Finite Group Databasebeta

← Group #239028

Character table — Group #239028

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12224444444444222444444488888888244444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-11111111-1-11-11-1-1-111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ101111-1-1-1-11111111-1-11-11-1-1-111111-1-1-1-11-11-1-1-11111-1-1-1-111-1-1-1-11111
χ111111-1-1-1-11111111-1-11-11-1-1-111111-1-1-1-1-11-1111-1-1-1-11111-1-1-1-1-1-11111
χ121111-1-1-1-11111111-1-11-11-1-1-111111-1-1-1-1-11-11-1-111-1-111-1-1111111-1-1-1-1
χ131111-1-1-1-11111111-1-11-11-1-1-11-1-1-1-111111-11-111-1-1-1-111-1-111-1-111-1-111
χ141111-1-1-1-11111111-1-11-11-1-1-11-1-1-1-111111-11-1-1-111-1-11111-1-111-1-111-1-1
χ151111-1-1-1-11111111-1-11-11-1-1-11-1-1-1-11111-11-1111-1-111-1-1-1-11111-1-111-1-1
χ161111-1-1-1-11111111-1-11-11-1-1-11-1-1-1-11111-11-11-1-11111-1-111-1-1-1-111-1-111
χ17222222222222-2-2-22-2-2-2-22-2-2222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-22-2-2-2-22-2-22-2-222-2-222000000000000000000000000
χ1922222222-2-22222-2-222-2-2-22-2-20000000000002-22-20000000000000000
χ2022222222-2-22222-2-222-2-2-22-2-2000000000000-22-220000000000000000
χ2122222222-2-222-2-22-2-2-222-2-22-2000000000000000000002i−2i2i−2i00000000
χ2222222222-2-222-2-22-2-2-222-2-22-200000000000000000000−2i2i−2i2i00000000
χ23222222-2-222-2-222-22-2-2-22-222-2000000002-2-2200000000000000000000
χ24222222-2-222-2-222-22-2-2-22-222-200000000-222-200000000000000000000
χ25222222-2-222-2-2-2-222222-2-2-2-2-200000000000000002i−2i2i−2i000000000000
χ26222222-2-222-2-2-2-222222-2-2-2-2-20000000000000000−2i2i−2i2i000000000000
χ27222222-2-2-2-2-2-2222-2-2-22-222-22000000000000000000000000002-22-200
χ28222222-2-2-2-2-2-2222-2-2-22-222-2200000000000000000000000000-22-2200
χ29222222-2-2-2-2-2-2-2-2-2-222-222-2220000000000000000000000002i−2i00002i−2i
χ30222222-2-2-2-2-2-2-2-2-2-222-222-222000000000000000000000000−2i2i0000−2i2i
χ312222-2-22222-2-222-2-22-2222-2-2-20000000022-2-200000000000000000000
χ322222-2-22222-2-222-2-22-2222-2-2-200000000-2-22200000000000000000000
χ332222-2-22222-2-2-2-22-2-22-2-2222-200000000000000002i−2i−2i2i000000000000
χ342222-2-22222-2-2-2-22-2-22-2-2222-20000000000000000−2i2i2i−2i000000000000
χ352222-2-222-2-2-2-222222-2-2-2-2-222000000000000000000000000002-2-2200
χ362222-2-222-2-2-2-222222-2-2-2-2-22200000000000000000000000000-222-200
χ372222-2-222-2-2-2-2-2-2-22-2222-22-220000000000000000000000002i−2i0000−2i2i
χ382222-2-222-2-2-2-2-2-2-22-2222-22-22000000000000000000000000−2i2i00002i−2i
χ392222-2-2-2-22222-2-2-2-22-22-2-222222-2-2-2-222000000000000000000000000
χ402222-2-2-2-22222-2-2-2-22-22-2-2222-2-22222-2-2000000000000000000000000
χ412222-2-2-2-2-2-22222-22-222-22-22-20000000000002-2-220000000000000000
χ422222-2-2-2-2-2-22222-22-222-22-22-2000000000000-222-20000000000000000
χ432222-2-2-2-2-2-222-2-2222-2-2222-2-2000000000000000000002i−2i−2i2i00000000
χ442222-2-2-2-2-2-222-2-2222-2-2222-2-200000000000000000000−2i2i2i−2i00000000
χ454-44-44i−4i4i−4i004-4000000000000002i2−2i20022−22000000000000000000000000
χ464-44-44i−4i4i−4i004-400000000000000−2i22i200−2222000000000000000000000000
χ474-44-44i−4i−4i4i00-4400000000000022−22002i2−2i200000000000000000000000000
χ484-44-44i−4i−4i4i00-44000000000000−222200−2i22i200000000000000000000000000
χ494-44-4−4i4i4i−4i00-4400000000000022−2200−2i22i200000000000000000000000000
χ504-44-4−4i4i4i−4i00-44000000000000−2222002i2−2i200000000000000000000000000
χ514-44-4−4i4i−4i4i004-4000000000000002i2−2i200−2222000000000000000000000000
χ524-44-4−4i4i−4i4i004-400000000000000−2i22i20022−22000000000000000000000000
χ5388-8-800008-80000000000000000000000000000000000000000000000
χ5488-8-80000-880000000000000000000000000000000000000000000000
χ558-8-88000000008-8000000000000000000000000000000000000000000
χ568-8-8800000000-88000000000000000000000000000000000000000000

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