Finite Group Databasebeta

← Group #100362

Character table — Group #100362

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-1111-1-1-1-11-1-1-111-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-11-1
χ1011111111-1-1-1-1111-1-1-1-11-1-1-111-111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111-11
χ1111111111-1-1-1-1111-1-1-1-11-1-1-111-111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111-11
χ1211111111-1-1-1-1111-1-1-1-11-1-1-111-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-11-1
χ1311111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-11-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1-11
χ1411111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-11-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-1111-1
χ1511111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-11-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-1111-1
χ1611111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-11-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-1-11
χ17222222222222-2-2-22222-2-2-2-222-200-200000022-2-222-2-20000000000000000000000
χ18222222222222-2-2-22222-2-2-2-222-200-2000000-2-222-2-2220000000000000000000000
χ1922222222222-2222-2-22-222-2-2-2-2222-2-2-222-2-2000000000000000000000000000000
χ2022222222222-2222-2-22-222-2-2-2-22-2-2-222-2-222000000000000000000000000000000
χ2122222222222-2-2-2-2-2-22-2-2-222-2-2-200200000000000000000000002i−2i2i−2i0000000000
χ2222222222222-2-2-2-2-2-22-2-2-222-2-2-20020000000000000000000000−2i2i−2i2i0000000000
χ2322222222-2-2-2222222-222-222-2-2-222-2-2-2-2-222000000000000000000000000000000
χ2422222222-2-2-2222222-222-222-2-2-2-2-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-22-2-2-222-22-22-2-2-2-2200200000000000000000000002-2-220000000000
χ2622222222-2-2-22-2-2-222-22-22-2-2-2-220020000000000000000000000-222-20000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ2922-2-22-2-22000222-2-2-202-202-20000002i−2i2i−2i000000000022−2−222−2−20000i2−i2i2−i2000000
χ3022-2-22-2-22000222-2-2-202-202-20000002i−2i2i−2i0000000000−2−222−2−2220000−i2i2−i2i2000000
χ3122-2-22-2-22000222-2-2-202-202-2000000−2i2i−2i2i000000000022−2−222−2−20000−i2i2−i2i2000000
χ3222-2-22-2-22000222-2-2-202-202-2000000−2i2i−2i2i0000000000−2−222−2−2220000i2−i2i2−i2000000
χ3322-2-22-2-22000-222-2220-2-20-220000002i−2i−2i2i0000000000i2i2−i2−i2−i2−i2i2i20000−222−2000000
χ3422-2-22-2-22000-222-2220-2-20-220000002i−2i−2i2i0000000000−i2−i2i2i2i2i2−i2−i200002−2−22000000
χ3522-2-22-2-22000-222-2220-2-20-22000000−2i2i2i−2i0000000000i2i2−i2−i2−i2−i2i2i200002−2−22000000
χ3622-2-22-2-22000-222-2220-2-20-22000000−2i2i2i−2i0000000000−i2−i2i2i2i2i2−i2−i20000−222−2000000
χ372-2-2-2222-222-2-20002-2-2200002-20000000000002-2002-2i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i200
χ382-2-2-2222-222-2-20002-2-2200002-20000000000002-2002-2−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i200
χ392-2-2-2222-222-2-20002-2-2200002-2000000000000-2200-22i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i200
χ402-2-2-2222-222-2-20002-2-2200002-2000000000000-2200-22−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i200
χ412-2-2-2222-2-2-222000-222-200002-20000000000002i−2i00−2i2i2−22−2−22−2200000000−i2i2i2−i200
χ422-2-2-2222-2-2-222000-222-200002-20000000000002i−2i00−2i2i−22−222−22−200000000i2−i2−i2i200
χ432-2-2-2222-2-2-222000-222-200002-2000000000000−2i2i002i−2i2−22−2−22−2200000000i2−i2−i2i200
χ442-2-2-2222-2-2-222000-222-200002-2000000000000−2i2i002i−2i−22−222−22−200000000−i2i2i2−i200
χ45444-4-44-4-44-44000000-40000000000000000022−220022−22000000000000000000000000
χ46444-4-44-4-44-44000000-400000000000000000−222200−2222000000000000000000000000
χ47444-4-44-4-4-44-40000004000000000000000002i2−2i200−2i22i2000000000000000000000000
χ48444-4-44-4-4-44-4000000400000000000000000−2i22i2002i2−2i2000000000000000000000000
χ4944-4-44-4-440004-4-44-4-40440-44000000000000000000000000000000000000000000
χ5044-4-44-4-44000-4-4-44440-4404-4000000000000000000000000000000000000000000
χ514-4444-4-4-400040004-40-40000000000000000000000002-2-22-222-200000000000000
χ524-4444-4-4-400040004-40-4000000000000000000000000-222-22-2-2200000000000000
χ534-4444-4-4-4000-4000-44040000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ544-4444-4-4-4000-4000-4404000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ554-44-4-4-44400004-440000-400000000000004i−4i000000000000000000000000000000
χ564-44-4-4-44400004-440000-40000000000000−4i4i000000000000000000000000000000
χ574-44-4-4-4440000-44-4000040000004-40000000000000000000000000000000000000
χ584-44-4-4-4440000-44-400004000000-440000000000000000000000000000000000000
χ594-4-44-44-444-4-404-4-40040440000-4000000000000000000000000000000000000000
χ604-4-44-44-444-4-40-4440040-4-400004000000000000000000000000000000000000000
χ614-4-44-44-44-44404-4-400-404-400004000000000000000000000000000000000000000
χ624-4-44-44-44-4440-44400-40-440000-4000000000000000000000000000000000000000
χ634-4-4-4444-444-44000-44-4-40000-440000000000000000000000000000000000000000
χ644-4-4-4444-4-4-44-40004-4440000-440000000000000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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