Finite Group Databasebeta

← Group #256995

Character table — Group #256995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ711111111111111111111111-1-11-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1
χ91111111111111111-1-11-1-11-111-1-1-1111111-1-11111-1-1-1-1-111-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-11-1-11-111-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-1-1111111-1-1111111-1-1-1-11-1-11-1-111-1-1-1-111-1-111
χ141111111111111111-1-11-1-11-1-1-1-1111111-1-111-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1
χ151111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1
χ161111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111
χ172222222222-2-222-2-222-222-2-200-20000002222000000000-20-200000000000000
χ182222222222-2-222-2-222-222-2-200-2000000-2-2-2-200000000020200000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-2200200000022-2-2000000000-20200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22002000000-2-22200000000020-200000000000000
χ2122222222-2-222-2-22222-2-2-2-2-2222-2-2000000000000000020-2000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-22220000000000000000-202000000000000000
χ2322222222-2-222-2-222-2-2-222-2222-2220000000000000000-20-2000000000000000
χ2422222222-2-222-2-222-2-2-222-22-2-2-2-2-20000000000000000202000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22200-20022-2-200000000000000002-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22200-200-2-2220000000000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-20020022-2-20000000000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-200200-2-22200000000000000002-2000000000000
χ2922-222-2-2-22-22-22-22-200-20020000002i−2i2i−2i0000000022-2-2000000002i−2i00000000
χ3022-222-2-2-22-22-22-22-200-20020000002i−2i2i−2i00000000-2-22200000000−2i2i00000000
χ3122-222-2-2-22-22-22-22-200-2002000000−2i2i−2i2i0000000022-2-200000000−2i2i00000000
χ3222-222-2-2-22-22-22-22-200-2002000000−2i2i−2i2i00000000-2-222000000002i−2i00000000
χ3322-222-2-2-2-22-22-22-2200-20020000002i−2i−2i2i000022-2-200000000002i−2i0000000000
χ3422-222-2-2-2-22-22-22-2200-20020000002i−2i−2i2i0000-2-2220000000000−2i2i0000000000
χ3522-222-2-2-2-22-22-22-2200-2002000000−2i2i2i−2i000022-2-20000000000−2i2i0000000000
χ3622-222-2-2-2-22-22-22-2200-2002000000−2i2i2i−2i0000-2-22200000000002i−2i0000000000
χ372-222-22-2-2-2-20022002-202-2000000000002i−2i2i−2i2−22−22−22−200000000000000i2−i2i2−i2
χ382-222-22-2-2-2-20022002-202-2000000000002i−2i2i−2i−22−22−22−2200000000000000−i2i2−i2i2
χ392-222-22-2-2-2-20022002-202-200000000000−2i2i−2i2i2−22−22−22−200000000000000−i2i2−i2i2
χ402-222-22-2-2-2-20022002-202-200000000000−2i2i−2i2i−22−22−22−2200000000000000i2−i2i2−i2
χ412-222-22-2-2-2-2002200-220-22000000000002i−2i−2i2i2−22−2−22−2200000000000000i2−i2−i2i2
χ422-222-22-2-2-2-2002200-220-22000000000002i−2i−2i2i−22−222−22−200000000000000−i2i2i2−i2
χ432-222-22-2-2-2-2002200-220-2200000000000−2i2i2i−2i2−22−2−22−2200000000000000−i2i2i2−i2
χ442-222-22-2-2-2-2002200-220-2200000000000−2i2i2i−2i−22−222−22−200000000000000i2−i2−i2i2
χ4544-444-4-4-44-4-444-4-4400400-40000000000000000000000000000000000000000
χ4644-444-4-4-4-444-4-444-400400-40000000000000000000000000000000000000000
χ474-444-44-4-44400-4-4004-40-4400000000000000000000000000000000000000000
χ484-444-44-4-44400-4-400-4404-400000000000000000000000000000000000000000
χ494-44-44-44-4004400-4-400000004-40000000000000000000000000000000000000
χ504-44-44-44-4004400-4-40000000-440000000000000000000000000000000000000
χ514-44-44-44-400-4-4004400000000004i−4i0000000000000000000000000000000000
χ524-44-44-44-400-4-400440000000000−4i4i0000000000000000000000000000000000
χ534-4-44-4-4444-400-44000000000000000000000022−22−22220000000000000000000000
χ544-4-44-4-4444-400-440000000000000000000000−222222−220000000000000000000000
χ554-4-44-4-444-44004-40000000000000000000000000022−22−2222000000000000000000
χ564-4-44-4-444-44004-400000000000000000000000000−222222−22000000000000000000
χ574-4-4-444-44004-400-44000000000000000000000000000000000000000022−220000
χ584-4-4-444-44004-400-440000000000000000000000000000000000000000−22220000
χ594-4-4-444-4400-44004-40000000000000000000000000000000000000022−22000000
χ604-4-4-444-4400-44004-400000000000000000000000000000000000000−2222000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ6288-8-8-888-8000000000000000000000000000000000000000000000000000000

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