Finite Group Databasebeta

← Group #286189

Character table — Group #286189

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444224444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-111-111-1-1-1-1-1-1
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
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111
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
χ91111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-111-11
χ101111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-11-1
χ111111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1111-1-1111-1
χ121111111111-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1-11
χ131111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-11-1
χ141111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-11
χ151111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-1-11
χ161111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-1111-1
χ1722222222222222-2-22-2-2222-2-2-2-2-200000000000000000000000022-200-200000000
χ1822222222222222-2-22-2-2222-2-2-2-2-2000000000000000000000000-2-2200200000000
χ192222222222-2-2-2-2-2-22-2-22-2-2-2-22220000000000000000000000002-2-200200000000
χ202222222222-2-2-2-2-2-22-2-22-2-2-2-2222000000000000000000000000-22200-200000000
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
χ2922-22-2-22-22-2000022-2-2-22002-20000000000000002i−2i2i−2i22-2-200000000002i−2i000000
χ3022-22-2-22-22-2000022-2-2-22002-20000000000000002i−2i2i−2i-2-2220000000000−2i2i000000
χ3122-22-2-22-22-2000022-2-2-22002-2000000000000000−2i2i−2i2i22-2-20000000000−2i2i000000
χ3222-22-2-22-22-2000022-2-2-22002-2000000000000000−2i2i−2i2i-2-22200000000002i−2i000000
χ3322-22-2-22-2-220000-2-2222-2002-20000000000000002-2-2200002i2i−2i−2i0002i−2i000000000
χ3422-22-2-22-2-220000-2-2222-2002-20000000000000002-2-220000−2i−2i2i2i000−2i2i000000000
χ3522-22-2-22-2-220000-2-2222-2002-2000000000000000-222-200002i2i−2i−2i000−2i2i000000000
χ3622-22-2-22-2-220000-2-2222-2002-2000000000000000-222-20000−2i−2i2i2i0002i−2i000000000
χ372-2-2222-2-2002i2i−2i−2i2-202-2000002i−2i0002i−2i002-200000000i2−i2i2−i22−22−200000000i2−i22−200
χ382-2-2222-2-2002i2i−2i−2i2-202-2000002i−2i0002i−2i002-200000000−i2i2−i2i2−22−2200000000−i2i2−2200
χ392-2-2222-2-2002i2i−2i−2i2-202-2000002i−2i000−2i2i00-2200000000i2−i2i2−i22−22−200000000−i2i2−2200
χ402-2-2222-2-2002i2i−2i−2i2-202-2000002i−2i000−2i2i00-2200000000−i2i2−i2i2−22−2200000000i2−i22−200
χ412-2-2222-2-200−2i−2i2i2i2-202-200000−2i2i0002i−2i00-2200000000i2−i2i2−i2−22−2200000000−i2i22−200
χ422-2-2222-2-200−2i−2i2i2i2-202-200000−2i2i0002i−2i00-2200000000−i2i2−i2i22−22−200000000i2−i2−2200
χ432-2-2222-2-200−2i−2i2i2i2-202-200000−2i2i000−2i2i002-200000000i2−i2i2−i2−22−2200000000i2−i2−2200
χ442-2-2222-2-200−2i−2i2i2i2-202-200000−2i2i000−2i2i002-200000000−i2i2−i2i22−22−200000000−i2i22−200
χ4544-44-4-44-44-40000-4-4-444400-4400000000000000000000000000000000000000000
χ4644-44-4-44-4-440000444-4-4-400-4400000000000000000000000000000000000000000
χ4744-4-44-4-44004i−4i4i−4i000000000000022−22002i2−2i200000000000000000000000000000000
χ4844-4-44-4-44004i−4i4i−4i0000000000000−222200−2i22i200000000000000000000000000000000
χ4944-4-44-4-4400−4i4i−4i4i000000000000022−2200−2i22i200000000000000000000000000000000
χ5044-4-44-4-4400−4i4i−4i4i0000000000000−2222002i2−2i200000000000000000000000000000000
χ514-444-4-4-440000004-40-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-444-4-4-440000004-40-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-444-4-4-44000000-4404-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ544-444-4-4-44000000-4404-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ554-44-44-44-4444-4-4400-400-44-40000000000000000000000000000000000000000000
χ564-44-44-44-444-444-400-400-4-440000000000000000000000000000000000000000000
χ574-44-44-44-4-4-44-4-44004004-440000000000000000000000000000000000000000000
χ584-44-44-44-4-4-4-444-40040044-40000000000000000000000000000000000000000000
χ594-4-4444-4-4004i4i−4i−4i-440-4400000−4i4i000000000000000000000000000000000000000
χ604-4-4444-4-400−4i−4i4i4i-440-44000004i−4i000000000000000000000000000000000000000
χ614-4-4-4-44444-4000000400-40000000000000002i2−2i22i2−2i200000000000000000000000000
χ624-4-4-4-44444-4000000400-4000000000000000−2i22i2−2i22i200000000000000000000000000
χ634-4-4-4-4444-44000000-400400000000000000022−22−222200000000000000000000000000
χ644-4-4-4-4444-44000000-4004000000000000000−222222−2200000000000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

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