Finite Group Databasebeta

← Group #285948

Character table — Group #285948

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-11111-1-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-111111111-111-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-1-11
χ101111111111111111-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1111-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111111-1-11-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-11111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111-1-11-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-111111-1-1-1-1-11
χ172222222222-2-2-22-2222-2-222-2-2000022-2-2-200000000000000000020000-200000000
χ182222222222-2-2-22-2222-2-222-2-20000-2-2-222000000000000000000-20000200000000
χ192222222222-2-2-22-22-2-222-2-2-2-20000222-2-2000000000000000000-20000200000000
χ202222222222-2-2-22-22-2-222-2-2-2-20000-2-222200000000000000000020000-200000000
χ2122222222-2-2222-22-22222-2-2-2-2222200-20022-2-2-2-200000000000000000000000000
χ2222222222-2-2222-22-22222-2-2-2-2-2-2-2-200-200-2-2222200000000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-222-2-2222200200-2-222-2-200000000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-222-2-2-2-2-2-20020022-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2220000002000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222000000200000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000−2i−2i2i2i00000000000000002i−2i0000
χ2922-222-2-2-2002-2-20202-22-200002i2i−2i−2i000002i−2i0000000022−2−222−2−2000000i2−i200i2−i200
χ3022-222-2-2-2002-2-20202-22-200002i2i−2i−2i000002i−2i00000000−2−222−2−222000000−i2i200−i2i200
χ3122-222-2-2-2002-2-20202-22-20000−2i−2i2i2i00000−2i2i0000000022−2−222−2−2000000−i2i200−i2i200
χ3222-222-2-2-2002-2-20202-22-20000−2i−2i2i2i00000−2i2i00000000−2−222−2−222000000i2−i200i2−i200
χ3322-222-2-2-2002-2-2020-22-2200002i2i−2i−2i00000−2i2i0000000022−2−2−2−222000000i2−i200−i2i200
χ3422-222-2-2-2002-2-2020-22-2200002i2i−2i−2i00000−2i2i00000000−2−22222−2−2000000−i2i200i2−i200
χ3522-222-2-2-2002-2-2020-22-220000−2i−2i2i2i000002i−2i0000000022−2−2−2−222000000−i2i200i2−i200
χ3622-222-2-2-2002-2-2020-22-220000−2i−2i2i2i000002i−2i00000000−2−22222−2−2000000i2−i200−i2i200
χ3722-2-2-22-222-222-2-2-220000002-20000000000000002i−2i2i−2i2-22-2000002i−2i00000000000
χ3822-2-2-22-222-222-2-2-220000002-20000000000000002i−2i2i−2i-22-2200000−2i2i00000000000
χ3922-2-2-22-222-222-2-2-220000002-2000000000000000−2i2i−2i2i2-22-200000−2i2i00000000000
χ4022-2-2-22-222-222-2-2-220000002-2000000000000000−2i2i−2i2i-22-22000002i−2i00000000000
χ4122-2-2-22-22-22-2-2222-20000002-20000000000000002-2-2200002i−2i2i−2i0002i−2i000000000
χ4222-2-2-22-22-22-2-2222-20000002-20000000000000002-2-220000−2i2i−2i2i000−2i2i000000000
χ4322-2-2-22-22-22-2-2222-20000002-2000000000000000-222-200002i−2i2i−2i000−2i2i000000000
χ4422-2-2-22-22-22-2-2222-20000002-2000000000000000-222-20000−2i2i−2i2i0002i−2i000000000
χ45444-4-4-44-4004-440-4000000000000000000000000000022−22−2222000000000000000000
χ46444-4-4-44-4004-440-40000000000000000000000000000−222222−22000000000000000000
χ47444-4-4-44-400-44-404000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ48444-4-4-44-400-44-40400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ4944-444-4-4-400-4440-404-4-44000000000000000000000000000000000000000000000
χ5044-444-4-4-400-4440-40-444-4000000000000000000000000000000000000000000000
χ5144-4-4-44-444-4-4-44-444000000-4400000000000000000000000000000000000000000
χ5244-4-4-44-44-4444-44-4-4000000-4400000000000000000000000000000000000000000
χ534-444-44-4-44-400040-40000000000004-400000000000000000000000000000000000
χ544-444-44-4-44-400040-4000000000000-4400000000000000000000000000000000000
χ554-444-44-4-4-44000-4040000000000000004i−4i00000000000000000000000000000000
χ564-444-44-4-4-44000-404000000000000000−4i4i00000000000000000000000000000000
χ574-44-44-4-440000000000004i−4i002i2−2i22i2−2i2000000022−220000000000000000000000000000
χ584-44-44-4-440000000000004i−4i00−2i22i2−2i22i20000000−22220000000000000000000000000000
χ594-44-44-4-44000000000000−4i4i002i2−2i22i2−2i20000000−22220000000000000000000000000000
χ604-44-44-4-44000000000000−4i4i00−2i22i2−2i22i2000000022−220000000000000000000000000000
χ614-4-4-4444-444000-40-40000000022−22−222200000000022−2200000000000000000000000000
χ624-4-4-4444-444000-40-400000000−222222−22000000000−222200000000000000000000000000
χ634-4-4-4444-4-4-40004040000000022−22−2222000000000−222200000000000000000000000000
χ644-4-4-4444-4-4-400040400000000−222222−2200000000022−2200000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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