Finite Group Databasebeta

← Group #284456

Character table — Group #284456

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-11-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111111-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-1111111-11-1-1-11-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-11-1-1-1-11111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11111-1-111-1-1-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-1111111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-11-111-1-1-1-111-11
χ17222222222-2-2222-2-22222-2-2000000-2-20022000000-2-20000-2000200000000000
χ18222222222-2-2222-2-22222-2-2000000-2-200-2-20000002200002000-200000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-2000000220022000000-2-200002000-200000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000002200-2-2000000220000-2000200000000000
χ2122222222-222-2-2-2220000-2-2222222002200-2-200000000000-2000-20000000000
χ2222222222-222-2-2-2220000-2-22222-2-200-2-200-2-200000000000200020000000000
χ2322222222-222-2-2-2220000-2-2-2-2-2-22200-2-20022000000000002000-20000000000
χ2422222222-222-2-2-2220000-2-2-2-2-2-2-2-20022002200000000000-200020000000000
χ2522-22-2-22-202-20002-20000002i2i−2i−2i2-2002i−2ii2−i2000000i2−i222−2−2000000002−200i2−i200
χ2622-22-2-22-202-20002-20000002i2i−2i−2i2-2002i−2i−i2i2000000−i2i2−2−22200000000−2200−i2i200
χ2722-22-2-22-202-20002-20000002i2i−2i−2i-2200−2i2ii2−i2000000i2−i222−2−200000000−2200−i2i200
χ2822-22-2-22-202-20002-20000002i2i−2i−2i-2200−2i2i−i2i2000000−i2i2−2−222000000002−200i2−i200
χ2922-22-2-22-202-20002-2000000−2i−2i2i2i2-200−2i2ii2−i2000000i2−i2−2−22200000000−2200i2−i200
χ3022-22-2-22-202-20002-2000000−2i−2i2i2i2-200−2i2i−i2i2000000−i2i222−2−2000000002−200−i2i200
χ3122-22-2-22-202-20002-2000000−2i−2i2i2i-22002i−2ii2−i2000000i2−i2−2−222000000002−200−i2i200
χ3222-22-2-22-202-20002-2000000−2i−2i2i2i-22002i−2i−i2i2000000−i2i222−2−200000000−2200i2−i200
χ332-2-2-2222-2222-22-2-2-20000-222i−2i2i−2i000000002i−2i0000000000002-2002i−2i00000000
χ342-2-2-2222-2222-22-2-2-20000-222i−2i2i−2i000000002i−2i000000000000-2200−2i2i00000000
χ352-2-2-2222-2222-22-2-2-20000-22−2i2i−2i2i00000000−2i2i0000000000002-200−2i2i00000000
χ362-2-2-2222-2222-22-2-2-20000-22−2i2i−2i2i00000000−2i2i000000000000-22002i−2i00000000
χ372-2-2-2222-2-2222-22-2-222-2-22-22i−2i2i−2i002-20000−2i2i2i2i−2i−2i0000000000000000000000
χ382-2-2-2222-2-2222-22-2-222-2-22-2−2i2i−2i2i002-200002i−2i−2i−2i2i2i0000000000000000000000
χ392-2-2-2222-2-2222-22-2-2-2-2222-22i−2i2i−2i00-220000−2i2i−2i−2i2i2i0000000000000000000000
χ402-2-2-2222-2-2222-22-2-2-2-2222-2−2i2i−2i2i00-2200002i−2i2i2i−2i−2i0000000000000000000000
χ412-2-2-2222-2-2-2-22-222222-2-2-22000000-220000000000002-22-200000000002-20000
χ422-2-2-2222-2-2-2-22-222222-2-2-22000000-22000000000000-22-220000000000-220000
χ432-2-2-2222-2-2-2-22-2222-2-222-220000002-20000000000002-22-20000000000-220000
χ442-2-2-2222-2-2-2-22-2222-2-222-220000002-2000000000000-22-2200000000002-20000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-4400-4-44004-44-4000000000000000000000000000000000000000000
χ47444-44-4-4-4400-4-4400-44-44000000000000000000000000000000000000000000
χ48444-44-4-4-4-40044-4000000000000000000000022−2222−220000000000000000000000
χ49444-44-4-4-4-40044-40000000000000000000000−2222−22220000000000000000000000
χ5044-44-4-44-40-44000-4400000000000000002i2−2i2000000−2i22i200000000000000000000
χ5144-44-4-44-40-44000-440000000000000000−2i22i20000002i2−2i200000000000000000000
χ524-44-4-4-44404-4000-440000004-4-44000000000000000000000000000000000000
χ534-44-4-4-44404-4000-44000000-444-4000000000000000000000000000000000000
χ544-44-4-4-4440-440004-40000000000000000000000000022−22−22220000000000000000
χ554-44-4-4-4440-440004-400000000000000000000000000−222222−220000000000000000
χ564-4-444-4-444004-4-400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ574-4-444-4-444004-4-40000000000000000000000−2i22i22i2−2i20000000000000000000000
χ584-4-444-4-44-400-444004-4-44000000000000000000000000000000000000000000
χ594-4-444-4-44-400-44400-444-4000000000000000000000000000000000000000000
χ604-4-4-4444-44-4-4-44-44400004-40000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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