Finite Group Databasebeta

← Group #10591538

Character table — Group #10591538

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222222244444444666666668888888888812121212121212121818181824242424242472
order12223344666666366612121212888888884121212121212121212122424242424242424444444121212124
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
χ1122222-1222-12-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ1222222-1222-12-12-1-1-1-1-12-12-100002222-2-2-211-1-111110000-1-1-1-100000-200110
χ1322222-1222-12-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110
χ1422222-1222-12-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-211-1-111110000111100000200-1-10
χ152222-1222-12-12-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ162222-1222-12-12-12-1-1-1-1-12-1222220000-211-2-2-1-11111-1-1-1-100000000-2011000
χ172222-1222-12-12-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000
χ182222-1222-12-12-12-1-1-1-1-12-12-2-2-2-20000-211-2-2-1-1111111110000000020-1-1000
χ1922-2-2220022-2-2-2-222-2-2000022−2−222−2−20000000000022−2−222−2−22-2000000000
χ2022-2-2220022-2-2-2-222-2-2000022−2−2−2−2220000000000022−2−2−2−222-22000000000
χ2122-2-2220022-2-2-2-222-2-20000−2−22222−2−200000000000−2−22222−2−2-22000000000
χ2222-2-2220022-2-2-2-222-2-20000−2−222−2−22200000000000−2−222−2−2222-2000000000
χ232-22-22200-2-2-2-2222-22-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i2002-20000000
χ242-22-22200-2-2-2-2222-22-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i200-220000000
χ252-22-22200-2-2-2-2222-22-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i200-220000000
χ262-22-22200-2-2-2-2222-22-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i2002-20000000
χ272-2-22222-2-2-222-2-22-2-222-2-222i−2i−2i2i0000000002-200002i−2i−2i2i000000000000000
χ282-2-22222-2-2-222-2-22-2-222-2-22−2i2i2i−2i0000000002-20000−2i2i2i−2i000000000000000
χ292-2-2222-22-2-222-2-22-2-22-222-200002i−2i−2i2i00000-22000000002i−2i−2i2i00000000000
χ302-2-2222-22-2-222-2-22-2-22-222-20000−2i2i2i−2i00000-2200000000−2i2i2i−2i00000000000
χ312-2-222-1-22-212-1-21-111-1-2-12100002i−2i−2i2i000−i3i31-1−i3−i3i3i30000−iii−i000000003−30
χ322-2-222-1-22-212-1-21-111-1-2-12100002i−2i−2i2i000i3−i31-1i3i3−i3−i30000−iii−i00000000−330
χ332-2-222-1-22-212-1-21-111-1-2-1210000−2i2i2i−2i000−i3i31-1−i3−i3i3i30000i−i−ii00000000−330
χ342-2-222-1-22-212-1-21-111-1-2-1210000−2i2i2i−2i000i3−i31-1i3i3−i3−i30000i−i−ii000000003−30
χ352-2-22-122-21-2-121-2-111-1-1-2122i−2i−2i2i00000−i3i300-11−i3i3−i3i3−iii−i00000000003−3000
χ362-2-22-122-21-2-121-2-111-1-1-2122i−2i−2i2i00000i3−i300-11i3−i3i3−i3−iii−i0000000000−33000
χ372-2-22-122-21-2-121-2-111-1-1-212−2i2i2i−2i00000−i3i300-11−i3i3−i3i3i−i−ii0000000000−33000
χ382-2-22-122-21-2-121-2-111-1-1-212−2i2i2i−2i00000i3−i300-11i3−i3i3−i3i−i−ii00000000003−3000
χ3944444-2-4-44-24-24-2-2-2-2-2-42-4200000000000002200000000000000000000000
χ404444-24-4-4-24-24-24-2-2-2-22-42-400000000000002200000000000000000000000
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
χ4544-4-44-2004-2-42-42-2-222000000002222−22−22000000000000000−2−22200000000000
χ4644-4-44-2004-2-42-42-2-22200000000−22−22222200000000000000022−2−200000000000
χ4744-4-4-2400-242-42-4-2-22200002222−22−22000000000000000−2−222000000000000000
χ4844-4-4-2400-242-42-4-2-2220000−22−22222200000000000000022−2−2000000000000000
χ494-44-44-200-42-424-2-22-2200000000−2i22i2−2i22i2000000000000000i2−i2i2−i200000000000
χ504-44-44-200-42-424-2-22-22000000002i2−2i22i2−2i2000000000000000−i2i2−i2i200000000000
χ514-44-4-24002-42-4-24-22-220000−2i22i2−2i22i2000000000000000i2−i2i2−i2000000000000000
χ524-44-4-24002-42-4-24-22-2200002i2−2i22i2−2i2000000000000000−i2i2−i2i2000000000000000
χ534-4-444-24-4-424-2-42-222-242-4-20000000000000-2200000000000000000000000
χ544-4-44-24-442-4-242-4-222-224-2-400000000000002-200000000000000000000000
χ554-4-44-2-24-422-2-2221-1-11-222-2000000000−2i32i3001-1i3−i3i3−i30000000000000000000
χ564-4-44-2-24-422-2-2221-1-11-222-20000000002i3−2i3001-1−i3i3−i3i30000000000000000000
χ574-4-44-2-2-4422-2-2221-1-112-2-2200000000000−2i32i3-11i3i3−i3−i30000000000000000000
χ584-4-44-2-2-4422-2-2221-1-112-2-22000000000002i3−2i3-11−i3−i3i3i30000000000000000000
χ5988-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000000
χ608-88-8-4-4004444-4-42-22-2000000000000000000000000000000000000000000

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