Finite Group Databasebeta

← Group #240080

Character table — Group #240080

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111122222222222222222244444488888888888888888888888816161616161616161616161616161616
order12222244444444444444442244444444444488888888888888882444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-111-1-1
χ17222222222222-2-2-2-222-2-2-2-222-2-2-2-200000000000000000000000000002i−2i2i−2i00000000
χ18222222222222-2-2-2-222-2-2-2-222-2-2-2-20000000000000000000000000000−2i2i−2i2i00000000
χ1922222222-2-2-2-2222222-2-2-2-2-2-2-222-200000000000000000000000000002i−2i−2i2i00000000
χ2022222222-2-2-2-2222222-2-2-2-2-2-2-222-20000000000000000000000000000−2i2i2i−2i00000000
χ21222222-2-222222222-2-22222-2-2-2-2-2-222-2-222-2-200000000000000000000000000000000
χ22222222-2-222222222-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ23222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000002i−2i2i−2i
χ24222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000−2i2i−2i2i
χ25222222-2-2-2-2-2-22222-2-2-2-2-2-2222-2-220000000000000000000000000000000000002i−2i−2i2i
χ26222222-2-2-2-2-2-22222-2-2-2-2-2-2222-2-22000000000000000000000000000000000000−2i2i2i−2i
χ27222222-2-2-2-2-2-2-2-2-2-2-2-2222222-222-222-2-2-2-22200000000000000000000000000000000
χ28222222-2-2-2-2-2-2-2-2-2-2-2-2222222-222-2-2-22222-2-200000000000000000000000000000000
χ292222-2-22222-2-222-2-2-2-222-2-22-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302222-2-22222-2-222-2-2-2-222-2-22-222-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ312222-2-22222-2-2-2-222-2-2-2-2222-2-2-222000000000000000000000000000000002-22-20000
χ322222-2-22222-2-2-2-222-2-2-2-2222-2-2-22200000000000000000000000000000000-22-220000
χ332222-2-222-2-22222-2-2-2-2-2-222-22-22-22000000000000000000000000000000002-2-220000
χ342222-2-222-2-22222-2-2-2-2-2-222-22-22-2200000000000000000000000000000000-222-20000
χ352222-2-222-2-222-2-222-2-222-2-2-222-22-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362222-2-222-2-222-2-222-2-222-2-2-222-22-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372222-2-2-2-222-2-222-2-22222-2-2-22-2-222000000000000000022-2-222-2-20000000000000000
χ382222-2-2-2-222-2-222-2-22222-2-2-22-2-2220000000000000000-2-222-2-2220000000000000000
χ392222-2-2-2-222-2-2-2-22222-2-222-2222-2-200000000000000000000000022-2-2000000000000
χ402222-2-2-2-222-2-2-2-22222-2-222-2222-2-2000000000000000000000000-2-222000000000000
χ412222-2-2-2-2-2-22222-2-222-2-2222-22-22-20000000000000000000000002-2-22000000000000
χ422222-2-2-2-2-2-22222-2-222-2-2222-22-22-2000000000000000000000000-222-2000000000000
χ432222-2-2-2-2-2-222-2-2222222-2-22-2-22-22000000000000000022-2-2-2-2220000000000000000
χ442222-2-2-2-2-2-222-2-2222222-2-22-2-22-220000000000000000-2-22222-2-20000000000000000
χ452-22-22-2002i−2i2i−2i2i−2i2i−2i002-22-2000000002i−2i002-2i2−i2i2−i22−22−22−22−2i2−i2i2−i20000000000000000
χ462-22-22-2002i−2i2i−2i2i−2i2i−2i002-22-2000000002i−2i002-2−i2i2−i2i2−22−22−22−22−i2i2−i2i20000000000000000
χ472-22-22-2002i−2i2i−2i2i−2i2i−2i002-22-200000000−2i2i00-22i2−i2i2−i22−22−2−22−22−i2i2−i2i20000000000000000
χ482-22-22-2002i−2i2i−2i2i−2i2i−2i002-22-200000000−2i2i00-22−i2i2−i2i2−22−222−22−2i2−i2i2−i20000000000000000
χ492-22-22-200−2i2i−2i2i−2i2i−2i2i002-22-2000000002i−2i00-22i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000
χ502-22-22-200−2i2i−2i2i−2i2i−2i2i002-22-2000000002i−2i00-22−i2i2−i2i22−22−2−22−22i2−i2i2−i20000000000000000
χ512-22-22-200−2i2i−2i2i−2i2i−2i2i002-22-200000000−2i2i002-2i2−i2i2−i2−22−22−22−22i2−i2i2−i20000000000000000
χ522-22-22-200−2i2i−2i2i−2i2i−2i2i002-22-200000000−2i2i002-2−i2i2−i2i22−22−22−22−2−i2i2−i2i20000000000000000
χ532-22-2-22002i−2i−2i2i2i−2i−2i2i002-2-220000002-2002i−2i002−2−22−i2i2i2−i22−2−22i2−i2−i2i20000000000000000
χ542-22-2-22002i−2i−2i2i2i−2i−2i2i002-2-220000002-2002i−2i00−222−2i2−i2−i2i2−222−2−i2i2i2−i20000000000000000
χ552-22-2-22002i−2i−2i2i2i−2i−2i2i002-2-22000000-2200−2i2i002−2−22−i2i2i2−i2−222−2−i2i2i2−i20000000000000000
χ562-22-2-22002i−2i−2i2i2i−2i−2i2i002-2-22000000-2200−2i2i00−222−2i2−i2−i2i22−2−22i2−i2−i2i20000000000000000
χ572-22-2-2200−2i2i2i−2i−2i2i2i−2i002-2-220000002-200−2i2i002−2−22i2−i2−i2i22−2−22−i2i2i2−i20000000000000000
χ582-22-2-2200−2i2i2i−2i−2i2i2i−2i002-2-220000002-200−2i2i00−222−2−i2i2i2−i2−222−2i2−i2−i2i20000000000000000
χ592-22-2-2200−2i2i2i−2i−2i2i2i−2i002-2-22000000-22002i−2i002−2−22i2−i2−i2i2−222−2i2−i2−i2i20000000000000000
χ602-22-2-2200−2i2i2i−2i−2i2i2i−2i002-2-22000000-22002i−2i00−222−2−i2i2i2−i22−2−22−i2i2i2−i20000000000000000
χ614-44-44-4004i−4i4i−4i−4i4i−4i4i00-44-440000000000000000000000000000000000000000000000
χ624-44-44-400−4i4i−4i4i4i−4i4i−4i00-44-440000000000000000000000000000000000000000000000
χ634-44-4-44004i−4i−4i4i−4i4i4i−4i00-444-40000000000000000000000000000000000000000000000
χ644-44-4-4400−4i4i4i−4i4i−4i−4i4i00-444-40000000000000000000000000000000000000000000000
χ6588-8-80000000000008-800000000000000000000000000000000000000000000000000
χ6688-8-8000000000000-8800000000000000000000000000000000000000000000000000
χ678-8-88008i−8i000000000000000000000000000000000000000000000000000000000000
χ688-8-8800−8i8i000000000000000000000000000000000000000000000000000000000000

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