Finite Group Databasebeta

← Group #270032

Character table — Group #270032

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ101111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1111
χ17222222222-2-2222-2-20000-2-2222222220000-2-2-2-20000000000000-20000000000000
χ18222222222-2-2222-2-20000-2-22222-2-2-2-2000022-2-2000000000000020000000000000
χ19222222222-2-2222-2-20000-2-2-2-2-2-222-2-2000022220000000000000-20000000000000
χ20222222222-2-2222-2-20000-2-2-2-2-2-2-2-2220000-2-222000000000000020000000000000
χ2122222222-222-2-2-2222222-2-20000000022-2-20000000022-2-20000-200000000000000
χ2222222222-222-2-2-2222222-2-200000000-2-2-2-200000000-2-2220000200000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200000000222200000000-2-2220000-200000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-200000000-2-2220000000022-2-20000200000000000000
χ252-2-22-222-202-20002-222-2-200i2i2−i2−i200002i−2i0000i2−i2i2i2−i2−i22i−2i0022−2−2000000002−200000
χ262-2-22-222-202-20002-222-2-200i2i2−i2−i20000−2i2i0000i2−i2i2i2−i2−i2−2i2i00−2−22200000000−2200000
χ272-2-22-222-202-20002-222-2-200−i2−i2i2i200002i−2i0000−i2i2−i2−i2i2i22i−2i00−2−22200000000−2200000
χ282-2-22-222-202-20002-222-2-200−i2−i2i2i20000−2i2i0000−i2i2−i2−i2i2i2−2i2i0022−2−2000000002−200000
χ292-2-22-222-202-20002-2-2-22200i2i2−i2−i200002i−2i0000i2−i2−i2−i2i2i2−2i2i00−2−222000000002−200000
χ302-2-22-222-202-20002-2-2-22200i2i2−i2−i20000−2i2i0000i2−i2−i2−i2i2i22i−2i0022−2−200000000−2200000
χ312-2-22-222-202-20002-2-2-22200−i2−i2i2i200002i−2i0000−i2i2i2i2−i2−i2−2i2i0022−2−200000000−2200000
χ322-2-22-222-202-20002-2-2-22200−i2−i2i2i20000−2i2i0000−i2i2i2i2−i2−i22i−2i00−2−222000000002−200000
χ332-2-2-22-222222-22-2-2-200002-20000002-200002-2002i−2i2i−2i00000000002i−2i00000000000
χ342-2-2-22-222222-22-2-2-200002-20000002-200002-200−2i2i−2i2i0000000000−2i2i00000000000
χ352-2-2-22-222222-22-2-2-200002-2000000-220000-22002i−2i2i−2i0000000000−2i2i00000000000
χ362-2-2-22-222222-22-2-2-200002-2000000-220000-2200−2i2i−2i2i00000000002i−2i00000000000
χ372-2-2-22-2222-2-2-22-2222-22-2-220000002-2002-2-22000000000000000000002-20000000
χ382-2-2-22-2222-2-2-22-2222-22-2-22000000-22002-22-200000000000000000000-220000000
χ392-2-2-22-2222-2-2-22-222-22-22-220000002-200-22-2200000000000000000000-220000000
χ402-2-2-22-2222-2-2-22-222-22-22-22000000-2200-222-2000000000000000000002-20000000
χ412-2-2-22-222-2-2-22-22222-22-22-20000000000-22000000000000000000002-20000002-20
χ422-2-2-22-222-2-2-22-22222-22-22-20000000000-2200000000000000000000-22000000-220
χ432-2-2-22-222-2-2-22-2222-22-222-200000000002-2000000000000000000002-2000000-220
χ442-2-2-22-222-2-2-22-2222-22-222-200000000002-200000000000000000000-220000002-20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-404-4000-44000000000000000000000022−22−222200000000000000000000000
χ47444-4-4-44-404-4000-440000000000000000000000−222222−2200000000000000000000000
χ48444-4-4-44-40-440004-44-4-44000000000000000000000000000000000000000000000
χ49444-4-4-44-40-440004-4-444-4000000000000000000000000000000000000000000000
χ5044-444-4-4-4400-4-440000000000000000000000000000000022−2222−22000000000000000
χ5144-444-4-4-4400-4-4400000000000000000000000000000000−2222−2222000000000000000
χ5244-444-4-4-4-40044-4000000004-44-4000000000000000000000000000000000000000
χ5344-444-4-4-4-40044-400000000-44-44000000000000000000000000000000000000000
χ544-444-4-4-44000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ554-444-4-4-44000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ564-444-4-4-4400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ574-444-4-4-4400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ584-44-444-4-44004-4-4000000000000000000000000000000000000000000000022−22000
χ594-44-444-4-44004-4-40000000000000000000000000000000000000000000000−2222000
χ604-44-444-4-4-400-4440000000000004i−4i0000000000000000000000000000000000000
χ614-44-444-4-4-400-444000000000000−4i4i0000000000000000000000000000000000000
χ624-4-44-444-40-44000-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ634-4-44-444-40-44000-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ644-4-4-44-444-4444-44-4-40000-440000000000000000000000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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