Finite Group Databasebeta

← Group #238331

Character table — Group #238331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444444416161616161616161616161616161616161616161616161616161616
order12222244442244444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111111111-1-1111-1-1-1-1-1-1111-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1111-1-1-1-1-1-1111-1-11-1-111-1-11-1-11111-1-1-1-111-1-111
χ111111111111-1-1111-1-1-1-1-1-1111-1-1-111-1-111-1-1-111-1-111-1-11111-1-1
χ121111111111-1-1111-1-1-1-1-1-1111-1-1-11-11-11-1111-1-1-1-11111-1-1-1-111
χ131111111111-1-1111-1-1-1-1-1-11-1-1111-11-11-11-111-1-1-1-111-1-111-1-111
χ141111111111-1-1111-1-1-1-1-1-11-1-1111-1-111-1-11-1-111-1-11111-1-111-1-1
χ151111111111-1-1111-1-1-1-1-1-11-1-111-111-1-111-1-1-11111-1-111-1-1-1-111
χ161111111111-1-1111-1-1-1-1-1-11-1-111-11-11-11-1111-1-111-1-1-1-11111-1-1
χ1722222222-2-2222-2-222-2-2-2-2-20000000000002-22-2000000000000
χ1822222222-2-2222-2-222-2-2-2-2-2000000000000-22-22000000000000
χ1922222222-2-2-2-22-2-2-2-22222-20000000000002-2-22000000000000
χ2022222222-2-2-2-22-2-2-2-22222-2000000000000-222-2000000000000
χ21222222-2-22222-22-2-2-222-2-2-200002200-2-2000000000000000000
χ22222222-2-22222-22-2-2-222-2-2-20000-2-20022000000000000000000
χ23222222-2-222-2-2-22-222-2-222-200002-200-22000000000000000000
χ24222222-2-222-2-2-22-222-2-222-20000-22002-2000000000000000000
χ25222222-2-2-2-222-2-22-2-2-2-22220000002200-2-20000000000000000
χ26222222-2-2-2-222-2-22-2-2-2-2222000000-2-200220000000000000000
χ27222222-2-2-2-2-2-2-2-222222-2-220000002-200-220000000000000000
χ28222222-2-2-2-2-2-2-2-222222-2-22000000-22002-20000000000000000
χ292222-2-222222-2-2-222-22-22-2-20000000000000000000000002i−2i2i−2i
χ302222-2-222222-2-2-222-22-22-2-2000000000000000000000000−2i2i−2i2i
χ312222-2-22222-22-2-22-22-22-22-20000000000000000000000002i−2i−2i2i
χ322222-2-22222-22-2-22-22-22-22-2000000000000000000000000−2i2i2i−2i
χ332222-2-222-2-22-2-22-22-2-22-22200000000000000002i−2i2i−2i00000000
χ342222-2-222-2-22-2-22-22-2-22-2220000000000000000−2i2i−2i2i00000000
χ352222-2-222-2-2-22-22-2-222-22-2200000000000000002i−2i−2i2i00000000
χ362222-2-222-2-2-22-22-2-222-22-220000000000000000−2i2i2i−2i00000000
χ372222-2-2-2-2222-22-2-2-222-2-222000000000000000000002i−2i2i−2i0000
χ382222-2-2-2-2222-22-2-2-222-2-22200000000000000000000−2i2i−2i2i0000
χ392222-2-2-2-222-222-2-22-2-222-22000000000000000000002i−2i−2i2i0000
χ402222-2-2-2-222-222-2-22-2-222-2200000000000000000000−2i2i2i−2i0000
χ412222-2-2-2-2-2-22-2222-22-222-2-22-22-2000000000000000000000000
χ422222-2-2-2-2-2-22-2222-22-222-2-2-22-22000000000000000000000000
χ432222-2-2-2-2-2-2-222222-22-2-22-22-2-22000000000000000000000000
χ442222-2-2-2-2-2-2-222222-22-2-22-2-222-2000000000000000000000000
χ4588-8-800008i−8i0000000000000000000000000000000000000000
χ4688-8-80000−8i8i0000000000000000000000000000000000000000
χ478-88-8008i−8i000000000000000000000000000000000000000000
χ488-88-800−8i8i000000000000000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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