Finite Group Databasebeta

← Group #280159

Character table — Group #280159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11-1-11-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111111-1-1-11111-1-111-1-1-1
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
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111111-1-11111-1-1-1
χ172222222222-2-22-2-222222-2-2000000000022-2-200-2-20000220000-200000000000000
χ182222222222-2-22-2-222222-2-20000000000-2-2-2-200220000-2-20000200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-20000000000222200220000-2-20000-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000000000-2-22200-2-20000220000200000000000000
χ2122222222-2-222-222-20000-2-2222222-2-2220000-2-2000000000000000-200000000000
χ2222222222-2-222-222-20000-2-22222-2-222-2-20000-2-2000000000000000200000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-222-2-2-2-2000022000000000000000200000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-22222000022000000000000000-200000000000
χ2522-22-2-2-222-200-20022i2i−2i−2i00i2i2−i2−i20000002i−2i00i2−i20022−2−22-2i2i2−i2−i2000000002−200000
χ2622-22-2-2-222-200-20022i2i−2i−2i00i2i2−i2−i2000000−2i2i00i2−i20022−2−2-22−i2−i2i2i200000000−2200000
χ2722-22-2-2-222-200-20022i2i−2i−2i00−i2−i2i2i20000002i−2i00−i2i200−2−2222-2−i2−i2i2i200000000−2200000
χ2822-22-2-2-222-200-20022i2i−2i−2i00−i2−i2i2i2000000−2i2i00−i2i200−2−222-22i2i2−i2−i2000000002−200000
χ2922-22-2-2-222-200-2002−2i−2i2i2i00i2i2−i2−i20000002i−2i00i2−i200−2−222-22−i2−i2i2i2000000002−200000
χ3022-22-2-2-222-200-2002−2i−2i2i2i00i2i2−i2−i2000000−2i2i00i2−i200−2−2222-2i2i2−i2−i200000000−2200000
χ3122-22-2-2-222-200-2002−2i−2i2i2i00−i2−i2i2i20000002i−2i00−i2i20022−2−2-22i2i2−i2−i200000000−2200000
χ3222-22-2-2-222-200-2002−2i−2i2i2i00−i2−i2i2i2000000−2i2i00−i2i20022−2−22-2−i2−i2i2i2000000002−200000
χ332-2-222-22-22-2222-2-2-22i−2i2i−2i-2200002-22-200002i−2i0000000000000002i−2i000000000000
χ342-2-222-22-22-2222-2-2-22i−2i2i−2i-220000-22-2200002i−2i000000000000000−2i2i000000000000
χ352-2-222-22-22-2222-2-2-2−2i2i−2i2i-2200002-22-20000−2i2i000000000000000−2i2i000000000000
χ362-2-222-22-22-2222-2-2-2−2i2i−2i2i-220000-22-220000−2i2i0000000000000002i−2i000000000000
χ372-2-222-22-22-2-2-2222-22i−2i2i−2i2-2000000000000−2i2i0000000000000000002-20000002i−2i0
χ382-2-222-22-22-2-2-2222-22i−2i2i−2i2-2000000000000−2i2i000000000000000000-22000000−2i2i0
χ392-2-222-22-22-2-2-2222-2−2i2i−2i2i2-20000000000002i−2i0000000000000000002-2000000−2i2i0
χ402-2-222-22-22-2-2-2222-2−2i2i−2i2i2-20000000000002i−2i000000000000000000-220000002i−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
χ46444-44-4-4-4004-404-4000000000000000000000000000000022−2222−22000000000000000
χ47444-44-4-4-4004-404-40000000000000000000000000000000−2222−2222000000000000000
χ48444-44-4-4-400-440-4400000004-44-4000000000000000000000000000000000000000
χ49444-44-4-4-400-440-440000000-44-44000000000000000000000000000000000000000
χ5044-44-4-4-44-4400400-40000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-44-4-4-44-4400400-4000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ5244-4-4-444-4000000000000002i2−2i2−2i22i200000000000022−220000002i−2i−2i2i000000000000000
χ5344-4-4-444-4000000000000002i2−2i2−2i22i2000000000000−2222000000−2i2i2i−2i000000000000000
χ5444-4-4-444-400000000000000−2i22i22i2−2i200000000000022−22000000−2i2i2i−2i000000000000000
χ5544-4-4-444-400000000000000−2i22i22i2−2i2000000000000−22220000002i−2i−2i2i000000000000000
χ564-444-44-4-44400-400-44-4-44000000000000000000000000000000000000000000000
χ574-444-44-4-44400-400-4-444-4000000000000000000000000000000000000000000000
χ584-444-44-4-4-4-40040040000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ594-444-44-4-4-4-4004004000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-4-444-44-4-44-4-4-44440000-440000000000000000000000000000000000000000000
χ614-4-4-444-44004-40-4400000000000000000000000000000000000000000000022−22000
χ624-4-4-444-44004-40-44000000000000000000000000000000000000000000000−2222000
χ634-4-4-444-4400-4404-40000000000000004-4000000000000000000000000000000000
χ644-4-4-444-4400-4404-4000000000000000-44000000000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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