Finite Group Databasebeta

← Group #10590579

Character table — Group #10590579

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order122233446666663666121212122244888841212121212121212121266121224242424888844121212124
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111
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
χ9222222-2-22222222222-2-2-2-222-2-2000000000-2-2000022-2-2000000000000000
χ10222222-2-22222222222-2-2-2-2-2-222000000000-2-20000-2-222000000000000000
χ1122222-1222-12-12-1-1-1-1-12-1-12222200002-1-122-1-1-1-1-1-1-1-1-1-1000000000200-1-10
χ1222222-1222-12-12-1-1-1-1-12-1-1222220000-211-2-2-1-11111-1-1-1-1000000000-200110
χ1322222-1222-12-12-1-1-1-1-12-1-12-2-2-2-200002-1-122-1-1-1-1-1-11111000000000-200110
χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-2-20000-211-2-2-1-111111111000000000200-1-10
χ1522222-1-2-22-12-12-1-1-1-1-1-211-222-2-200000−i3i30011−i3−i3i3i3-1-111000000000000−i3i30
χ1622222-1-2-22-12-12-1-1-1-1-1-211-222-2-200000i3−i30011i3i3−i3−i3-1-111000000000000i3−i30
χ1722222-1-2-22-12-12-1-1-1-1-1-211-2-2-22200000−i3i30011−i3−i3i3i311-1-1000000000000i3−i30
χ1822222-1-2-22-12-12-1-1-1-1-1-211-2-2-22200000i3−i30011i3i3−i3−i311-1-1000000000000−i3i30
χ192222-1222-12-12-12-1-1-1-1-122-100002222222-1-1-1-1-1-1-1-10000-1-1-1-1000020-1-1000
χ202222-1222-12-12-12-1-1-1-1-122-100002222-2-2-211-1-111110000-1-1-1-10000-2011000
χ212222-1222-12-12-12-1-1-1-1-122-10000-2-2-2-2222-1-1-1-1-1-1-1-1000011110000-2011000
χ222222-1222-12-12-12-1-1-1-1-122-10000-2-2-2-2-2-2-211-1-1111100001111000020-1-1000
χ2322-2-2220022-2-2-2-222-2-200002-20022−2−2000000000002-20022−2−222−2−20000000
χ2422-2-2220022-2-2-2-222-2-200002-200−2−222000000000002-200−2−222−2−2220000000
χ2522-2-2220022-2-2-2-222-2-20000-220022−2−200000000000-220022−2−2−2−2220000000
χ2622-2-2220022-2-2-2-222-2-20000-2200−2−22200000000000-2200−2−22222−2−20000000
χ272-22-22200-2-2-222-22-2-220000002i−2i2−22−200000000000002i−2i2−22−2−i2i2−i2i20000000
χ282-22-22200-2-2-222-22-2-220000002i−2i−22−2200000000000002i−2i−22−22i2−i2i2−i20000000
χ292-22-22200-2-2-222-22-2-22000000−2i2i2−22−20000000000000−2i2i2−22−2i2−i2i2−i20000000
χ302-22-22200-2-2-222-22-2-22000000−2i2i−22−220000000000000−2i2i−22−22−i2i2−i2i20000000
χ312-2-22222-2-2-22-2-222-22-222-2-200000000000002-20000000000002i−2i−2i2i0000000
χ322-2-22222-2-2-22-2-222-22-222-2-200000000000002-2000000000000−2i2i2i−2i0000000
χ332-2-2222-22-2-22-2-222-22-2-2-22200002-2-2200000-22000000002-2-2200000000000
χ342-2-2222-22-2-22-2-222-22-2-2-2220000-222-200000-2200000000-222-200000000000
χ352-2-22-12-221-2-1-212-11-111-22-100002-2-220003−31-13−33−30000-111-10000003−3000
χ362-2-22-12-221-2-1-212-11-111-22-100002-2-22000−331-1−33−330000-111-1000000−33000
χ372-2-22-12-221-2-1-212-11-111-22-10000-222-20003−31-13−33−300001-1-11000000−33000
χ382-2-22-12-221-2-1-212-11-111-22-10000-222-2000−331-1−33−3300001-1-110000003−3000
χ394444-24-4-4-24-24-24-2-2-2-22-4-4200000000000002200000000000000000000000
χ404444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-200000000-4222211-1-1-1-10000000000000000000
χ424444-2-2-4-4-2-2-2-2-2-211112222000000000−2i32i300-1-1i3i3−i3−i30000000000000000000
χ434444-2-2-4-4-2-2-2-2-2-2111122220000000002i3−2i300-1-1−i3−i3i3i30000000000000000000
χ4444-4-44-2004-2-42-42-2-22200004-400000000000000000-2200000000000000000
χ4544-4-44-2004-2-42-42-2-2220000-44000000000000000002-200000000000000000
χ4644-4-4-2400-242-42-4-2-222000000002222−22−22000000000000000−2−22200000000000
χ4744-4-4-2400-242-42-4-2-22200000000−22−22222200000000000000022−2−200000000000
χ484-44-44-200-42-4-242-222-20000004i−4i00000000000000000−2i2i000000000000000
χ494-44-44-200-42-4-242-222-2000000−4i4i000000000000000002i−2i000000000000000
χ504-44-4-24002-424-2-4-222-20000000022−2222−22000000000000000−22−2200000000000
χ514-44-4-24002-424-2-4-222-200000000−2222−22220000000000000002−22−200000000000
χ524-4-444-24-4-4242-4-2-22-224-22-40000000000000-2200000000000000000000000
χ534-4-444-2-44-4242-4-2-22-22-42-2400000000000002-200000000000000000000000
χ544-4-44-244-42-4-2-424-22-22-24-420000000000000-2200000000000000000000000
χ554-4-44-2-24-422-222-21-11-1-2-22200000000000001-13i−3i−3i3i0000000000000000000
χ564-4-44-2-24-422-222-21-11-1-2-22200000000000001-1−3i3i3i−3i0000000000000000000
χ574-4-44-2-2-4422-222-21-11-122-2-20000000000023−23-11−33−330000000000000000000
χ584-4-44-2-2-4422-222-21-11-122-2-200000000000−2323-113−33−30000000000000000000
χ5988-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000000
χ608-88-8-4-400444-4-442-2-22000000000000000000000000000000000000000000

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