Finite Group Databasebeta

← Group #236284

Character table — Group #236284

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222222444444244444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111111
χ91111-1-111-1-1-1-111-111-1-11-1-1111111-1-1-1-11-1-1111-11-1-11-111-1-111-1-111-1-1
χ101111-1-111-1-1-1-111-111-1-11-1-1111111-1-1-1-11-1-111-111-1-1-11-1-111-1-111-1-111
χ111111-1-111-1-1-1-111-111-1-11-1-1111111-1-1-1-1-111-1-11-1-1111-1-1-111-1-11111-1-1
χ121111-1-111-1-1-1-111-111-1-11-1-1111111-1-1-1-1-111-1-1-11-111-1111-1-111-1-1-1-111
χ131111-1-111-1-1-1-111-111-1-11-1-111-1-1-1-111111-1-1-1-11-11111-1-1-11111-1-1-1-111
χ141111-1-111-1-1-1-111-111-1-11-1-111-1-1-1-111111-1-1-1-1-11111-1111-1-1-1-11111-1-1
χ151111-1-111-1-1-1-111-111-1-11-1-111-1-1-1-11111-111111-1-1-1-11-111-1-1-1-111-1-111
χ161111-1-111-1-1-1-111-111-1-11-1-111-1-1-1-11111-11111-11-1-1-1-11-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-2-2-22-2000000000000000000002-22-200000000
χ18222222222222-2-222-2-2-2-2-2-22-200000000000000000000-22-2200000000
χ1922222222-2-2-2-2222-2222-2-2-2-2-2000000000000022000-2-2000000000000
χ2022222222-2-2-2-2222-2222-2-2-2-2-20000000000000-2-200022000000000000
χ2122222222-2-2-2-2-2-22-2-2-2-2222-22000000000002-20002-200000000000000
χ2222222222-2-2-2-2-2-22-2-2-2-2222-2200000000000-22000-2200000000000000
χ23222222-2-222-2-222-22-22-2-22-2-220000000022-20000-20000000000000000
χ24222222-2-222-2-222-22-22-2-22-2-2200000000-2-22000020000000000000000
χ25222222-2-222-2-2-2-2-222-222-22-2-200000000000000000000000000002i−2i2i−2i
χ26222222-2-222-2-2-2-2-222-222-22-2-20000000000000000000000000000−2i2i−2i2i
χ27222222-2-2-2-22222-2-2-22-22-222-20000000000000000000000002-22-20000
χ28222222-2-2-2-22222-2-2-22-22-222-2000000000000000000000000-22-220000
χ29222222-2-2-2-222-2-2-2-22-22-22-22222-2-222-2-2000000000000000000000000
χ30222222-2-2-2-222-2-2-2-22-22-22-222-2-222-2-222000000000000000000000000
χ312222-2-222222222-2-22-2-2-222-2-200000000000002-2000-22000000000000
χ322222-2-222222222-2-22-2-2-222-2-20000000000000-220002-2000000000000
χ332222-2-2222222-2-2-2-2-2222-2-2-22000000000002-2000-2200000000000000
χ342222-2-2222222-2-2-2-2-2222-2-2-2200000000000-220002-200000000000000
χ352222-2-222-2-2-2-2-2-2-22-222-2222-2000000000000000000002-2-2200000000
χ362222-2-222-2-2-2-2-2-2-22-222-2222-200000000000000000000-222-200000000
χ372222-2-2-2-222-2-2222-2-2-2222-22-20000000000000000000000002-2-220000
χ382222-2-2-2-222-2-2222-2-2-2222-22-2000000000000000000000000-222-20000
χ392222-2-2-2-222-2-2-2-22-222-2-2-222222-2-2-2-222000000000000000000000000
χ402222-2-2-2-222-2-2-2-22-222-2-2-2222-2-22222-2-2000000000000000000000000
χ412222-2-2-2-2-2-2222222-2-22-2-22-22000000002-220000-20000000000000000
χ422222-2-2-2-2-2-2222222-2-22-2-22-2200000000-22-2000020000000000000000
χ432222-2-2-2-2-2-222-2-22222-222-2-2-200000000000000000000000000002i−2i−2i2i
χ442222-2-2-2-2-2-222-2-22222-222-2-2-20000000000000000000000000000−2i2i2i−2i
χ454-4-44004-44i−4i4i−4i0000000000002i−2i2i−2i2-22-2000000000000000000000000
χ464-4-44004-44i−4i4i−4i000000000000−2i2i−2i2i-22-22000000000000000000000000
χ474-4-44004-4−4i4i−4i4i0000000000002i−2i2i−2i-22-22000000000000000000000000
χ484-4-44004-4−4i4i−4i4i000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ494-4-4400-444i−4i−4i4i0000000000002i−2i−2i2i-222-2000000000000000000000000
χ504-4-4400-444i−4i−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ514-4-4400-44−4i4i4i−4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ524-4-4400-44−4i4i4i−4i000000000000−2i2i2i−2i-222-2000000000000000000000000
χ5388-8-8000000008-8000000000000000000000000000000000000000000
χ5488-8-800000000-88000000000000000000000000000000000000000000
χ558-88-88-800000000000000000000000000000000000000000000000000
χ568-88-8-8800000000000000000000000000000000000000000000000000

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