Finite Group Databasebeta

← Group #309950

Character table — Group #309950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1111-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1111111-1-111-1
χ172222222222-2-222-2-2-20000-2222200002222-2-2-2-2000000000000-200000000000000
χ182222222222-2-222-2-2-20000-222220000-2-2-2-222-2-2000000000000200000000000000
χ192222222222-2-222-2-2-20000-2-2-2-2-2000022-2-2-2-222000000000000200000000000000
χ202222222222-2-222-2-2-20000-2-2-2-2-20000-2-2222222000000000000-200000000000000
χ2122222222-2-222-2-222-22222-2000022-2-20000000022-2-200000000000-200000000000
χ2222222222-2-222-2-222-22222-20000-2-2-2-200000000-2-22200000000000200000000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000222200000000-2-22200000000000-200000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000-2-2220000000022-2-200000000000200000000000
χ2522-2-222-2-222-2-2-2-222-22i2i−2i−2i20000002i−2i000000000000000000000000002i−2i002-2000
χ2622-2-222-2-222-2-2-2-222-22i2i−2i−2i20000002i−2i00000000000000000000000000−2i2i00-22000
χ2722-2-222-2-222-2-2-2-222-2−2i−2i2i2i2000000−2i2i000000000000000000000000002i−2i00-22000
χ2822-2-222-2-222-2-2-2-222-2−2i−2i2i2i2000000−2i2i00000000000000000000000000−2i2i002-2000
χ2922-2-222-2-2-2-22222-2-2-200002000000002i−2i002i−2i00000022-2-2000002i−2i000000000000
χ3022-2-222-2-2-2-22222-2-2-200002000000002i−2i002i−2i000000-2-22200000−2i2i000000000000
χ3122-2-222-2-2-2-22222-2-2-20000200000000−2i2i00−2i2i00000022-2-200000−2i2i000000000000
χ3222-2-222-2-2-2-22222-2-2-20000200000000−2i2i00−2i2i000000-2-222000002i−2i000000000000
χ3322-2-222-2-2-2-2-2-2222222i2i−2i−2i-2000000−2i2i2i−2i00−2i2i0000000000000000002-2000000000
χ3422-2-222-2-2-2-2-2-2222222i2i−2i−2i-2000000−2i2i−2i2i002i−2i000000000000000000-22000000000
χ3522-2-222-2-2-2-2-2-222222−2i−2i2i2i-20000002i−2i2i−2i00−2i2i000000000000000000-22000000000
χ3622-2-222-2-2-2-2-2-222222−2i−2i2i2i-20000002i−2i−2i2i002i−2i0000000000000000002-2000000000
χ372-22-22-22-2002-2002-202-22-20i2i2−i2−i22i−2i00000000i2−i22i−2i00i2−i2i2−i222−2−2000000002−200000
χ382-22-22-22-2002-2002-202-22-20i2i2−i2−i2−2i2i00000000i2−i2−2i2i00i2−i2i2−i2−2−22200000000−2200000
χ392-22-22-22-2002-2002-202-22-20−i2−i2i2i22i−2i00000000−i2i22i−2i00−i2i2−i2i2−2−22200000000−2200000
χ402-22-22-22-2002-2002-202-22-20−i2−i2i2i2−2i2i00000000−i2i2−2i2i00−i2i2−i2i222−2−2000000002−200000
χ412-22-22-22-2002-2002-20-22-220i2i2−i2−i22i−2i00000000i2−i2−2i2i00−i2i2−i2i2−2−222000000002−200000
χ422-22-22-22-2002-2002-20-22-220i2i2−i2−i2−2i2i00000000i2−i22i−2i00−i2i2−i2i222−2−200000000−2200000
χ432-22-22-22-2002-2002-20-22-220−i2−i2i2i22i−2i00000000−i2i2−2i2i00i2−i2i2−i222−2−200000000−2200000
χ442-22-22-22-2002-2002-20-22-220−i2−i2i2i2−2i2i00000000−i2i22i−2i00i2−i2i2−i2−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-4-444-4-44444-4-4-4-440000-40000000000000000000000000000000000000000000
χ4744-4-4-4-4440000000000000022−2222−22000000000000002i2−2i200002i−2i2i−2i000000000000000
χ4844-4-4-4-4440000000000000022−2222−2200000000000000−2i22i20000−2i2i−2i2i000000000000000
χ4944-4-4-4-44400000000000000−2222−2222000000000000002i2−2i20000−2i2i−2i2i000000000000000
χ5044-4-4-4-44400000000000000−2222−222200000000000000−2i22i200002i−2i2i−2i000000000000000
χ514-44-44-44-400-4400-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ524-44-44-44-400-4400-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ534-44-4-44-444-4004-40000000000000000004i−4i0000000000000000000000000000000
χ544-44-4-44-444-4004-4000000000000000000−4i4i0000000000000000000000000000000
χ554-44-4-44-44-4400-440000000000000000000000000000000000000000000000002i2−2i20
χ564-44-4-44-44-4400-44000000000000000000000000000000000000000000000000−2i22i20
χ574-4-444-4-44004-400-44000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-4-444-4-44004-400-4400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-4-444-4-4400-44004-404i−4i−4i4i00000000000000000000000000000000000000000000
χ604-4-444-4-4400-44004-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ614-4-44-444-44-400-44000000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-44-444-44-400-4400000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-44-444-4-44004-4000000004i−4i−4i4i000000000000000000000000000000000000000
χ644-4-44-444-4-44004-400000000−4i4i4i−4i000000000000000000000000000000000000000
χ658888-8-8-8-8000000000000000000000000000000000000000000000000000000000

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