Finite Group Databasebeta

← Group #501017

Character table — Group #501017

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122222222222244444444444888888888888888888816161616161616161616161616163232
order12222222444488882448888888822444444888161616161616161624444488881616161624
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-11111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-11111111111-1-1-111-1-111-1-1111111-1-1-11-11111-1-1-1-1-1-111-1-111-1-111-1-1-11
χ101111-1-11111111111-1-1-111-1-111-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1
χ111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-1-111-1-11111-1-11-1
χ121111-1-11111111111-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1-111111111-1-1-1-111-1-111-11
χ131111-1-11111111111-1-1-111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111-1-1111-1
χ141111-1-11111111111-1-1-111-1-1-1-1111111-1-111-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-11
χ151111-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-111-1-11111-1-1-1-111-11
χ161111-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-111-1-111-1-11-1
χ17222222222222-2-2-2-2222-2-2-2-222220000-2-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2222-2-2-2-2-2-2-2-200002222-2-2-2000000000000000000000000
χ19222222-2-222-2-22222-22-2-2-222000022-2-20000-200000000002-200000000000000
χ20222222-2-222-2-22222-22-2-2-2220000-2-2220000-20000000000-2200000000000000
χ21222222-2-222-2-2-2-2-2-2-22-222-2-2000000000000200000000000000002i−2i2i−2i000000
χ22222222-2-222-2-2-2-2-2-2-22-222-2-200000000000020000000000000000−2i2i−2i2i000000
χ23222222-2-2-2-2220000-2-2200002222000000000-2-222−2−222−2−200000000002−22−200
χ24222222-2-2-2-2220000-2-2200002222000000000-2-2−2−222−2−2220000000000−22−2200
χ25222222-2-2-2-2220000-2-220000-2-2-2-20000000002222−2−222−2−20000000000−22−2200
χ26222222-2-2-2-2220000-2-220000-2-2-2-200000000022−2−222−2−22200000000002−22−200
χ272222-2-2222222-2-2-2-2-2-2-2-2-22222-2-20000-2-22222-2000000000000000000000000
χ282222-2-2222222-2-2-2-2-2-2-2-2-222-2-222000022-2-22-22000000000000000000000000
χ292222-2-2-2-222-2-222222-22-2-2-2-2000022-2-2000020000000000-2200000000000000
χ302222-2-2-2-222-2-222222-22-2-2-2-20000-2-2220000200000000002-200000000000000
χ312222-2-2-2-222-2-2-2-2-2-22-222222000000000000-200000000000000002i−2i−2i2i000000
χ322222-2-2-2-222-2-2-2-2-2-22-222222000000000000-20000000000000000−2i2i2i−2i000000
χ332222-2-2-2-2-2-222000022-2000022-2-2000000000-2222−2−2−2−22200000000002−2−2200
χ342222-2-2-2-2-2-222000022-2000022-2-2000000000-22−2−22222−2−20000000000−222−200
χ352222-2-2-2-2-2-222000022-20000-2-2220000000002-222−2−2−2−2220000000000−222−200
χ362222-2-2-2-2-2-222000022-20000-2-2220000000002-2−2−22222−2−200000000002−2−2200
χ372-2-22002-2-222-2-2-2220002-20000002-22-2000000000002-22-200002-20000000000
χ382-2-22002-2-222-2-2-2220002-20000002-22-200000000000-22-220000-220000000000
χ392-2-22002-2-222-2-2-2220002-2000000-22-22000000000002-22-20000-220000000000
χ402-2-22002-2-222-2-2-2220002-2000000-22-2200000000000-22-2200002-20000000000
χ412-2-2200-22-22-22-2-222000-220000002-2-2200000002-22-20000002-2000000000000
χ422-2-2200-22-22-22-2-222000-220000002-2-220000000-22-22000000-22000000000000
χ432-2-2200-22-22-22-2-222000-22000000-222-200000002-22-2000000-22000000000000
χ442-2-2200-22-22-22-2-222000-22000000-222-20000000-22-220000002-2000000000000
χ4544444444-4-4-4-400004-4-40000000000000000000000000000000000000000000
χ464444-4-444-4-4-4-40000-4440000000000000000000000000000000000000000000
χ474-44-44-400000022−2222−220000022−222i2−2i22i2−2i200002i−2i2i−2i000000000000000000000000000
χ484-44-44-400000022−2222−220000022−22−2i22i2−2i22i20000−2i2i−2i2i000000000000000000000000000
χ494-44-44-4000000−2222−222200000−22222i2−2i22i2−2i20000−2i2i−2i2i000000000000000000000000000
χ504-44-44-4000000−2222−222200000−2222−2i22i2−2i22i200002i−2i2i−2i000000000000000000000000000
χ514-44-4-4400000022−2222−2200000−22222i2−2i2−2i22i200002i−2i−2i2i000000000000000000000000000
χ524-44-4-4400000022−2222−2200000−2222−2i22i22i2−2i20000−2i2i2i−2i000000000000000000000000000
χ534-44-4-44000000−2222−22220000022−222i2−2i2−2i22i20000−2i2i2i−2i000000000000000000000000000
χ544-44-4-44000000−2222−22220000022−22−2i22i22i2−2i200002i−2i−2i2i000000000000000000000000000
χ554-4-44004-44-4-440000000000000000000000000022−22−222200000000000000000000
χ564-4-44004-44-4-4400000000000000000000000000−222222−2200000000000000000000
χ574-4-44004-4-444-444-4-4000-4400000000000000000000000000000000000000000
χ584-4-4400-444-44-400000000000000000000000000000022−22−22220000000000000000
χ594-4-4400-444-44-4000000000000000000000000000000−222222−220000000000000000
χ604-4-4400-44-44-4444-4-40004-400000000000000000000000000000000000000000
χ6188-8-80000000042−42−42420000000000000000000000000000000000000000000000
χ6288-8-800000000−424242−420000000000000000000000000000000000000000000000

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