Finite Group Databasebeta

← Group #263100

Character table — Group #263100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444444448888888161616161616161616161616161616161616161616161616
order12222244444444444448888882488888222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-11-1-11-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-111-111-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-11-1-111-1-111-1-111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-111-1-111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-111-1-1
χ91111111111111-1-11-1-11111111-1-11-1-1-1-111-11-1-11-111-1-1-1-111-1-1-1-11111
χ101111111111111-1-11-1-11111111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ111111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ121111111111111-1-11-1-11111111-1-11-1-1-1-1-1-11-111-11-1-11111-1-1-1-1-1-11111
χ131111111111111-1-11-1-11-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-1-1-11111-1-1
χ141111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1111111-1-1-1-111
χ151111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1111111-1-1-1-111-1-1-1-111
χ161111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-11111-1-11111-1-1
χ17222222-2222-22-222-222-222-2-2-2-2-2-22-2-222000000000000000000000000
χ18222222-2222-22-222-222-2-2-22222-2-2-222-2-2000000000000000000000000
χ19222222-2222-22-2-2-2-2-2-2-222-2-2-2-222222-2-2000000000000000000000000
χ20222222-2222-22-2-2-2-2-2-2-2-2-2222222-2-2-222000000000000000000000000
χ212222-2-2222-22-2-222-2-2-220000002-200000000200-2000002-20000000000
χ222222-2-2222-22-2-222-2-2-220000002-200000000-200200000-220000000000
χ232222-2-2222-22-2-2-2-2-2222000000-2200000000200-200000-220000000000
χ242222-2-2222-22-2-2-2-2-2222000000-2200000000-2002000002-20000000000
χ252222-2-22-2-2222-200200-22222-2-200-200000020-2-2020000000000000000
χ262222-2-22-2-2222-200200-22222-2-200-2000000-20220-20000000000000000
χ272222-2-22-2-2222-200200-2-2-2-2-222002000000202-20-20000000000000000
χ282222-2-22-2-2222-200200-2-2-2-2-222002000000-20-22020000000000000000
χ292222-2-2-222-2-2-22222-2-2-2000000-220000000000000002i−2i002i−2i00000000
χ302222-2-2-222-2-2-22222-2-2-2000000-22000000000000000−2i2i00−2i2i00000000
χ312222-2-2-222-2-2-22-2-2222-20000002-20000000000000002i−2i00−2i2i00000000
χ322222-2-2-222-2-2-22-2-2222-20000002-2000000000000000−2i2i002i−2i00000000
χ332222-2-2-2-2-22-22200-200222-2-22200-200002-20000002-200000000000000
χ342222-2-2-2-2-22-22200-200222-2-22200-20000-22000000-2200000000000000
χ352222-2-2-2-2-22-22200-2002-2-222-2-200200002-2000000-2200000000000000
χ362222-2-2-2-2-22-22200-2002-2-222-2-20020000-220000002-200000000000000
χ372-22-2-2202-220-202i−2i02i−2i0002i−2i2i−2i0002-2000000000000000000i2−i22−22−2i2−i2
χ382-22-2-2202-220-202i−2i02i−2i0002i−2i2i−2i0002-2000000000000000000−i2i2−22−22−i2i2
χ392-22-2-2202-220-202i−2i02i−2i000−2i2i−2i2i000-22000000000000000000i2−i2−222−2−i2i2
χ402-22-2-2202-220-202i−2i02i−2i000−2i2i−2i2i000-22000000000000000000−i2i22−2−22i2−i2
χ412-22-2-2202-220-20−2i2i0−2i2i0002i−2i2i−2i000-22000000000000000000i2−i22−2−22−i2i2
χ422-22-2-2202-220-20−2i2i0−2i2i0002i−2i2i−2i000-22000000000000000000−i2i2−222−2i2−i2
χ432-22-2-2202-220-20−2i2i0−2i2i000−2i2i−2i2i0002-2000000000000000000i2−i2−22−22i2−i2
χ442-22-2-2202-220-20−2i2i0−2i2i000−2i2i−2i2i0002-2000000000000000000−i2i22−22−2−i2i2
χ454444444-4-4-44-4400-400-40000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4-40040040000000000000000000000000000000000000
χ474-44-44-404-4-40404i−4i0−4i4i00000000000000000000000000000000000000
χ484-44-44-404-4-4040−4i4i04i−4i00000000000000000000000000000000000000
χ494-44-44-40-4440-40000000004i−4i−4i4i0000000000000000000000000000000
χ504-44-44-40-4440-4000000000−4i4i4i−4i0000000000000000000000000000000
χ514-44-4-440-44-4040000000000000000004-4000000000000000000000000
χ524-44-4-440-44-404000000000000000000-44000000000000000000000000
χ5388-8-8008000-8000000000000000000000000000000000000000000000
χ5488-8-800-80008000000000000000000000000000000000000000000000
χ558-8-8800000000000000042−4200000000000000000000000000000000000
χ568-8-88000000000000000−424200000000000000000000000000000000000

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