Finite Group Databasebeta

← Group #263109

Character table — Group #263109

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444444448888888161616161616161616161616161616161616161616161616
order12222244444444444448888882488888244444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-11-111-1-111-11-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-11-111-1-111-1-11111-1-1
χ91111111111111-1-11-1-11111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ101111111111111-1-11-1-11111111-1-1-1-11-1-111-11-1-1-1-11-11111-1-1-1-1-1-11111
χ111111111111111-1-11-1-11111111-1-1-1-11-1-1-1-11-11111-11-1-1-1-1-1-1-1-1111111
χ121111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ131111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1111-11111-1-1-1111-1-111-1-1-1-1-1-111
χ141111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1111-1-1111-1-1-1-1-1-111-1-1111111-1-1
χ151111111111111-1-11-1-11-1-1-1-1-1-1-1-111-111-111-1-1-1111111-1-1-1-111-1-111-1-1
χ161111111111111-1-11-1-11-1-1-1-1-1-1-1-111-111-11-1-1-1-1111-1-1-11111-1-111-1-111
χ172222222-2-2222-222-222-22222-2-2-2-2-2-2-222000000000000000000000000
χ182222222-2-2222-222-222-2-2-2-2-222-2-2222-2-2000000000000000000000000
χ192222222-2-2222-2-2-2-2-2-2-22222-2-22222-2-2-2000000000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-2-2-22222-2-2222000000000000000000000000
χ212222-2-22222-2-2-222-2-2-220000002-200000002000000-2002-20000000000
χ222222-2-22222-2-2-222-2-2-220000002-20000000-2000000200-220000000000
χ232222-2-22222-2-2-2-2-2-2222000000-2200000002000000-200-220000000000
χ242222-2-22222-2-2-2-2-2-2222000000-220000000-20000002002-20000000000
χ252222-2-22-2-22-2-22222-2-2-2000000-220000000000000002i−2i0000002i−2i0000
χ262222-2-22-2-22-2-22222-2-2-2000000-22000000000000000−2i2i000000−2i2i0000
χ272222-2-22-2-22-2-22-2-2222-20000002-20000000000000002i−2i000000−2i2i0000
χ282222-2-22-2-22-2-22-2-2222-20000002-2000000000000000−2i2i0000002i−2i0000
χ292222-2-2-222-222-200200-222-2-2220000-200220-20000-2000000000000000
χ302222-2-2-222-222-200200-222-2-2220000-200-2-20200002000000000000000
χ312222-2-2-222-222-200200-2-2-222-2-200002002-20-200002000000000000000
χ322222-2-2-222-222-200200-2-2-222-2-20000200-22020000-2000000000000000
χ332222-2-2-2-2-2-222200-200222-2-2-2-2000020000002-22-20000000000000000
χ342222-2-2-2-2-2-222200-200222-2-2-2-200002000000-22-220000000000000000
χ352222-2-2-2-2-2-222200-2002-2-222220000-20000002-2-220000000000000000
χ362222-2-2-2-2-2-222200-2002-2-222220000-2000000-222-20000000000000000
χ372-22-22-2-2002-2202i−2i02i−2i02i−2i2i−2i00000002-200000000000000i2−i22−2002−2i2−i2
χ382-22-22-2-2002-2202i−2i02i−2i02i−2i2i−2i00000002-200000000000000−i2i2−2200−22−i2i2
χ392-22-22-2-2002-2202i−2i02i−2i0−2i2i−2i2i0000000-2200000000000000i2−i2−22002−2−i2i2
χ402-22-22-2-2002-2202i−2i02i−2i0−2i2i−2i2i0000000-2200000000000000−i2i22−200−22i2−i2
χ412-22-22-2-2002-220−2i2i0−2i2i02i−2i2i−2i0000000-2200000000000000i2−i22−200−22−i2i2
χ422-22-22-2-2002-220−2i2i0−2i2i02i−2i2i−2i0000000-2200000000000000−i2i2−22002−2i2−i2
χ432-22-22-2-2002-220−2i2i0−2i2i0−2i2i−2i2i00000002-200000000000000i2−i2−2200−22i2−i2
χ442-22-22-2-2002-220−2i2i0−2i2i0−2i2i−2i2i00000002-200000000000000−i2i22−2002−2−i2i2
χ45444444-444-4-4-4400-400-40000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4-40040040000000000000000000000000000000000000
χ474-44-44-4400-44-40000000000000004-4000000000000000000000000000
χ484-44-44-4400-44-4000000000000000-44000000000000000000000000000
χ494-44-4-44400-4-4400000004i−4i−4i4i000000000000000000000000000000000
χ504-44-4-44400-4-440000000−4i4i4i−4i000000000000000000000000000000000
χ514-44-4-44-40044-404i−4i0−4i4i00000000000000000000000000000000000000
χ524-44-4-44-40044-40−4i4i04i−4i00000000000000000000000000000000000000
χ5388-8-80008-800000000000000000000000000000000000000000000000
χ5488-8-8000-8800000000000000000000000000000000000000000000000
χ558-8-8800000000000000000004i2−4i20000000000000000000000000000000
χ568-8-880000000000000000000−4i24i20000000000000000000000000000000

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