Finite Group Databasebeta

← Group #10591628

Character table — Group #10591628

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
χ1122222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ1222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-211-1-111110000-1-1-1-100000-200110
χ1322222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110
χ1422222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-211-1-111110000111100000200-1-10
χ152222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ162222-1222-1-122-12-1-1-1-1-12-1222220000-211-2-2-1-11111-1-1-1-100000000-2011000
χ172222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000
χ182222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-2-1-1111111110000000020-1-1000
χ1922-2-222002-22-2-2-222-2-2000022−2−222−2−20000000000022−2−222−2−2002-20000000
χ2022-2-222002-22-2-2-222-2-2000022−2−2−2−2220000000000022−2−2−2−22200-220000000
χ2122-2-222002-22-2-2-222-2-20000−2−22222−2−200000000000−2−22222−2−200-220000000
χ2222-2-222002-22-2-2-222-2-20000−2−222−2−22200000000000−2−222−2−222002-20000000
χ232-22-22200-22-22-2-22-22-200002−22−22−22−2000000000002−22−22−22−22-2000000000
χ242-22-22200-22-22-2-22-22-200002−22−2−22−22000000000002−22−2−22−22-22000000000
χ252-22-22200-22-22-2-22-22-20000−22−222−22−200000000000−22−222−22−2-22000000000
χ262-22-22200-22-22-2-22-22-20000−22−22−22−2200000000000−22−22−22−222-2000000000
χ272-2-22222-2-2-2-2-2222-2-222-2-2200002-2-22000002-2000000002-2-2200000000000
χ282-2-22222-2-2-2-2-2222-2-222-2-220000-222-2000002-200000000-222-200000000000
χ292-2-2222-22-2-2-2-2222-2-22-222-22-2-22000000000-2200002-2-22000000000000000
χ302-2-2222-22-2-2-2-2222-2-22-222-2-222-2000000000-220000-222-2000000000000000
χ312-2-222-12-2-2-2112-1-111-121-2-100002-2-22000−i3i3-11−i3−i3i3i30000-111-100000000−i3i30
χ322-2-222-12-2-2-2112-1-111-121-2-100002-2-22000i3−i3-11i3i3−i3−i30000-111-100000000i3−i30
χ332-2-222-12-2-2-2112-1-111-121-2-10000-222-2000−i3i3-11−i3−i3i3i300001-1-1100000000i3−i30
χ342-2-222-12-2-2-2112-1-111-121-2-10000-222-2000i3−i3-11i3i3−i3−i300001-1-1100000000−i3i30
χ352-2-22-12-2211-2-2-12-111-112-1-22-2-2200000−i3i3001-1−i3i3−i3i3-111-10000000000−i3i3000
χ362-2-22-12-2211-2-2-12-111-112-1-22-2-2200000i3−i3001-1i3−i3i3−i3-111-10000000000i3−i3000
χ372-2-22-12-2211-2-2-12-111-112-1-2-222-200000−i3i3001-1−i3i3−i3i31-1-110000000000i3−i3000
χ382-2-22-12-2211-2-2-12-111-112-1-2-222-200000i3−i3001-1i3−i3i3−i31-1-110000000000−i3i3000
χ3944444-2-4-444-2-24-2-2-2-2-2-42-4200000000000002200000000000000000000000
χ404444-24-4-4-2-244-24-2-2-2-22-42-400000000000002200000000000000000000000
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
χ4544-4-44-2004-4-22-42-2-222000000002222−22−22000000000000000−2−22200000000000
χ4644-4-44-2004-4-22-42-2-22200000000−22−22222200000000000000022−2−200000000000
χ4744-4-4-2400-224-42-4-2-22200002222−22−22000000000000000−2−222000000000000000
χ4844-4-4-2400-224-42-4-2-2220000−22−22222200000000000000022−2−2000000000000000
χ494-44-44-200-442-2-42-22-220000000022−2222−22000000000000000−22−2200000000000
χ504-44-44-200-442-2-42-22-2200000000−2222−22220000000000000002−22−200000000000
χ514-44-4-24002-2-442-4-22-22000022−2222−22000000000000000−22−22000000000000000
χ524-44-4-24002-2-442-4-22-220000−2222−22220000000000000002−22−2000000000000000
χ534-4-444-2-44-4-4224-2-222-2-4-24200000000000002-200000000000000000000000
χ544-4-44-244-422-4-4-24-222-2-2-4240000000000000-2200000000000000000000000
χ554-4-44-2-24-42222-2-21-1-11-222-200000000000−2i32i31-1i3i3−i3−i30000000000000000000
χ564-4-44-2-24-42222-2-21-1-11-222-2000000000002i3−2i31-1−i3−i3i3i30000000000000000000
χ574-4-44-2-2-442222-2-21-1-112-2-22000000000−2i32i300-11i3−i3i3−i30000000000000000000
χ584-4-44-2-2-442222-2-21-1-112-2-220000000002i3−2i300-11−i3i3−i3i30000000000000000000
χ5988-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000000
χ608-88-8-4-4004-44-4442-22-2000000000000000000000000000000000000000000

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