Finite Group Databasebeta

← Group #489334

Character table — Group #489334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888824444444816161616161616162444448888881616161624
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111-1-1-111-111111111111-1-11-11-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-111-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111111-11-11-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-11-11-1-111111111-1-1
χ91111-1-1-1-1-1-1111-11-1-111111-1111-1-1-1-11111-1-1-1-11-1-111-11-111-1-111-1-11-1
χ101111-1-1-1-1-1-1111-11-1-111111-1111-1-1-1-1-1-1-1-111111-1-111-11-1-1-111-1-111-11
χ111111-1-1-1-1-1-1111-11-1-111111-11-1-1-111-11111-1-1-1-1-111-1-111-1-1-11111-1-1-11
χ121111-1-1-1-1-1-1111-11-1-111111-11-1-1-111-1-1-1-1-11111-111-1-111-111-1-1-1-1111-1
χ131111-1-1-1-1-1-1111-11-1-11111-11-1111-1-1-11111-1-1-1-1-11-1-111-1111-1-1-1-111-11
χ141111-1-1-1-1-1-1111-11-1-11111-11-1111-1-1-1-1-1-1-11111-11-1-111-11-1-11111-1-11-1
χ151111-1-1-1-1-1-1111-11-1-11111-11-1-1-1111-11111-1-1-1-11-111-1-1-11-1-111-1-1111-1
χ161111-1-1-1-1-1-1111-11-1-11111-11-1-1-1111-1-1-1-1-111111-111-1-1-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-2-222200200-200000000000000-2-20000000000
χ18222222222222222-2-2-2-2-2-2-2-2-200-200-200000000000000220000000000
χ19222222-2-222-2-2-2-220000002-2-200200022−2−222−2−20000000000002−22−200
χ20222222-2-222-2-2-2-220000002-2-2002000−2−222−2−222000000000000−22−2200
χ21222222-2-222-2-2-2-22000000-22200-200022−2−222−2−2000000000000−22−2200
χ22222222-2-222-2-2-2-22000000-22200-2000−2−222−2−2220000000000002−22−200
χ23222222-2-2-2-222-22-22222-2-200000000-2000000002-20-202000000000000
χ24222222-2-2-2-222-22-22222-2-200000000-200000000-22020-2000000000000
χ25222222-2-2-2-222-22-2-2-2-2-222000220-2-22000000000020-20000000000000
χ26222222-2-2-2-222-22-2-2-2-2-222000-2-202220000000000-2020000000000000
χ272222-2-2222222-2-2-222-2-22200022022-20000000000-20-20000000000000
χ282222-2-2222222-2-2-222-2-222000-2-20-2-2-200000000002020000000000000
χ292222-2-2222222-2-2-2-2-222-2-200000000200000000220-20-2000000000000
χ302222-2-2222222-2-2-2-2-222-2-200000000200000000-2-20202000000000000
χ312222-2-222-2-2-2-2-22200000022-200-200022−2−2−2−2220000000000002−2−2200
χ322222-2-222-2-2-2-2-22200000022-200-2000−2−22222−2−2000000000000−222−200
χ332222-2-222-2-2-2-2-222000000-2-2200200022−2−2−2−222000000000000−222−200
χ342222-2-222-2-2-2-2-222000000-2-22002000−2−22222−2−20000000000002−2−2200
χ352222-2-2-2-2-2-2222-2222-2-2-2-22-2200-200200000000000000-220000000000
χ362222-2-2-2-2-2-2222-2222-2-2-2-2-22-2002002000000000000002-20000000000
χ372-22-2002i−2i2i−2i2-20002i−2i002-20002-202i−2i02−22−2i2−i2i2−i2000000002−2i2−i2000000
χ382-22-2002i−2i2i−2i2-20002i−2i002-20002-202i−2i0−22−22−i2i2−i2i200000000−22−i2i2000000
χ392-22-2002i−2i2i−2i2-20002i−2i002-2000-220−2i2i02−22−2i2−i2i2−i200000000−22−i2i2000000
χ402-22-2002i−2i2i−2i2-20002i−2i002-2000-220−2i2i0−22−22−i2i2−i2i2000000002−2i2−i2000000
χ412-22-200−2i2i−2i2i2-2000−2i2i002-20002-20−2i2i02−22−2−i2i2−i2i2000000002−2−i2i2000000
χ422-22-200−2i2i−2i2i2-2000−2i2i002-20002-20−2i2i0−22−22i2−i2i2−i200000000−22i2−i2000000
χ432-22-200−2i2i−2i2i2-2000−2i2i002-2000-2202i−2i02−22−2−i2i2−i2i200000000−22i2−i2000000
χ442-22-200−2i2i−2i2i2-2000−2i2i002-2000-2202i−2i0−22−22i2−i2i2−i2000000002−2−i2i2000000
χ4544444444-4-4-4-44-4-400000000000000000000000000000000000000000
χ464444-4-4-4-444-4-444-400000000000000000000000000000000000000000
χ474-44-4004i−4i4i−4i4-4000−4i4i00-4400000000000000000000000000000000000
χ484-44-4004i−4i−4i4i-440000000000000000002-2-22−2i2i2i−2i000000000000000000
χ494-44-4004i−4i−4i4i-44000000000000000000-222-22i−2i−2i2i000000000000000000
χ504-44-400−4i4i4i−4i-440000000000000000002-2-222i−2i−2i2i000000000000000000
χ514-44-400−4i4i4i−4i-44000000000000000000-222-2−2i2i2i−2i000000000000000000
χ524-44-400−4i4i−4i4i4-40004i−4i00-4400000000000000000000000000000000000
χ5388-8-8000000000000042−420000000000000000000000000000000000000
χ5488-8-80000000000000−42420000000000000000000000000000000000000
χ558-8-888-800000000000000000000000000000000000000000000000000
χ568-8-88-8800000000000000000000000000000000000000000000000000

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