Finite Group Databasebeta

← Group #263106

Character table — Group #263106

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444444448888888161616161616161616161616161616161616161616161616
order12222244444422444448888884488888222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-11-1-11-1-1-11111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-11111-1-1
χ9111111111111-1-11-1-111111111-1-11-1-1-1-111-11-1-1111-1-1-1-1-1-1-1-1-1111111
χ10111111111111-1-11-1-111111111-1-11-1-1-1-111-1-1-1-1-111-111111111-1-1-1-1-1-1
χ11111111111111-1-11-1-111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-1-1-1
χ12111111111111-1-11-1-111111111-1-11-1-1-1-1-1-11-111-1-1-111111-1-1-1-1-1-11111
χ13111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1111111-111-11-1-1111-1-1-1-111-1-111-1-1
χ14111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-11-1-11111-1-111-1-111
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-111-11111-111-1-111-1-1-1-1-1-111
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-11-111-1-1-111-1-1111111-1-1
χ17222222222-2-2222-222-2-222-2-2-2-2-2-2222-2-2000000000000000000000000
χ18222222222-2-2222-222-2-2-2-22222-2-2-2-2-222000000000000000000000000
χ19222222222-2-22-2-2-2-2-2-2-222-2-2-2-2222-2-222000000000000000000000000
χ20222222222-2-22-2-2-2-2-2-2-2-2-2222222-222-2-2000000000000000000000000
χ212222-2-222-222-222-2-2-2-22000000-2200000000200-2000002-20000000000
χ222222-2-222-222-222-2-2-2-22000000-2200000000-200200000-220000000000
χ232222-2-222-222-2-2-2-222-220000002-200000000200-200000-220000000000
χ242222-2-222-222-2-2-2-222-220000002-200000000-2002000002-20000000000
χ252222-2-222-2-2-2-2222-2-22-20000002-20000000000000002i−2i0000002i−2i0000
χ262222-2-222-2-2-2-2222-2-22-20000002-2000000000000000−2i2i000000−2i2i0000
χ272222-2-222-2-2-2-2-2-22222-2000000-220000000000000002i−2i000000−2i2i0000
χ282222-2-222-2-2-2-2-2-22222-2000000-22000000000000000−2i2i0000002i−2i0000
χ292222-2-2-2-2222200200-2-22222-2-200-200000020-2-2000200000000000000
χ302222-2-2-2-2222200200-2-22222-2-200-2000000-2022000-200000000000000
χ312222-2-2-2-2222200200-2-2-2-2-2-222002000000202-2000-200000000000000
χ322222-2-2-2-2222200200-2-2-2-2-2-222002000000-20-22000200000000000000
χ332222-2-2-2-22-2-2200-2002222-2-22200-200002-2000002-2000000000000000
χ342222-2-2-2-22-2-2200-2002222-2-22200-20000-2200000-22000000000000000
χ352222-2-2-2-22-2-2200-20022-2-222-2-200200002-200000-22000000000000000
χ362222-2-2-2-22-2-2200-20022-2-222-2-20020000-22000002-2000000000000000
χ372-22-22-2-22200-22-202-200002i−2i2i−2i000002i−2i000000000000002−2i2−i2002−2i2−i2
χ382-22-22-2-22200-22-202-200002i−2i2i−2i000002i−2i00000000000000−22−i2i200−22−i2i2
χ392-22-22-2-22200-22-202-20000−2i2i−2i2i00000−2i2i000000000000002−2−i2i2002−2−i2i2
χ402-22-22-2-22200-22-202-20000−2i2i−2i2i00000−2i2i00000000000000−22i2−i200−22i2−i2
χ412-22-22-2-22200-2-220-2200002i−2i2i−2i00000−2i2i000000000000002−2i2−i200−22−i2i2
χ422-22-22-2-22200-2-220-2200002i−2i2i−2i00000−2i2i00000000000000−22−i2i2002−2i2−i2
χ432-22-22-2-22200-2-220-220000−2i2i−2i2i000002i−2i000000000000002−2−i2i200−22i2−i2
χ442-22-22-2-22200-2-220-220000−2i2i−2i2i000002i−2i00000000000000−22i2−i2002−2−i2i2
χ45444444-4-4-444-400-4004-40000000000000000000000000000000000000
χ46444444-4-4-4-4-4-400400-440000000000000000000000000000000000000
χ474-44-44-44-4-400400000000000000004i−4i00000000000000000000000000
χ484-44-44-44-4-40040000000000000000−4i4i00000000000000000000000000
χ494-44-4-444-4400-40000000004i−4i−4i4i0000000000000000000000000000000
χ504-44-4-444-4400-4000000000−4i4i4i−4i0000000000000000000000000000000
χ514-44-4-44-44-40044-40-44000000000000000000000000000000000000000
χ524-44-4-44-44-4004-4404-4000000000000000000000000000000000000000
χ5388-8-80000000000000004i2−4i200000000000000000000000000000000000
χ5488-8-8000000000000000−4i24i200000000000000000000000000000000000
χ558-8-88000008-8000000000000000000000000000000000000000000000
χ568-8-8800000-88000000000000000000000000000000000000000000000

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