Finite Group Databasebeta

← Group #284388

Character table — Group #284388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-11-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-11
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1111111-1-11-1-11-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-111-1-111111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-11111-1-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1111-1-1-1-1-1-1111-1
χ17222222222-2-2222-2-22222-2-200000000-2-222000000-2-200002-200000000000000
χ18222222222-2-2222-2-22222-2-200000000-2-2-2-2000000220000-2200000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2000000002222000000-2-20000-2200000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000000022-2-20000002200002-200000000000000
χ2122222222-222-2-2-2220000-2-2222222220000-2-2000000000000-200-20000000000
χ2222222222-222-2-2-2220000-2-22222-2-2-2-20000-2-200000000000020020000000000
χ2322222222-222-2-2-2220000-2-2-2-2-2-222-2-2000022000000000000-20020000000000
χ2422222222-222-2-2-2220000-2-2-2-2-2-2-2-222000022000000000000200-20000000000
χ252-2-22-22-22222-22-2-2-20000-222i2i−2i−2i000000002i−2i00000000000002i−2i02-200000000
χ262-2-22-22-22222-22-2-2-20000-222i2i−2i−2i000000002i−2i0000000000000−2i2i0-2200000000
χ272-2-22-22-22222-22-2-2-20000-22−2i−2i2i2i00000000−2i2i00000000000002i−2i0-2200000000
χ282-2-22-22-22222-22-2-2-20000-22−2i−2i2i2i00000000−2i2i0000000000000−2i2i02-200000000
χ292-2-22-22-22-2222-22-2-222-2-22-22i2i−2i−2i00002-200−2i2i2i2i−2i−2i0000000000000000000000
χ302-2-22-22-22-2222-22-2-222-2-22-2−2i−2i2i2i00002-2002i−2i−2i−2i2i2i0000000000000000000000
χ312-2-22-22-22-2222-22-2-2-2-2222-22i2i−2i−2i0000-2200−2i2i−2i−2i2i2i0000000000000000000000
χ322-2-22-22-22-2222-22-2-2-2-2222-2−2i−2i2i2i0000-22002i−2i2i2i−2i−2i0000000000000000000000
χ332-2-22-22-22-2-2-22-222222-2-2-2200000000-22000000000022-2-200000000002-20000
χ342-2-22-22-22-2-2-22-222222-2-2-2200000000-220000000000-2-2220000000000-220000
χ352-2-22-22-22-2-2-22-2222-2-222-22000000002-2000000000022-2-20000000000-220000
χ362-2-22-22-22-2-2-22-2222-2-222-22000000002-20000000000-2-22200000000002-20000
χ372-2-2-2222-202-20002-20000002i−2i2i−2i2i−2i2-200i2−i2000000i2−i22−22−200000000i2−i2002−200
χ382-2-2-2222-202-20002-20000002i−2i2i−2i2i−2i2-200−i2i2000000−i2i2−22−2200000000−i2i200−2200
χ392-2-2-2222-202-20002-20000002i−2i2i−2i−2i2i-2200i2−i2000000i2−i22−22−200000000−i2i200−2200
χ402-2-2-2222-202-20002-20000002i−2i2i−2i−2i2i-2200−i2i2000000−i2i2−22−2200000000i2−i2002−200
χ412-2-2-2222-202-20002-2000000−2i2i−2i2i2i−2i-2200i2−i2000000i2−i2−22−2200000000−i2i2002−200
χ422-2-2-2222-202-20002-2000000−2i2i−2i2i2i−2i-2200−i2i2000000−i2i22−22−200000000i2−i200−2200
χ432-2-2-2222-202-20002-2000000−2i2i−2i2i−2i2i2-200i2−i2000000i2−i2−22−2200000000i2−i200−2200
χ442-2-2-2222-202-20002-2000000−2i2i−2i2i−2i2i2-200−i2i2000000−i2i22−22−200000000−i2i2002−200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-44-4-404-4000-440000004-4-44000000000000000000000000000000000000
χ47444-4-44-4-404-4000-44000000-444-4000000000000000000000000000000000000
χ48444-4-44-4-40-440004-40000000000000000000000000022−22−22220000000000000000
χ49444-4-44-4-40-440004-400000000000000000000000000−222222−220000000000000000
χ5044-444-4-4-4400-4-44000000000000000000000022−2222−220000000000000000000000
χ5144-444-4-4-4400-4-440000000000000000000000−2222−22220000000000000000000000
χ5244-444-4-4-4-40044-4004-44-4000000000000000000000000000000000000000000
χ5344-444-4-4-4-40044-400-44-44000000000000000000000000000000000000000000
χ544-444-4-44-44004-4-4004-4-44000000000000000000000000000000000000000000
χ554-444-4-44-44004-4-400-444-4000000000000000000000000000000000000000000
χ564-444-4-44-4-400-44400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ574-444-4-44-4-400-4440000000000000000000000−2i22i22i2−2i20000000000000000000000
χ584-4-44-44-444-4-4-44-44400004-40000000000000000000000000000000000000000
χ594-4-4-4444-40-44000-4400000000000000002i2−2i2000000−2i22i200000000000000000000
χ604-4-4-4444-40-44000-440000000000000000−2i22i20000002i2−2i200000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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