Finite Group Databasebeta

← Group #280208

Character table — Group #280208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
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
χ101111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-11-1-11111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11111-1-11111-1-1-1
χ17222222222-2-22-2-2222222-2-20000000022-2-20000220000-2-200000-20000000000000
χ18222222222-2-22-2-2222222-2-200000000-2-2-2-20000-2-20000220000020000000000000
χ19222222222-2-22-2-222-2-2-2-2-2-20000000022220000-2-200002200000-20000000000000
χ20222222222-2-22-2-222-2-2-2-2-2-200000000-2-2220000220000-2-20000020000000000000
χ2122222222-222-222-2-20000-2-2222222-2-20000-2-2-2-2000000000000200000000000000
χ2222222222-222-222-2-20000-2-22222-2-222000022-2-2000000000000-200000000000000
χ2322222222-222-222-2-20000-2-2-2-2-2-222-2-200002222000000000000-200000000000000
χ2422222222-222-222-2-20000-2-2-2-2-2-2-2-2220000-2-222000000000000200000000000000
χ2522-2-2-222-2-2002002-22i2i−2i−2i00i2i2−i2−i200002i−2i0000i2−i22-222−2−200i2i2−i2−i2000000002−200000
χ2622-2-2-222-2-2002002-22i2i−2i−2i00i2i2−i2−i20000−2i2i0000i2−i2-2222−2−200−i2−i2i2i200000000−2200000
χ2722-2-2-222-2-2002002-22i2i−2i−2i00−i2−i2i2i200002i−2i0000−i2i22-2−2−22200−i2−i2i2i200000000−2200000
χ2822-2-2-222-2-2002002-22i2i−2i−2i00−i2−i2i2i20000−2i2i0000−i2i2-22−2−22200i2i2−i2−i2000000002−200000
χ2922-2-2-222-2-2002002-2−2i−2i2i2i00i2i2−i2−i200002i−2i0000i2−i2-22−2−22200−i2−i2i2i2000000002−200000
χ3022-2-2-222-2-2002002-2−2i−2i2i2i00i2i2−i2−i20000−2i2i0000i2−i22-2−2−22200i2i2−i2−i200000000−2200000
χ3122-2-2-222-2-2002002-2−2i−2i2i2i00−i2−i2i2i200002i−2i0000−i2i2-2222−2−200i2i2−i2−i200000000−2200000
χ3222-2-2-222-2-2002002-2−2i−2i2i2i00−i2−i2i2i20000−2i2i0000−i2i22-222−2−200−i2−i2i2i2000000002−200000
χ332-2-222-22-2222-2-2-22-22i−2i2i−2i-2200002-22-2002i−2i0000000000000000002i−2i00000000000
χ342-2-222-22-2222-2-2-22-22i−2i2i−2i-220000-22-22002i−2i000000000000000000−2i2i00000000000
χ352-2-222-22-2222-2-2-22-2−2i2i−2i2i-2200002-22-200−2i2i000000000000000000−2i2i00000000000
χ362-2-222-22-2222-2-2-22-2−2i2i−2i2i-220000-22-2200−2i2i0000000000000000002i−2i00000000000
χ372-2-222-22-22-2-2-2222-22i−2i2i−2i2-20000000000−2i2i000000000000000000002-20000002i−2i0
χ382-2-222-22-22-2-2-2222-22i−2i2i−2i2-20000000000−2i2i00000000000000000000-22000000−2i2i0
χ392-2-222-22-22-2-2-2222-2−2i2i−2i2i2-200000000002i−2i000000000000000000002-2000000−2i2i0
χ402-2-222-22-22-2-2-2222-2−2i2i−2i2i2-200000000002i−2i00000000000000000000-220000002i−2i0
χ412-2-222-22-2-2222-2-2-2200002-200002-2-2200000000002i−2i2i−2i0000000000002i−2i0000000
χ422-2-222-22-2-2222-2-2-2200002-200002-2-220000000000−2i2i−2i2i000000000000−2i2i0000000
χ432-2-222-22-2-2222-2-2-2200002-20000-222-200000000002i−2i2i−2i000000000000−2i2i0000000
χ442-2-222-22-2-2222-2-2-2200002-20000-222-20000000000−2i2i−2i2i0000000000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-40000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ474444-4-4-4-40000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ484444-4-4-4-400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ494444-4-4-4-400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ5044-4-44-4-4404-404-4000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5144-4-44-4-4404-404-400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5244-4-44-4-440-440-44000000004i−4i−4i4i000000000000000000000000000000000000000
χ5344-4-44-4-440-440-4400000000−4i4i4i−4i000000000000000000000000000000000000000
χ5444-4-4-444-4400-400-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5544-4-4-444-4400-400-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ564-44-444-4-404-40-4400000000000000000000000000000000000000000000002i2−2i2000
χ574-44-444-4-404-40-440000000000000000000000000000000000000000000000−2i22i2000
χ584-44-444-4-40-4404-4000000000000000000004i−4i00000000000000000000000000000
χ594-44-444-4-40-4404-400000000000000000000−4i4i00000000000000000000000000000
χ604-44-4-4-444400400-4-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ614-44-4-4-444400400-4-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ624-44-4-4-444-400-400444-4-44000000000000000000000000000000000000000000000
χ634-44-4-4-444-400-40044-444-4000000000000000000000000000000000000000000000
χ644-4-444-44-4-4-4-4444-440000-440000000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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