Finite Group Databasebeta

← Group #263104

Character table — Group #263104

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444444448888888161616161616161616161616161616161616161616161616
order12222244444422444448888884488888224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1111-111-1-111-1-111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-11-1-111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ9111111111111-1-111-1-11111111-1-11-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-1
χ10111111111111-1-111-1-11111111-1-11-1-1-1-11-111-1-11-1-1-11111-1-1-1-1-1-11111
χ11111111111111-1-111-1-11111111-1-11-1-1-1-1-11-1-111-1111-1-1-1-111-1-1-1-11111
χ12111111111111-1-111-1-11111111-1-11-1-1-1-1-1-1-1-111-111-11111-1-11111-1-1-1-1
χ13111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-111
χ14111111111111-1-111-1-11-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111-1-11111-1-1
χ15111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1111-1-1-111111-1-1-1-1-1-11111-1-1
χ16111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-1111111-1-1-1-111
χ17222222-2222-2222-2-222-222-2-2-2-2-2-2222-2-2000000000000000000000000
χ18222222-2222-2222-2-222-2-2-22222-2-2-2-2-222000000000000000000000000
χ19222222-2222-22-2-2-2-2-2-2-222-2-2-2-2222-2-222000000000000000000000000
χ20222222-2222-22-2-2-2-2-2-2-2-2-2222222-222-2-2000000000000000000000000
χ212222-2-2222-22-222-2-2-2-22000000-2200000020000000-2002-20000000000
χ222222-2-2222-22-222-2-2-2-22000000-22000000-20000000200-220000000000
χ232222-2-2222-22-2-2-2-2-22220000002-200000020000000-200-220000000000
χ242222-2-2222-22-2-2-2-2-22220000002-2000000-200000002002-20000000000
χ252222-2-22-2-2222002-200-22222-2-200-20000202-200-200000000000000000
χ262222-2-22-2-2222002-200-22222-2-200-20000-20-2200200000000000000000
χ272222-2-22-2-2222002-200-2-2-2-2-222002000020-2200-200000000000000000
χ282222-2-22-2-2222002-200-2-2-2-2-2220020000-202-200200000000000000000
χ292222-2-2-222-2-2-22222-2-2-20000002-20000000000000002i−2i002i−2i00000000
χ302222-2-2-222-2-2-22222-2-2-20000002-2000000000000000−2i2i00−2i2i00000000
χ312222-2-2-222-2-2-2-2-22222-2000000-220000000000000002i−2i00−2i2i00000000
χ322222-2-2-222-2-2-2-2-22222-2000000-22000000000000000−2i2i002i−2i00000000
χ332222-2-2-2-2-22-2200-2200222-2-22200-2000000002-202-2000000000000000
χ342222-2-2-2-2-22-2200-2200222-2-22200-200000000-220-22000000000000000
χ352222-2-2-2-2-22-2200-22002-2-222-2-2002000000002-20-22000000000000000
χ362222-2-2-2-2-22-2200-22002-2-222-2-200200000000-2202-2000000000000000
χ372-2-222-20-2220-22-2002-20002i−2i2i−2i000002i−2i00000000000000002−2i2−i22−2i2−i2
χ382-2-222-20-2220-22-2002-20002i−2i2i−2i000002i−2i0000000000000000−22−i2i2−22−i2i2
χ392-2-222-20-2220-22-2002-2000−2i2i−2i2i00000−2i2i00000000000000002−2−i2i22−2−i2i2
χ402-2-222-20-2220-22-2002-2000−2i2i−2i2i00000−2i2i0000000000000000−22i2−i2−22i2−i2
χ412-2-222-20-2220-2-2200-220002i−2i2i−2i00000−2i2i00000000000000002−2i2−i2−22−i2i2
χ422-2-222-20-2220-2-2200-220002i−2i2i−2i00000−2i2i0000000000000000−22−i2i22−2i2−i2
χ432-2-222-20-2220-2-2200-22000−2i2i−2i2i000002i−2i00000000000000002−2−i2i2−22i2−i2
χ442-2-222-20-2220-2-2200-22000−2i2i−2i2i000002i−2i0000000000000000−22i2−i22−2−i2i2
χ454444444-4-4-44-400-4400-40000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4004-40040000000000000000000000000000000000000
χ474-4-444-404-4-40400000000000000004i−4i00000000000000000000000000
χ484-4-444-404-4-4040000000000000000−4i4i00000000000000000000000000
χ494-4-44-4404-440-40000000004i−4i−4i4i0000000000000000000000000000000
χ504-4-44-4404-440-4000000000−4i4i4i−4i0000000000000000000000000000000
χ514-4-44-440-44-4044-400-4400000000000000000000000000000000000000
χ524-4-44-440-44-404-44004-400000000000000000000000000000000000000
χ5388-8-800000000000000042−4200000000000000000000000000000000000
χ5488-8-8000000000000000−424200000000000000000000000000000000000
χ558-88-8008000-8000000000000000000000000000000000000000000000
χ568-88-800-80008000000000000000000000000000000000000000000000

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