Finite Group Databasebeta

← Group #465975

Character table — Group #465975

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444444444444444488882444444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-1-11-111-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111-1111-111-1-111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111111111-1-1-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-111-11111-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-111-1-11-11-1-1-1-111-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-11111-1-1-1-111-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-11111-1-1-1-111-1-111
χ1722222-22-2-2-2222-22-2-2-200002i2i−2i−2i000000000020000-20000000000002i−2i
χ1822222-22-2-2-2222-22-2-2-200002i2i−2i−2i0000000000-200002000000000000−2i2i
χ1922222-22-2-2-2222-22-2-2-20000−2i−2i2i2i000000000020000-2000000000000−2i2i
χ2022222-22-2-2-2222-22-2-2-20000−2i−2i2i2i0000000000-2000020000000000002i−2i
χ2122222-22-2-2-2-2-2-22-222222-2-2000000000000200000-20000000002-20000
χ2222222-22-2-2-2-2-2-22-222222-2-2000000000000-2000002000000000-220000
χ2322222-22-2-2-2-2-2-22-2222-2-222000000000000200000-2000000000-220000
χ2422222-22-2-2-2-2-2-22-2222-2-222000000000000-20000020000000002-20000
χ252222-2-2-222-22-2-2-2222-20000000022-2-200000202-2-20000000000000000
χ262222-2-2-222-22-2-2-2222-20000000022-2-200000-20-2220000000000000000
χ272222-2-2-222-22-2-2-2222-200000000-2-2220000020-22-20000000000000000
χ282222-2-2-222-22-2-2-2222-200000000-2-22200000-202-220000000000000000
χ292-22-222-22-2-222-2-2-2-222000000002i−2i2i−2i2i2i−2i−2i000000000000002-2000000
χ302-22-222-22-2-222-2-2-2-222000000002i−2i2i−2i−2i−2i2i2i00000000000000-22000000
χ312-22-222-22-2-222-2-2-2-22200000000−2i2i−2i2i2i2i−2i−2i00000000000000-22000000
χ322-22-222-22-2-222-2-2-2-22200000000−2i2i−2i2i−2i−2i2i2i000000000000002-2000000
χ332-22-2-222-22-22-22-2-22-2200002i−2i2i−2i0000000000000000002-20000002i−2i00
χ342-22-2-222-22-22-22-2-22-2200002i−2i2i−2i000000000000000000-22000000−2i2i00
χ352-22-2-222-22-22-22-2-22-220000−2i2i−2i2i0000000000000000002-2000000−2i2i00
χ362-22-2-222-22-22-22-2-22-220000−2i2i−2i2i000000000000000000-220000002i−2i00
χ372-22-2-222-22-2-22-222-22-22i−2i2i−2i000000000000000000002i−2i002-200000000
χ382-22-2-222-22-2-22-222-22-22i−2i2i−2i00000000000000000000−2i2i00-2200000000
χ392-22-2-222-22-2-22-222-22-2−2i2i−2i2i000000000000000000002i−2i00-2200000000
χ402-22-2-222-22-2-22-222-22-2−2i2i−2i2i00000000000000000000−2i2i002-200000000
χ412-22-2-2-222-222-222-2-22-22i−2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000
χ422-22-2-2-222-222-222-2-22-22i−2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000
χ432-22-2-2-222-222-222-2-22-2−2i2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000
χ442-22-2-2-222-222-222-2-22-2−2i2i2i−2i-222-22i−2i−2i2i00000000000000000000000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-44-4-4-444-4-444-4-4400000000000000000000000000000000000000
χ474444-44-4-4-44-444-4-444-400000000000000000000000000000000000000
χ484444-4-4-444-4-4444-4-4-4400000000000000000000000000000000000000
χ494-44-444-44-4-4-4-44444-4-400000000000000000000000000000000000000
χ504-44-44-4-4-44444-44-44-4-400000000000000000000000000000000000000
χ514-44-44-4-4-444-4-44-44-44400000000000000000000000000000000000000
χ524-44-4-4-444-44-44-4-444-4400000000000000000000000000000000000000
χ5388-8-80000000000000000000000000022−2222−220000000000000000000000
χ5488-8-800000000000000000000000000−2222−22220000000000000000000000
χ558-8-88000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ568-8-8800000000000000000000000000−2i22i22i2−2i20000000000000000000000

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