Finite Group Databasebeta

← Group #286397

Character table — Group #286397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488882444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-111
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
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111-1-11111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1
χ101111111111111111-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-111-11
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11-1
χ17222222222-2-222-2-2222-2-2-2-2220000-222-2-2000000000000000000200-20000000000
χ18222222222-2-222-2-2222-2-2-2-2220000-2-2-222000000000000000000-20020000000000
χ19222222222-2-222-2-22-2-222-2-2-2-20000222-2-2000000000000000000-20020000000000
χ20222222222-2-222-2-22-2-222-2-2-2-200002-2-222000000000000000000200-20000000000
χ2122222222-222-2-222-222-2-2-2-2-2-2222220000-2-2000022-2-20000000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-2-2-2-2-220000220000-2-2220000000000000000000000
χ2322222222-222-2-222-2-2-222-2-2222222-20000-2-20000-2-2220000000000000000000000
χ2422222222-222-2-222-2-2-222-2-222-2-2-2-2-2000022000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-2000000000000002i2i−2i−2i0000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-200000000000000−2i−2i2i2i000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222200002000000000000002i2i−2i−2i000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222220000200000000000000−2i−2i2i2i0000000000002i−2i0000
χ292-222-2-2-2202-2002-20002i−2i002i−2i2i2i−2i−2i0000000i2i2−i2−i2002-2000022−2−20000002−200i2−i200
χ302-222-2-2-2202-2002-20002i−2i002i−2i2i2i−2i−2i0000000−i2−i2i2i2002-20000−2−222000000−2200−i2i200
χ312-222-2-2-2202-2002-20002i−2i002i−2i−2i−2i2i2i0000000i2i2−i2−i200-22000022−2−2000000−2200−i2i200
χ322-222-2-2-2202-2002-20002i−2i002i−2i−2i−2i2i2i0000000−i2−i2i2i200-220000−2−2220000002−200i2−i200
χ332-222-2-2-2202-2002-2000−2i2i00−2i2i2i2i−2i−2i0000000i2i2−i2−i200-220000−2−2220000002−200−i2i200
χ342-222-2-2-2202-2002-2000−2i2i00−2i2i2i2i−2i−2i0000000−i2−i2i2i200-22000022−2−2000000−2200i2−i200
χ352-222-2-2-2202-2002-2000−2i2i00−2i2i−2i−2i2i2i0000000i2i2−i2−i2002-20000−2−222000000−2200i2−i200
χ362-222-2-2-2202-2002-2000−2i2i00−2i2i−2i−2i2i2i0000000−i2−i2i2i2002-2000022−2−20000002−200−i2i200
χ372-22-22-22-22-2-22-222-200002-200000000000002i−2i2i−2i00002-22-2000000002i−2i00000000
χ382-22-22-22-22-2-22-222-200002-200000000000002i−2i2i−2i0000-22-2200000000−2i2i00000000
χ392-22-22-22-22-2-22-222-200002-20000000000000−2i2i−2i2i00002-22-200000000−2i2i00000000
χ402-22-22-22-22-2-22-222-200002-20000000000000−2i2i−2i2i0000-22-22000000002i−2i00000000
χ412-22-22-22-2-222-22-2-2200002-20000000000000000000002i−2i−2i2i2-22-202i−2i00000000000
χ422-22-22-22-2-222-22-2-2200002-20000000000000000000002i−2i−2i2i-22-220−2i2i00000000000
χ432-22-22-22-2-222-22-2-2200002-2000000000000000000000−2i2i2i−2i2-22-20−2i2i00000000000
χ442-22-22-22-2-222-22-2-2200002-2000000000000000000000−2i2i2i−2i-22-2202i−2i00000000000
χ45444-4-44-4-404-400-440000000000000000000000000000000022−22−222200000000000000
χ46444-4-44-4-404-400-4400000000000000000000000000000000−222222−2200000000000000
χ47444-4-44-4-40-44004-40000000000000000000022−22−222200000000000000000000000000
χ48444-4-44-4-40-44004-400000000000000000000−222222−2200000000000000000000000000
χ4944-444-4-4-4400-4-40040000000022−2222−220000022−22000000000000000000000000000000
χ5044-444-4-4-4400-4-400400000000−2222−222200000−2222000000000000000000000000000000
χ5144-444-4-4-4-4004400-40000000022−2222−2200000−2222000000000000000000000000000000
χ5244-444-4-4-4-4004400-400000000−2222−22220000022−22000000000000000000000000000000
χ534-444-4-4-440-4400-440004i−4i00−4i4i00000000000000000000000000000000000000000
χ544-444-4-4-440-4400-44000−4i4i004i−4i00000000000000000000000000000000000000000
χ554-44-44-44-44444-4-4-4-40000-440000000000000000000000000000000000000000000
χ564-44-44-44-4-4-4-4-444440000-440000000000000000000000000000000000000000000
χ574-4-44-444-4000000004i−4i0000002i2−2i2−2i22i20000000000022−22000000000000000000000000
χ584-4-44-444-4000000004i−4i000000−2i22i22i2−2i200000000000−2222000000000000000000000000
χ594-4-44-444-400000000−4i4i0000002i2−2i2−2i22i200000000000−2222000000000000000000000000
χ604-4-44-444-400000000−4i4i000000−2i22i22i2−2i20000000000022−22000000000000000000000000
χ614-4-4-444-44400-4400-400000000000004i−4i0000000000000000000000000000000000
χ624-4-4-444-44400-4400-40000000000000−4i4i0000000000000000000000000000000000
χ634-4-4-444-44-4004-40040000000000000004-400000000000000000000000000000000
χ644-4-4-444-44-4004-4004000000000000000-4400000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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