Finite Group Databasebeta

← Group #454512

Character table — Group #454512

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422444444444488882444444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-111-1-1-1-111-1-111111-1111-11111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-111-1-1-1-111-1-11111-11-1-1-11-1-111-1-1-1-11111-1-111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ12111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-11111111-11-1-1-1-1-1-1-111-1-1-1-1111111
χ14111111111111111111-1-1-1-111-1-1-1-1111111-11-111111-1-111-1-111-1-1-1-1-1-1
χ15111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111111-1-111-1-111-1-1-1-1
χ16111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111
χ17222222-2-2-2-222-2-2-2-222222-22-2-2-22-22-200000000000000000000000000
χ18222222-2-2-2-222-2-2-2-22222-22-22-2-2-22-2200000000000000000000000000
χ19222222-2-2-2-222-2-2-2-222-2-22-2-22222-2-2200000000000000000000000000
χ20222222-2-2-2-222-2-2-2-222-2-2-222-222-222-200000000000000000000000000
χ212222-2-22-22-22-22-22-22-20000220000-2-200000002-20000000002-2000000
χ222222-2-22-22-22-22-22-22-20000220000-2-20000000-22000000000-22000000
χ232222-2-22-22-22-22-22-22-20000-2-200002200000002-2000000000-22000000
χ242222-2-22-22-22-22-22-22-20000-2-20000220000000-220000000002-2000000
χ252222-2-22-22-2-22-22-22-22002-20000-2200000002000-2000000000000002-2
χ262222-2-22-22-2-22-22-22-22002-20000-220000000-2000200000000000000-22
χ272222-2-22-22-2-22-22-22-2200-2200002-200000002000-200000000000000-22
χ282222-2-22-22-2-22-22-22-2200-2200002-20000000-20002000000000000002-2
χ292222-2-2-22-222-2-22-222-200002-20000-22000020-200000000000002-20000
χ302222-2-2-22-222-2-22-222-200002-20000-220000-2020000000000000-220000
χ312222-2-2-22-222-2-22-222-20000-2200002-2000020-20000000000000-220000
χ322222-2-2-22-222-2-22-222-20000-2200002-20000-20200000000000002-20000
χ332222-2-2-22-22-222-22-2-2200220000-2-20000000000002-200000000002-200
χ342222-2-2-22-22-222-22-2-2200220000-2-2000000000000-220000000000-2200
χ352222-2-2-22-22-222-22-2-2200-2-20000220000000000002-20000000000-2200
χ362222-2-2-22-22-222-22-2-2200-2-2000022000000000000-2200000000002-200
χ372-22-22-222-2-2-22-2-2222-22-200002-200000000000000002i−2i2i−2i0000000000
χ382-22-22-222-2-2-22-2-2222-22-200002-20000000000000000−2i2i−2i2i0000000000
χ392-22-22-222-2-2-22-2-2222-2-220000-2200000000000000002i−2i−2i2i0000000000
χ402-22-22-222-2-2-22-2-2222-2-220000-220000000000000000−2i2i2i−2i0000000000
χ412-22-22-2-2-222-2222-2-22-22-20000-2200002i2i−2i−2i0000000000002i−2i00000000
χ422-22-22-2-2-222-2222-2-22-22-20000-220000−2i−2i2i2i000000000000−2i2i00000000
χ432-22-22-2-2-222-2222-2-22-2-2200002-200002i2i−2i−2i000000000000−2i2i00000000
χ442-22-22-2-2-222-2222-2-22-2-2200002-20000−2i−2i2i2i0000000000002i−2i00000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ46444444-4-4-4-4-4-44444-4-400000000000000000000000000000000000000
χ474-44-44-444-4-44-444-4-4-4400000000000000000000000000000000000000
χ484-44-44-4-4-4444-4-4-444-4400000000000000000000000000000000000000
χ494-44-4-444-4-44444-4-44-4-400000000000000000000000000000000000000
χ504-44-4-444-4-44-4-4-444-44400000000000000000000000000000000000000
χ514-44-4-44-444-444-444-4-4-400000000000000000000000000000000000000
χ524-44-4-44-444-4-4-44-4-444400000000000000000000000000000000000000
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).