Finite Group Databasebeta

← Group #286241

Character table — Group #286241

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-111-11
χ101111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-11-1
χ111111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1111-1
χ121111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-111-1-1-11
χ131111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-111-1-11-1
χ141111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111-11
χ151111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-111111-1-1-11
χ161111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-11-1-1111-1
χ1722222222222222-2-22-2-2222-2-2-2-2-20000000000000000000000002002-200-2000000
χ1822222222222222-2-22-2-2222-2-2-2-2-2000000000000000000000000-200-22002000000
χ192222222222-2-2-2-2-2-22-2-22-2-2-2-2222000000000000000000000000200-2200-2000000
χ202222222222-2-2-2-2-2-22-2-22-2-2-2-2222000000000000000000000000-2002-2002000000
χ2122222222-2-2222222-222-2-2-2-2-222-222-2-222-2-2000000000000000000000000000000
χ2222222222-2-2222222-222-2-2-2-2-222-2-2-222-2-222000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ2522222222-2-2-2-2-2-222-222-222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-222-222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ2922-2-22-2-22002i2i−2i−2i2-202-2000002i−2i0002-2002i−2i0000000022−2−2i2i2−i2−i200000000i2−i22−200
χ3022-2-22-2-22002i2i−2i−2i2-202-2000002i−2i0002-2002i−2i00000000−2−222−i2−i2i2i200000000−i2i2−2200
χ3122-2-22-2-22002i2i−2i−2i2-202-2000002i−2i000-2200−2i2i0000000022−2−2i2i2−i2−i200000000−i2i2−2200
χ3222-2-22-2-22002i2i−2i−2i2-202-2000002i−2i000-2200−2i2i00000000−2−222−i2−i2i2i200000000i2−i22−200
χ3322-2-22-2-2200−2i−2i2i2i2-202-200000−2i2i0002-200−2i2i0000000022−2−2−i2−i2i2i200000000−i2i22−200
χ3422-2-22-2-2200−2i−2i2i2i2-202-200000−2i2i0002-200−2i2i00000000−2−222i2i2−i2−i200000000i2−i2−2200
χ3522-2-22-2-2200−2i−2i2i2i2-202-200000−2i2i000-22002i−2i0000000022−2−2−i2−i2i2i200000000i2−i2−2200
χ3622-2-22-2-2200−2i−2i2i2i2-202-200000−2i2i000-22002i−2i00000000−2−222i2i2−i2−i200000000−i2i22−200
χ372-222-2-2-222-2000022-2-2-22002-20000000000000002i−2i2i−2i2-22-20000000002i−2i0000000
χ382-222-2-2-222-2000022-2-2-22002-20000000000000002i−2i2i−2i-22-22000000000−2i2i0000000
χ392-222-2-2-222-2000022-2-2-22002-2000000000000000−2i2i−2i2i2-22-2000000000−2i2i0000000
χ402-222-2-2-222-2000022-2-2-22002-2000000000000000−2i2i−2i2i-22-220000000002i−2i0000000
χ412-222-2-2-22-220000-2-2222-2002-20000000000000002-2-2200002i−2i2i−2i02i−2i00000000000
χ422-222-2-2-22-220000-2-2222-2002-20000000000000002-2-220000−2i2i−2i2i0−2i2i00000000000
χ432-222-2-2-22-220000-2-2222-2002-2000000000000000-222-200002i−2i2i−2i0−2i2i00000000000
χ442-222-2-2-22-220000-2-2222-2002-2000000000000000-222-20000−2i2i−2i2i02i−2i00000000000
χ45444-4-44-4-44-4000000400-400000000000000022−2222−2200000000000000000000000000
χ46444-4-44-4-44-4000000400-4000000000000000−2222−222200000000000000000000000000
χ47444-4-44-4-4-44000000-40040000000000000002i2−2i2−2i22i200000000000000000000000000
χ48444-4-44-4-4-44000000-4004000000000000000−2i22i22i2−2i200000000000000000000000000
χ4944-4-44-4-44004i4i−4i−4i-440-4400000−4i4i000000000000000000000000000000000000000
χ5044-4-44-4-4400−4i−4i4i4i-440-44000004i−4i000000000000000000000000000000000000000
χ514-444-4-4-444-40000-4-4-444400-4400000000000000000000000000000000000000000
χ524-444-4-4-44-440000444-4-4-400-4400000000000000000000000000000000000000000
χ534-44-44-44-4444-44-400-400-44-40000000000000000000000000000000000000000000
χ544-44-44-44-444-44-4400-400-4-440000000000000000000000000000000000000000000
χ554-44-44-44-4-4-44-44-4004004-440000000000000000000000000000000000000000000
χ564-44-44-44-4-4-4-44-440040044-40000000000000000000000000000000000000000000
χ574-4-4444-4-4004i−4i−4i4i00000000000002i2−2i20022−2200000000000000000000000000000000
χ584-4-4444-4-4004i−4i−4i4i0000000000000−2i22i200−222200000000000000000000000000000000
χ594-4-4444-4-400−4i4i4i−4i00000000000002i2−2i200−222200000000000000000000000000000000
χ604-4-4444-4-400−4i4i4i−4i0000000000000−2i22i20022−2200000000000000000000000000000000
χ614-4-4-4-44440000004-40-4400000000000000000000000022−22−2222000000000000000000
χ624-4-4-4-44440000004-40-44000000000000000000000000−222222−22000000000000000000
χ634-4-4-4-4444000000-4404-4000000000000000000000000000022−22−222200000000000000
χ644-4-4-4-4444000000-4404-40000000000000000000000000000−222222−2200000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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