Finite Group Databasebeta

← Group #287055

Character table — Group #287055

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-11111-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1
χ10111111111111111111-1-1-1-1-1-11111-1111111-1-11111-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111111-1-1-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1111-1
χ17222222222-222-2-22-2-2-222-2-2-2-2222220000-2-22200000000-2-2000000000000000000
χ18222222222-222-2-22-2-2-222-2-2-2-2-2-2-2-22000022-2-20000000022000000000000000000
χ19222222222-222-2-22-2-2-2-2-222222222-20000-2-2-2-20000000022000000000000000000
χ20222222222-222-2-22-2-2-2-2-22222-2-2-2-2-20000222200000000-2-2000000000000000000
χ2122222222-22-2-222-22-2-222-2-2220000-222-2-2000000000000000000200-20000000000
χ2222222222-22-2-222-22-2-222-2-2220000-2-2-222000000000000000000-20020000000000
χ2322222222-22-2-222-22-2-2-2-222-2-20000222-2-2000000000000000000-20020000000000
χ2422222222-22-2-222-22-2-2-2-222-2-200002-2-222000000000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-2000000002i2i−2i−2i0000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-200000000−2i−2i2i2i000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000002i2i−2i−2i000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2220000200000000−2i−2i2i2i0000000000000000002i−2i0000
χ2922-2-22-22-22-22-22-2-222-200000000000000000002-22-22i2i−2i−2i00000000002i−2i00000000
χ3022-2-22-22-22-22-22-2-222-200000000000000000002-22-2−2i−2i2i2i0000000000−2i2i00000000
χ3122-2-22-22-22-22-22-2-222-20000000000000000000-22-222i2i−2i−2i0000000000−2i2i00000000
χ3222-2-22-22-22-22-22-2-222-20000000000000000000-22-22−2i−2i2i2i00000000002i−2i00000000
χ3322-2-22-22-2-22-22-222-22-200000000000000000002i−2i−2i2i0000002i2i−2i−2i02-200000000000
χ3422-2-22-22-2-22-22-222-22-200000000000000000002i−2i−2i2i000000−2i−2i2i2i0-2200000000000
χ3522-2-22-22-2-22-22-222-22-20000000000000000000−2i2i2i−2i0000002i2i−2i−2i0-2200000000000
χ3622-2-22-22-2-22-22-222-22-20000000000000000000−2i2i2i−2i000000−2i−2i2i2i02-200000000000
χ372-2-2-222-2220-2200-2000002-22-22i2i−2i−2i0000000000000i2−i2i2−i22i−2ii2−i2i2−i20000002−2002−200
χ382-2-2-222-2220-2200-2000002-22-22i2i−2i−2i0000000000000−i2i2−i2i22i−2i−i2i2−i2i2000000−2200−2200
χ392-2-2-222-2220-2200-2000002-22-2−2i−2i2i2i0000000000000i2−i2i2−i2−2i2ii2−i2i2−i2000000−2200−2200
χ402-2-2-222-2220-2200-2000002-22-2−2i−2i2i2i0000000000000−i2i2−i2i2−2i2i−i2i2−i2i20000002−2002−200
χ412-2-2-222-2220-2200-200000-22-222i2i−2i−2i0000000000000i2−i2i2−i2−2i2i−i2i2−i2i2000000−22002−200
χ422-2-2-222-2220-2200-200000-22-222i2i−2i−2i0000000000000−i2i2−i2i2−2i2ii2−i2i2−i20000002−200−2200
χ432-2-2-222-2220-2200-200000-22-22−2i−2i2i2i0000000000000i2−i2i2−i22i−2i−i2i2−i2i20000002−200−2200
χ442-2-2-222-2220-2200-200000-22-22−2i−2i2i2i0000000000000−i2i2−i2i22i−2ii2−i2i2−i2000000−22002−200
χ45444-4-44-4-400000000004-4000022−2222−22000000022−220000000000000000000000000000
χ46444-4-44-4-400000000004-40000−2222−22220000000−22220000000000000000000000000000
χ47444-4-44-4-40000000000-44000022−2222−220000000−22220000000000000000000000000000
χ48444-4-44-4-40000000000-440000−2222−2222000000022−220000000000000000000000000000
χ4944-4-44-44-4444-4-44-4-4-4400000000000000000000000000000000000000000000000
χ5044-4-44-44-4-4-4-444-444-4400000000000000000000000000000000000000000000000
χ514-4444-4-4-440-4-40040000000000000000000000000022−22−222200000000000000000000
χ524-4444-4-4-440-4-400400000000000000000000000000−222222−2200000000000000000000
χ534-4444-4-4-4-404400-40000000000000000000000000000000022−22−222200000000000000
χ544-4444-4-4-4-404400-400000000000000000000000000000000−222222−2200000000000000
χ554-44-4-4-44404004-40-400000000000004i−4i0000000000000000000000000000000000
χ564-44-4-4-44404004-40-40000000000000−4i4i0000000000000000000000000000000000
χ574-44-4-4-4440-400-44040000000000000004-400000000000000000000000000000000
χ584-44-4-4-4440-400-4404000000000000000-4400000000000000000000000000000000
χ594-4-44-444-40400-4-404000000002i2−2i2−2i22i2000002i2−2i2000000000000000000000000000000
χ604-4-44-444-40400-4-40400000000−2i22i22i2−2i200000−2i22i2000000000000000000000000000000
χ614-4-44-444-40-400440-4000000002i2−2i2−2i22i200000−2i22i2000000000000000000000000000000
χ624-4-44-444-40-400440-400000000−2i22i22i2−2i2000002i2−2i2000000000000000000000000000000
χ634-4-4-444-44-404-4004000004-4-4400000000000000000000000000000000000000000
χ644-4-4-444-44-404-400400000-444-400000000000000000000000000000000000000000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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