Finite Group Databasebeta

← Group #455074

Character table — Group #455074

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12222222224444444422224444444488882244444488888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1111-11-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1111111-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1111-1-111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-11-1-11111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-2000022-2-200000000000000000000002i−2i002i−2i00
χ182222222222-2-2-2-2-2-2-2-2000022-2-20000000000000000000000−2i2i00−2i2i00
χ192222222222-2-2-2-2-2-2-2-20000-2-22200000000000000000000002i−2i00−2i2i00
χ202222222222-2-2-2-2-2-2-2-20000-2-2220000000000000000000000−2i2i002i−2i00
χ21222222-2-2-2-22-2-22-222-20000000022-2-2000002000-200002-20000000000
χ22222222-2-2-2-22-2-22-222-20000000022-2-200000-200020000-220000000000
χ23222222-2-2-2-22-2-22-222-200000000-2-222000002000-20000-220000000000
χ24222222-2-2-2-22-2-22-222-200000000-2-22200000-2000200002-20000000000
χ252222-2-222-2-2-22-22-22-22000000002-22-200002000-200000002-200000000
χ262222-2-222-2-2-22-22-22-22000000002-22-20000-200020000000-2200000000
χ272222-2-222-2-2-22-22-22-2200000000-22-2200002000-20000000-2200000000
χ282222-2-222-2-2-22-22-22-2200000000-22-220000-2000200000002-200000000
χ292222-2-2-2-22222-2-2-2-22200002-22-20000000000000000000000002-2002-2
χ302222-2-2-2-22222-2-2-2-22200002-22-2000000000000000000000000-2200-22
χ312222-2-2-2-22222-2-2-2-2220000-22-220000000000000000000000002-200-22
χ322222-2-2-2-22222-2-2-2-2220000-22-22000000000000000000000000-22002-2
χ332222-2-2-2-222-2-22222-2-222-2-22-2-222-2-2200000000000000000000000000
χ342222-2-2-2-222-2-22222-2-222-2-2-222-2-222-200000000000000000000000000
χ352222-2-2-2-222-2-22222-2-2-2-2222-2-22-222-200000000000000000000000000
χ362222-2-2-2-222-2-22222-2-2-2-222-222-22-2-2200000000000000000000000000
χ372-2-222-22-22-222-2-222-2-22-22-20000000000000000002i−2i2i−2i000000000000
χ382-2-222-22-22-222-2-222-2-22-22-2000000000000000000−2i2i−2i2i000000000000
χ392-2-222-22-22-222-2-222-2-2-22-220000000000000000002i−2i−2i2i000000000000
χ402-2-222-22-22-222-2-222-2-2-22-22000000000000000000−2i2i2i−2i000000000000
χ412-2-22-22-222-2-2-2-2-222222-2-220000000022-2-2002-2000000000000000000
χ422-2-22-22-222-2-2-2-2-222222-2-2200000000-2-22200-22000000000000000000
χ432-2-22-22-222-2-2-2-2-22222-222-20000000022-2-200-22000000000000000000
χ442-2-22-22-222-2-2-2-2-22222-222-200000000-2-222002-2000000000000000000
χ45444444-4-4-4-4-444-44-4-4400000000000000000000000000000000000000
χ464444-4-444-4-44-44-44-44-400000000000000000000000000000000000000
χ474-4-444-44-44-4-4-444-4-44400000000000000000000000000000000000000
χ484-4-444-4-44-444-44-4-44-4400000000000000000000000000000000000000
χ494-4-444-4-44-44-44-444-44-400000000000000000000000000000000000000
χ504-4-44-444-4-444-4-444-4-4400000000000000000000000000000000000000
χ514-4-44-444-4-44-444-4-444-400000000000000000000000000000000000000
χ524-4-44-44-444-44444-4-4-4-400000000000000000000000000000000000000
χ5388-8-8000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5488-8-800000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ558-88-8000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ568-88-800000000000000000000000000−2i22i22i2−2i20000000000000000000000

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