-42-2-22221-11-1-2-22200000000000−23231-133−3−30000000000000000000
χ574-4-44-2-2-442-2-22221-11-122-2-200000000023−2300-11−33−330000000000000000000
χ584-4-44-2-2-442-2-22221-11-122-2-2000000000−232300-113−33−30000000000000000000
χ5988-8-8-4-400444-4-442-2-22000000000000000000000000000000000000000000
χ608-88-8-4-400-44444-422-2-2000000000000000000000000000000000000000000

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