Finite Group Databasebeta

← Group #259031

Character table — Group #259031

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-111-1-111
χ141111111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-11-11-1-11111-1-111-1-1
χ151111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-111-111-1-111-1-1-1-111
χ1722222222222-2-2-2-222222-2-22222-2-2000000000000000000-2-200000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-2-20000000000000000002200000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-222-2-222000000000000000000-2200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-2-2-222220000000000000000002-200000000000000
χ2122222222-2-2-22222-222-2-2-2-200002-2000022-2-2000000000000-22000000000000
χ2222222222-2-2-22222-222-2-2-2-200002-20000-2-2220000000000002-2000000000000
χ2322222222-2-2-22222-2-2-222-2-20000-2200002222000000000000-2-2000000000000
χ2422222222-2-2-22222-2-2-222-2-20000-220000-2-2-2-200000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2222-2-20000000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-22-2-222000000000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-222-2-2000000000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-2-2-2220000000000002-20000000000000000
χ2922-2-222-2-222-2-2-222-200002-20000002i−2i2i−2i0000000022-2-2000000002i−2i00000000
χ3022-2-222-2-222-2-2-222-200002-20000002i−2i2i−2i00000000-2-22200000000−2i2i00000000
χ3122-2-222-2-222-2-2-222-200002-2000000−2i2i−2i2i0000000022-2-200000000−2i2i00000000
χ3222-2-222-2-222-2-2-222-200002-2000000−2i2i−2i2i00000000-2-222000000002i−2i00000000
χ3322-2-222-2-2-2-2222-2-2200002-20000002i−2i−2i2i00002i2i−2i−2i00000000002-20000000000
χ3422-2-222-2-2-2-2222-2-2200002-20000002i−2i−2i2i0000−2i−2i2i2i0000000000-220000000000
χ3522-2-222-2-2-2-2222-2-2200002-2000000−2i2i2i−2i00002i2i−2i−2i0000000000-220000000000
χ3622-2-222-2-2-2-2222-2-2200002-2000000−2i2i2i−2i0000−2i−2i2i2i00000000002-20000000000
χ372-2-2-22-2222-2-2000022-22-2002-22-200000000002−22−22−22−200000000002−22−20000
χ382-2-2-22-2222-2-2000022-22-2002-22-20000000000−22−22−22−220000000000−22−220000
χ392-2-2-22-2222-2-2000022-22-200-22-2200000000002−22−22−22−20000000000−22−220000
χ402-2-2-22-2222-2-2000022-22-200-22-220000000000−22−22−22−2200000000002−22−20000
χ412-2-2-22-2222-2-200002-22-22002-2-2200000000002−22−2−22−2200000000002−2−220000
χ422-2-2-22-2222-2-200002-22-22002-2-220000000000−22−222−22−20000000000−222−20000
χ432-2-2-22-2222-2-200002-22-2200-222-200000000002−22−2−22−220000000000−222−20000
χ442-2-2-22-2222-2-200002-22-2200-222-20000000000−22−222−22−200000000002−2−220000
χ4544-4-444-4-444-444-4-4-40000-440000000000000000000000000000000000000000
χ4644-4-444-4-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ474-4444-4-4-44-440000-400000000000000000000000022−22−2222000000000000000000
χ484-4444-4-4-44-440000-4000000000000000000000000−222222−22000000000000000000
χ494-4444-4-4-4-44-400004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-4444-4-4-4-44-40000400000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-44-4-444-40004-44-400000000000000000000000000000000000000000002i2−2i200
χ524-44-4-444-40004-44-40000000000000000000000000000000000000000000−2i22i200
χ534-44-4-444-4000-44-440000000000000000000000000000000000000000000002i2−2i2
χ544-44-4-444-4000-44-44000000000000000000000000000000000000000000000−2i22i2
χ554-4-44-44-440004-4-44000000000000000004-40000000000000000000000000000
χ564-4-44-44-440004-4-4400000000000000000-440000000000000000000000000000
χ574-4-44-44-44000-444-400000000000000000004-400000000000000000000000000
χ584-4-44-44-44000-444-40000000000000000000-4400000000000000000000000000
χ594-4-4-44-444-4440000-44-4-44000000000000000000000000000000000000000000
χ604-4-4-44-444-4440000-4-444-4000000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ6288-88-8-88-8000000000000000000000000000000000000000000000000000000

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