Finite Group Databasebeta

← Group #454841

Character table — Group #454841

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ511111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1
χ9111111111111111111-1-111-1-1-1-111-1-111111-1-11-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-111-1-1-1-111-1-11111-111-111-1-111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-111-1-11111-1-111
χ12111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111-1-1111111
χ14111111111111111111-1-1-1-111-1-1-1-1111111-111-11111-1-111-1-1-1-111-1-1-1-1
χ15111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111
χ17222222-2-2-2-2222-22-2-2-2220000-2-200000000000000002i−2i0000002i−2i0000
χ18222222-2-2-2-2222-22-2-2-2220000-2-20000000000000000−2i2i000000−2i2i0000
χ19222222-2-2-2-2222-22-2-2-2-2-200002200000000000000002i−2i000000−2i2i0000
χ20222222-2-2-2-2222-22-2-2-2-2-20000220000000000000000−2i2i0000002i−2i0000
χ21222222-2-2-2-2-2-2-22-2222002-200002-2000000200-20000002-20000000000
χ22222222-2-2-2-2-2-2-22-2222002-200002-2000000-2002000000-220000000000
χ23222222-2-2-2-2-2-2-22-222200-220000-22000000200-2000000-220000000000
χ24222222-2-2-2-2-2-2-22-222200-220000-22000000-20020000002-20000000000
χ252222-2-22-22-22-2-2-2222-22-22-2222-2-22-2-200000000000000000000000000
χ262222-2-22-22-22-2-2-2222-22-2-22-2-22-22-22200000000000000000000000000
χ272222-2-22-22-22-2-2-2222-2-222-2-2-2-22-222200000000000000000000000000
χ282222-2-22-22-22-2-2-2222-2-22-2222-222-2-2-200000000000000000000000000
χ292222-2-2-22-222-2-222-2-222-20000-22000022-2-2000000000000002-2000000
χ302222-2-2-22-222-2-222-2-222-20000-220000-2-22200000000000000-22000000
χ312222-2-2-22-222-2-222-2-22-2200002-2000022-2-200000000000000-22000000
χ322222-2-2-22-222-2-222-2-22-2200002-20000-2-222000000000000002-2000000
χ332222-2-2-22-22-222-2-222-200220000-2-200000002-20000000000000002-200
χ342222-2-2-22-22-222-2-222-200220000-2-20000000-22000000000000000-2200
χ352222-2-2-22-22-222-2-222-200-2-200002200000002-2000000000000000-2200
χ362222-2-2-22-22-222-2-222-200-2-20000220000000-220000000000000002-200
χ372-22-22-2-222-222-2-2-2-22200002i−2i00002i−2i000000002i−2i2-200000000000000
χ382-22-22-2-222-222-2-2-2-22200002i−2i00002i−2i00000000−2i2i-2200000000000000
χ392-22-22-2-222-222-2-2-2-2220000−2i2i0000−2i2i000000002i−2i-2200000000000000
χ402-22-22-2-222-222-2-2-2-2220000−2i2i0000−2i2i00000000−2i2i2-200000000000000
χ412-22-2-22-2-2222-222-2-22-200002i−2i0000−2i2i00000000000000002i−2i0000002-2
χ422-22-2-22-2-2222-222-2-22-200002i−2i0000−2i2i0000000000000000−2i2i000000-22
χ432-22-2-22-2-2222-222-2-22-20000−2i2i00002i−2i00000000000000002i−2i000000-22
χ442-22-2-22-2-2222-222-2-22-20000−2i2i00002i−2i0000000000000000−2i2i0000002-2
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-4-44-44-4-4444-4-4-4400000000000000000000000000000000000000
χ474-44-44-44-4-4444-44-44-4-400000000000000000000000000000000000000
χ484-44-44-44-4-44-4-44-44-44400000000000000000000000000000000000000
χ494-44-44-4-444-4-4-44444-4-400000000000000000000000000000000000000
χ504-44-4-4444-4-44-44-4-44-4400000000000000000000000000000000000000
χ514-44-4-4444-4-4-44-444-44-400000000000000000000000000000000000000
χ524-44-4-44-4-444-44-4-444-4400000000000000000000000000000000000000
χ5388-8-800000000000000000000000000004-40000000000000000000000
χ5488-8-80000000000000000000000000000-440000000000000000000000
χ558-8-88000000000000000000000000004i−4i000000000000000000000000
χ568-8-8800000000000000000000000000−4i4i000000000000000000000000

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