Finite Group Databasebeta

← Group #10590375

Character table — Group #10590375

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order1222334444446666663666121212121212121212121212121212121212121212121212888888882244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ6111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ7111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ8111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ922222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ10222222-2-222-2-22222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1122222-122222222-1-1-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
χ1222222-122222222-1-1-12-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20011110000
χ1322222-122-2-2-2-222-1-1-12-1-1-1-11122-1-1-2-211-2-21111-1-1-1-11111000000000000−i3i3−i3i30000
χ1422222-122-2-2-2-222-1-1-12-1-1-1-11122-1-1-2-211-2-21111-1-1-1-11111000000000000i3−i3i3−i30000
χ1522222-1-2-222-2-222-1-1-12-1-1-1-111-2-21122-1-1-2-211111111-1-1-1-1000000000000−i3i3i3−i30000
χ1622222-1-2-222-2-222-1-1-12-1-1-1-111-2-21122-1-1-2-211111111-1-1-1-1000000000000i3−i3−i3i30000
χ1722222-1-2-2-2-22222-1-1-12-1-1-1-1-1-1-2-211-2-21122-1-1-1-111111111000000002-200-1-1110000
χ1822222-1-2-2-2-22222-1-1-12-1-1-1-1-1-1-2-211-2-21122-1-1-1-11111111100000000-220011-1-10000
χ192222-12222222-1-1222-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1
χ202222-12222222-1-1222-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111
χ212222-1222-2-2-2-2-1-1222-1-1-1-1-1-2-2-1-12211-2-2111111-1-1-1-111110000000000000000−i3i3−i3i3
χ222222-1222-2-2-2-2-1-1222-1-1-1-1-1-2-2-1-12211-2-2111111-1-1-1-111110000000000000000i3−i3i3−i3
χ232222-12-2-222-2-2-1-1222-1-1-1-1-1-2-211-2-2-1-1221111111111-1-1-1-10000000000000000−i3i3i3−i3
χ242222-12-2-222-2-2-1-1222-1-1-1-1-1-2-211-2-2-1-1221111111111-1-1-1-10000000000000000i3−i3−i3i3
χ252222-12-2-2-2-222-1-1222-1-1-1-1-12211-2-211-2-2-1-1-1-1-1-11111111100000000002-20000-1-111
χ262222-12-2-2-2-222-1-1222-1-1-1-1-12211-2-211-2-2-1-1-1-1-1-1111111110000000000-22000011-1-1
χ2722-2-222002-2002-22-2-2-222-2-20000002-22-2000000000022-2-2−i2−i2i2i2−i2−i2i2i2000000000000
χ2822-2-222002-2002-22-2-2-222-2-20000002-22-2000000000022-2-2i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-2-22200-22002-22-2-2-222-2-2000000-22-220000000000-2-222−i2−i2i2i2i2i2−i2−i2000000000000
χ3022-2-22200-22002-22-2-2-222-2-2000000-22-220000000000-2-222i2i2−i2−i2−i2−i2i2i2000000000000
χ312-22-2222-20000-22-22-2-22-22-2002-22-2000000000022-2-20000−i2i2−i2i2−i2i2−i2i2000000000000
χ322-22-2222-20000-22-22-2-22-22-2002-22-2000000000022-2-20000i2−i2i2−i2i2−i2i2−i2000000000000
χ332-22-222-220000-22-22-2-22-22-200-22-220000000000-2-2220000−i2i2−i2i2i2−i2i2−i2000000000000
χ342-22-222-220000-22-22-2-22-22-200-22-220000000000-2-2220000i2−i2i2−i2−i2i2−i2i2000000000000
