Finite Group Databasebeta

← Group #295048

Character table — Group #295048

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444888888888888888824444444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111
χ511111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111
χ611111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-11111-1-1
χ711111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ811111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ91111111111111111-1-1-1-111-111-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-11-1
χ101111111111111111-1-1-1-111-111-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-111-11
χ111111111111111111-1-1-1-111-111-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11111-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-1111-1
χ172222222222-2-222-2-22222-2-2-200-222002200000000000000000-20-20000000000
χ182222222222-2-222-2-22222-2-2-200-2-2-200-2-2000000000000000002020000000000
χ192222222222-2-222-2-2-2-2-2-2-2-220022200-2-20000000000000000020-20000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22002-2-2002200000000000000000-2020000000000
χ2122222222-2-222-2-22222-2-2-2-2222-200-2-2000000000000000000-20200000000000
χ2222222222-2-222-2-22222-2-2-2-22-2-2-2002200000000000000000020-200000000000
χ2322222222-2-222-2-222-2-222-2-2-222200-2-200000000000000000020-200000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-220022000000000000000000-20200000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2002000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-200200000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222200-2000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222200-200000000000000000000000000-222-2000000
χ2922-2-222-2-22-2002-2002i−2i2i−2i0000002-2002i−2i00000000i2i2−i2−i222−2−200000000i2−i22−200
χ3022-2-222-2-22-2002-2002i−2i2i−2i0000002-2002i−2i00000000−i2−i2i2i2−2−22200000000−i2i2−2200
χ3122-2-222-2-22-2002-2002i−2i2i−2i000000-2200−2i2i00000000i2i2−i2−i222−2−200000000−i2i2−2200
χ3222-2-222-2-22-2002-2002i−2i2i−2i000000-2200−2i2i00000000−i2−i2i2i2−2−22200000000i2−i22−200
χ3322-2-222-2-22-2002-200−2i2i−2i2i0000002-200−2i2i00000000i2i2−i2−i2−2−22200000000i2−i2−2200
χ3422-2-222-2-22-2002-200−2i2i−2i2i0000002-200−2i2i00000000−i2−i2i2i222−2−200000000−i2i22−200
χ3522-2-222-2-22-2002-200−2i2i−2i2i000000-22002i−2i00000000i2i2−i2−i2−2−22200000000−i2i22−200
χ3622-2-222-2-22-2002-200−2i2i−2i2i000000-22002i−2i00000000−i2−i2i2i222−2−200000000i2−i2−2200
χ372-22-2-22-222-222-22-2-200002-202i−2i0002i−2i002i2i−2i−2i00002-22-2000000000000000000
χ382-22-2-22-222-222-22-2-200002-202i−2i0002i−2i00−2i−2i2i2i0000-22-22000000000000000000
χ392-22-2-22-222-222-22-2-200002-20−2i2i000−2i2i002i2i−2i−2i0000-22-22000000000000000000
χ402-22-2-22-222-222-22-2-200002-20−2i2i000−2i2i00−2i−2i2i2i00002-22-2000000000000000000
χ412-22-2-22-22-22222-2-2-20000-2202i−2i000−2i2i0000002i2i−2i−2i00002-22-200000000000000
χ422-22-2-22-22-22222-2-2-20000-2202i−2i000−2i2i000000−2i−2i2i2i0000-22-2200000000000000
χ432-22-2-22-22-22222-2-2-20000-220−2i2i0002i−2i0000002i2i−2i−2i0000-22-2200000000000000
χ442-22-2-22-22-22222-2-2-20000-220−2i2i0002i−2i000000−2i−2i2i2i00002-22-200000000000000
χ4544-44-4-4-44004-4004-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ4644-44-4-4-44004-4004-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ4744-44-4-4-4400-4400-4400000000000000002i2−2i22i2−2i200000000000000000000000000
χ4844-44-4-4-4400-4400-440000000000000000−2i22i2−2i22i200000000000000000000000000
χ4944-4-444-4-4-4400-44004i−4i−4i4i000000000000000000000000000000000000000000
χ5044-4-444-4-4-4400-4400−4i4i4i−4i000000000000000000000000000000000000000000
χ514-44-4-44-444-4-4-4-44440000-440000000000000000000000000000000000000000
χ524-44-4-44-44-44-4-44-44400004-40000000000000000000000000000000000000000
χ534-4-44-444-44400-4-4000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ544-4-44-444-44400-4-400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ554-4-44-444-4-4-4004400000000000000000000000000000022−22−222200000000000000
χ564-4-44-444-4-4-40044000000000000000000000000000000−222222−2200000000000000
χ574-4-4-44-444004-400-440000000000000000000022−22−22220000000000000000000000
χ584-4-4-44-444004-400-4400000000000000000000−222222−220000000000000000000000
χ594-4-4-44-44400-44004-4000000000000000022−22−222200000000000000000000000000
χ604-4-4-44-44400-44004-40000000000000000−222222−2200000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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