Finite Group Databasebeta

← Group #266426

Character table — Group #266426

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-11-1-111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111111-1-11-1-111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11111-1-1-1-1
χ91111111111111111-1-11-1-1-1-1111-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1
χ101111111111111111-1-11-1-1-1-1111-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111
χ111111111111111111-1-11-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-111
χ121111111111111111-1-11-1-1-1-1111-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1111111-1-1
χ131111111111111111-1-11-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11-1-111111-1-111
χ141111111111111111-1-11-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1111-1-1111-1-111-1-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-11111-1-1
χ161111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1111-1-1-1-1-1-111
χ172222222222-2-222-2-222-222-2-2-200-200222200000000000000000-200-200000000000
χ182222222222-2-222-2-222-222-2-2-200-200-2-2-2-200000000000000000200200000000000
χ192222222222-2-222-2-2-2-2-2-2-222-20020022-2-200000000000000000200-200000000000
χ202222222222-2-222-2-2-2-2-2-2-222-200200-2-22200000000000000000-200200000000000
χ2122222222-2-222-2-22222-2-2-222-222-2-2-2000000000000000000002000000-200000000
χ2222222222-2-222-2-22222-2-2-222-2-2-2-22200000000000000000000-2000000200000000
χ2322222222-2-222-2-222-2-2-222-2-2-2222-2-200000000000000000000-2000000200000000
χ2422222222-2-222-2-222-2-2-222-2-2-2-2-2222000000000000000000002000000-200000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-220020000000000000000000000000002-202-2000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22002000000000000000000000000000-220-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000000-2202-2000000
χ2922-222-2-2-2222-2-2-22-20020000-22-202-2000022-2-2000000000000002-2000000000000
χ3022-222-2-2-2222-2-2-22-20020000-22-202-20000-2-22200000000000000-22000000000000
χ3122-222-2-2-2222-2-2-22-20020000-2-220-22000022-2-200000000000000-22000000000000
χ3222-222-2-2-2222-2-2-22-20020000-2-220-220000-2-222000000000000002-2000000000000
χ3322-222-2-2-2-2-22-2222-200-2000022-20-22000000002i2i−2i−2i0000000000000000002i−2i0000
χ3422-222-2-2-2-2-22-2222-200-2000022-20-2200000000−2i−2i2i2i000000000000000000−2i2i0000
χ3522-222-2-2-2-2-22-2222-200-200002-2202-2000000002i2i−2i−2i000000000000000000−2i2i0000
χ3622-222-2-2-2-2-22-2222-200-200002-2202-200000000−2i−2i2i2i0000000000000000002i−2i0000
χ3722-2-2-22-222-2002-2002i−2i02i−2i000000002-22i−2i2−22−2i2−i2i2−i222−2−2i2i2−i2−i20000000000000000
χ3822-2-2-22-222-2002-2002i−2i02i−2i000000002-22i−2i−22−22−i2i2−i2i2−2−222−i2−i2i2i20000000000000000
χ3922-2-2-22-222-2002-2002i−2i02i−2i00000000-22−2i2i2−22−2i2−i2i2−i2−2−222−i2−i2i2i20000000000000000
χ4022-2-2-22-222-2002-2002i−2i02i−2i00000000-22−2i2i−22−22−i2i2−i2i222−2−2i2i2−i2−i20000000000000000
χ4122-2-2-22-222-2002-200−2i2i0−2i2i000000002-2−2i2i2−22−2−i2i2−i2i222−2−2−i2−i2i2i20000000000000000
χ4222-2-2-22-222-2002-200−2i2i0−2i2i000000002-2−2i2i−22−22i2−i2i2−i2−2−222i2i2−i2−i20000000000000000
χ4322-2-2-22-222-2002-200−2i2i0−2i2i00000000-222i−2i2−22−2−i2i2−i2i2−2−222i2i2−i2−i20000000000000000
χ4422-2-2-22-222-2002-200−2i2i0−2i2i00000000-222i−2i−22−22i2−i2i2−i222−2−2−i2−i2i2i20000000000000000
χ45444-4-4-44-44-400-44000000000000000000022−22−22220000000000000000000000000000
χ46444-4-4-44-44-400-440000000000000000000−222222−220000000000000000000000000000
χ47444-4-4-44-4-44004-40000000000000000000000022−22−2222000000000000000000000000
χ48444-4-4-44-4-44004-400000000000000000000000−222222−22000000000000000000000000
χ4944-444-4-4-444-44-4-4-4400-40000400000000000000000000000000000000000000000
χ5044-444-4-4-4-4-4-4444-440040000-400000000000000000000000000000000000000000
χ5144-4-4-44-44-4400-44004i−4i0−4i4i00000000000000000000000000000000000000000000
χ5244-4-4-44-44-4400-4400−4i4i04i−4i00000000000000000000000000000000000000000000
χ534-444-4-4-44004400-4-4000000000000000000000000022−2222−2200000000000000000000
χ544-444-4-4-44004400-4-40000000000000000000000000−2222−222200000000000000000000
χ554-444-4-4-4400-4-40044000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ564-444-4-4-4400-4-4004400000000000000000000000000000−2i22i2−2i22i20000000000000000
χ574-4-44-444-4004-400-440000000000000000000000000000000000000000000002i2−2i200
χ584-4-44-444-4004-400-44000000000000000000000000000000000000000000000−2i22i200
χ594-4-44-444-400-44004-4000000000000000000000000000000000000000000000002i2−2i2
χ604-4-44-444-400-44004-400000000000000000000000000000000000000000000000−2i22i2
χ614-4-4-44-44400000000000004-40000000000000000002-2-222-2-220000000000000000
χ624-4-4-44-44400000000000004-4000000000000000000-222-2-222-20000000000000000
χ634-4-4-44-4440000000000000-440000000000000000002-2-22-222-20000000000000000
χ644-4-4-44-4440000000000000-44000000000000000000-222-22-2-220000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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