χ352-2-222200002-2-2-2-2-2222-2-222-2000000002-222-2-20000000000002-2-22000000000000
χ362-2-222200002-2-2-2-2-2222-2-222-2000000002-222-2-2000000000000-222-2000000000000
χ372-2-22220000-22-2-2-2-2222-2-22-2200000000-22-2-222000000002-2-220000000000000000
χ382-2-22220000-22-2-2-2-2222-2-22-2200000000-22-2-22200000000-222-20000000000000000
χ394444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000
χ404444-2-244-4-4-4-4-2-2-2-2-2-2111122-2-2-2-2222222-1-1-1-11111-1-1-1-100000000000000000000
χ414444-2-2-4-444-4-4-2-2-2-2-2-21111222222-2-2-2-222-1-1-1-1-1-1-1-1111100000000000000000000
χ424444-2-2-4-4-4-444-2-2-2-2-2-21111-2-222222222-2-21111-1-1-1-1-1-1-1-100000000000000000000
χ4344-4-44-2004-4004-4-222-4-2-2220000004-4-220000000000-2-22200000000000000000000
χ4444-4-44-200-44004-4-222-4-2-222000000-442-2000000000022-2-200000000000000000000
χ4544-4-4-24004-400-224-4-42-2-222000000-224-40000000000-2-22200000000000000000000
χ4644-4-4-2400-4400-224-4-42-2-2220000002-2-44000000000022-2-200000000000000000000
χ4744-4-4-2-2004-400-22-222211-1-1000000-22-22003i−3i3i−3i3i−3i3i−3i11-1-100000000000000000000
χ4844-4-4-2-2004-400-22-222211-1-1000000-22-2200−3i3i−3i3i−3i3i−3i3i11-1-100000000000000000000
χ4944-4-4-2-200-4400-22-222211-1-10000002-22-2003i−3i3i−3i−3i3i−3i3i-1-11100000000000000000000
χ5044-4-4-2-200-4400-22-222211-1-10000002-22-200−3i3i−3i3i3i−3i3i−3i-1-11100000000000000000000
χ514-44-44-24-40000-442-22-4-22-22004-4-220000000000-2-222000000000000000000000000
χ524-44-44-2-440000-442-22-4-22-2200-442-2000000000022-2-2000000000000000000000000
χ534-44-4-244-400002-2-44-42-22-2200-224-40000000000-2-222000000000000000000000000
χ544-44-4-24-4400002-2-44-42-22-22002-2-44000000000022-2-2000000000000000000000000
χ554-44-4-2-24-400002-22-2221-11-100-22-220000003i−3i−3i3i11-1-13i−3i3i−3i00000000000000000000
χ564-44-4-2-24-400002-22-2221-11-100-22-22000000−3i3i3i−3i11-1-1−3i3i−3i3i00000000000000000000
χ574-44-4-2-2-4400002-22-2221-11-1002-22-20000003i−3i−3i3i-1-111−3i3i−3i3i00000000000000000000
χ584-44-4-2-2-4400002-22-2221-11-1002-22-2000000−3i3i3i−3i-1-1113i−3i3i−3i00000000000000000000
χ594-4-444-200004-4-4-422-24-222-2-22000000004-4-2-2220000000000000000000000000000
χ604-4-444-20000-44-4-422-24-222-22-200000000-4422-2-20000000000000000000000000000
χ614-4-44-2400004-422-4-44-2-222-24-400000000-22-2-2220000000000000000000000000000
χ624-4-44-240000-4422-4-44-2-222-2-44000000002-222-2-20000000000000000000000000000
χ634-4-44-2-200004-42222-2-21-1-11-2200000000-2211-1-13i−3i−3i3i−3i3i3i−3i00000000000000000000
χ644-4-44-2-200004-42222-2-21-1-11-2200000000-2211-1-1−3i3i3i−3i3i−3i−3i3i00000000000000000000
χ654-4-44-2-20000-442222-2-21-1-112-2000000002-2-1-1113i−3i−3i3i3i−3i−3i3i00000000000000000000
χ664-4-44-2-20000-442222-2-21-1-112-2000000002-2-1-111−3i3i3i−3i−3i3i3i−3i00000000000000000000

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