Finite Group Databasebeta

← Group #464658

Character table — Group #464658

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422448888888888882222444444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1111-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1-111
χ9111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-11-1-1-111-1-111-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-111111-1-11111-1-1-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111
χ13111111111111111111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-11111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-11-1-11111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-1-111-1-111-1-1
χ1722222-22-2-2-2222-2-22-2-2000000002i2i−2i−2i0000200000-202i−2i000000000000
χ1822222-22-2-2-2222-2-22-2-2000000002i2i−2i−2i0000-20000020−2i2i000000000000
χ1922222-22-2-2-2222-2-22-2-200000000−2i−2i2i2i0000200000-20−2i2i000000000000
χ2022222-22-2-2-2222-2-22-2-200000000−2i−2i2i2i0000-200000202i−2i000000000000
χ2122222-22-2-2-2-2-2-222-222000022-2-20000000002-22000-200000000000000
χ2222222-22-2-2-2-2-2-222-222000022-2-2000000000-22-2000200000000000000
χ2322222-22-2-2-2-2-2-222-2220000-2-2220000000002-2-2000200000000000000
χ2422222-22-2-2-2-2-2-222-2220000-2-222000000000-222000-200000000000000
χ252222-2-2-222-22-2-22-22-2222-2-200000000000000002-200002-20000000000
χ262222-2-2-222-22-2-22-22-2222-2-20000000000000000-220000-220000000000
χ272222-2-2-222-22-2-22-22-22-2-22200000000000000002-20000-220000000000
χ282222-2-2-222-22-2-22-22-22-2-2220000000000000000-2200002-20000000000
χ292-2-2222-22-2-2-22-2-2-22222-22-22-22-22-22-200000000000000000000000000
χ302-2-2222-22-2-2-22-2-2-22222-22-2-22-22-22-2200000000000000000000000000
χ312-2-2222-22-2-2-22-2-2-2222-22-222-22-2-22-2200000000000000000000000000
χ322-2-2222-22-2-2-22-2-2-2222-22-22-22-222-22-200000000000000000000000000
χ332-2-222-2-2-2222-22-2-2-22200002-2-22000000000000000000000000002-22-2
χ342-2-222-2-2-2222-22-2-2-22200002-2-2200000000000000000000000000-22-22
χ352-2-222-2-2-2222-22-2-2-2220000-222-2000000000000000000000000002-2-22
χ362-2-222-2-2-2222-22-2-2-2220000-222-200000000000000000000000000-222-2
χ372-2-222-2-2-222-22-2222-2-2000000002i−2i−2i2i2i2i−2i−2i00000000000000002-20000
χ382-2-222-2-2-222-22-2222-2-2000000002i−2i−2i2i−2i−2i2i2i0000000000000000-220000
χ392-2-222-2-2-222-22-2222-2-200000000−2i2i2i−2i2i2i−2i−2i0000000000000000-220000
χ402-2-222-2-2-222-22-2222-2-200000000−2i2i2i−2i−2i−2i2i2i00000000000000002-20000
χ412-2-22-2-222-22-2-22-222-222-2-220000000000000000000000002-22-2000000
χ422-2-22-2-222-22-2-22-222-222-2-22000000000000000000000000-22-22000000
χ432-2-22-2-222-22-2-22-222-22-222-20000000000000000000000002-2-22000000
χ442-2-22-2-222-22-2-22-222-22-222-2000000000000000000000000-222-2000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-44-4-4-444-4-4-4444-400000000000000000000000000000000000000
χ474444-44-4-4-44-4444-4-4-4400000000000000000000000000000000000000
χ484444-4-4-444-4-444-44-44-400000000000000000000000000000000000000
χ494-4-4444-44-4-44-4444-4-4-400000000000000000000000000000000000000
χ504-4-44-444-44-444-4-44-4-4400000000000000000000000000000000000000
χ514-4-44-444-44-4-4-444-444-400000000000000000000000000000000000000
χ524-4-44-4-444-4444-44-4-44-400000000000000000000000000000000000000
χ5388-8-8000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5488-8-800000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ558-88-80000000000000000000000000022−22−22220000000000000000000000
χ568-88-800000000000000000000000000−222222−220000000000000000000000

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