Finite Group Databasebeta

← Group #463537

Character table — Group #463537

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222224444444444442244444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11-1-111-1-1-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-111-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-11111-1-111-1-111
χ1722222-2-22-2-2222-2-2-22-200000000002i2i−2i−2i00200-2002i−2i00000000000000
χ1822222-2-22-2-2222-2-2-22-200000000002i2i−2i−2i00-200200−2i2i00000000000000
χ1922222-2-22-2-2222-2-2-22-20000000000−2i−2i2i2i00200-200−2i2i00000000000000
χ2022222-2-22-2-2222-2-2-22-20000000000−2i−2i2i2i00-2002002i−2i00000000000000
χ212222-22-2-22-222-222-2-2-222220000-2-2000000000000002i−2i00000000002i−2i
χ222222-22-2-22-222-222-2-2-222220000-2-200000000000000−2i2i0000000000−2i2i
χ232222-22-2-22-222-222-2-2-2-2-2-2-2000022000000000000002i−2i0000000000−2i2i
χ242222-22-2-22-222-222-2-2-2-2-2-2-200002200000000000000−2i2i00000000002i−2i
χ252222-22-2-22-2-2-22-2-2222000022-2-20000000002-2000000000002-2000000
χ262222-22-2-22-2-2-22-2-2222000022-2-2000000000-2200000000000-22000000
χ272222-22-2-22-2-2-22-2-22220000-2-2220000000002-200000000000-22000000
χ282222-22-2-22-2-2-22-2-22220000-2-222000000000-22000000000002-2000000
χ292-22-2222-2-2-22-222-22-2-200002-22-20000002-200000000002-20000000000
χ302-22-2222-2-2-22-222-22-2-200002-22-2000000-220000000000-220000000000
χ312-22-2222-2-2-22-222-22-2-20000-22-220000002-20000000000-220000000000
χ322-22-2222-2-2-22-222-22-2-20000-22-22000000-2200000000002-20000000000
χ332-22-2222-2-2-2-22-2-22-2222i2i−2i−2i00002i−2i00000000002i−2i0000000000002-200
χ342-22-2222-2-2-2-22-2-22-2222i2i−2i−2i00002i−2i0000000000−2i2i000000000000-2200
χ352-22-2222-2-2-2-22-2-22-222−2i−2i2i2i0000−2i2i00000000002i−2i000000000000-2200
χ362-22-2222-2-2-2-22-2-22-222−2i−2i2i2i0000−2i2i0000000000−2i2i0000000000002-200
χ372-22-2-22-22-22-222-222-2-22i2i−2i−2i2-2-22−2i2i2i−2i2i−2i000000000000000000000000
χ382-22-2-22-22-22-222-222-2-22i2i−2i−2i-222-2−2i2i−2i2i−2i2i000000000000000000000000
χ392-22-2-22-22-22-222-222-2-2−2i−2i2i2i2-2-222i−2i−2i2i−2i2i000000000000000000000000
χ402-22-2-22-22-22-222-222-2-2−2i−2i2i2i-222-22i−2i2i−2i2i−2i000000000000000000000000
χ412-22-2-2-2222-2-2222-2-2-2200000000002-2-22000000000000002i−2i002i−2i0000
χ422-22-2-2-2222-2-2222-2-2-2200000000002-2-2200000000000000−2i2i00−2i2i0000
χ432-22-2-2-2222-2-2222-2-2-220000000000-222-2000000000000002i−2i00−2i2i0000
χ442-22-2-2-2222-2-2222-2-2-220000000000-222-200000000000000−2i2i002i−2i0000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ4644444-4-44-4-4-4-4-4444-4400000000000000000000000000000000000000
χ474444-4-44-4-4444-4-4-44-4400000000000000000000000000000000000000
χ484444-4-44-4-44-4-4444-44-400000000000000000000000000000000000000
χ494-44-44-4-4-4444-44-44-4-4400000000000000000000000000000000000000
χ504-44-44-4-4-444-44-44-444-400000000000000000000000000000000000000
χ514-44-4-44-44-444-4-44-4-44400000000000000000000000000000000000000
χ524-44-4-4-4444-44-4-4-4444-400000000000000000000000000000000000000
χ5388-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5488-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000
χ558-8-88000000000000004-4-440000000000000000000000000000000000
χ568-8-8800000000000000-444-40000000000000000000000000000000000

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