Finite Group Databasebeta

← Group #464644

Character table — Group #464644

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222224444444488882244888888222244444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-1-1-11-1111-11-11-1-1-111-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-11-11-11-111-1-111-1-1-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1111-11-11-11-1-111-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-11-1111-1-1111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111-111-111-1-11-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-111-11111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-200002-22-200000000000000000000002-22-20000
χ182222222222-2-2-2-2-2-2-2-200002-22-20000000000000000000000-22-220000
χ192222222222-2-2-2-2-2-2-2-20000-22-2200000000000000000000002-2-220000
χ202222222222-2-2-2-2-2-2-2-20000-22-220000000000000000000000-222-20000
χ2122222-22-2-2-222-2-2-22-2222-2-200002-2000000002200-2-200000000000000
χ2222222-22-2-2-222-2-2-22-2222-2-200002-200000000-2-2002200000000000000
χ2322222-22-2-2-222-2-2-22-22-2-2220000-22000000002-200-2200000000000000
χ2422222-22-2-2-222-2-2-22-22-2-2220000-2200000000-22002-200000000000000
χ252222-22-22-2-22-22-2-2-22222-2-20000-220000220000-2-20000000000000000
χ262222-22-22-2-22-22-2-2-22222-2-20000-220000-2-20000220000000000000000
χ272222-22-22-2-22-22-2-2-222-2-22200002-200002-20000-220000000000000000
χ282222-22-22-2-22-22-2-2-222-2-22200002-20000-2200002-20000000000000000
χ292222-2-2-2-2222-2-222-2-2222222-2-22-2-222-2-2000000000000000000000000
χ302222-2-2-2-2222-2-222-2-222222-222-2-2-2-2-222000000000000000000000000
χ312222-2-2-2-2222-2-222-2-22-2-2-2-22-2-2222-2-222000000000000000000000000
χ322222-2-2-2-2222-2-222-2-22-2-2-2-2-222-22222-2-2000000000000000000000000
χ332222-2-2-2-222-222-2-222-2000022-2-2000000000000000000000000002-22-2
χ342222-2-2-2-222-222-2-222-2000022-2-200000000000000000000000000-22-22
χ352222-2-2-2-222-222-2-222-20000-2-222000000000000000000000000002-2-22
χ362222-2-2-2-222-222-2-222-20000-2-22200000000000000000000000000-222-2
χ372-22-22-2-222-222-22-2-22-200000000002i−2i2i−2i002-200000000002i−2i00000000
χ382-22-22-2-222-222-22-2-22-200000000002i−2i2i−2i00-220000000000−2i2i00000000
χ392-22-22-2-222-222-22-2-22-20000000000−2i2i−2i2i002-20000000000−2i2i00000000
χ402-22-22-2-222-222-22-2-22-20000000000−2i2i−2i2i00-2200000000002i−2i00000000
χ412-22-2-222-22-22-222-22-2-200000000002i−2i−2i2i00000000002i−2i2-20000000000
χ422-22-2-222-22-22-222-22-2-200000000002i−2i−2i2i0000000000−2i2i-220000000000
χ432-22-2-222-22-22-222-22-2-20000000000−2i2i2i−2i00000000002i−2i-220000000000
χ442-22-2-222-22-22-222-22-2-20000000000−2i2i2i−2i0000000000−2i2i2-20000000000
χ4544444-44-4-4-4-4-4444-44-400000000000000000000000000000000000000
χ464444-44-44-4-4-44-4444-4-400000000000000000000000000000000000000
χ474-44-444-4-4-44444-44-4-4-400000000000000000000000000000000000000
χ484-44-444-4-4-44-4-4-44-444400000000000000000000000000000000000000
χ494-44-44-4-444-4-4-44-444-4400000000000000000000000000000000000000
χ504-44-4-444-44-4-44-4-44-44400000000000000000000000000000000000000
χ514-44-4-4-444-444-4-4-4444-400000000000000000000000000000000000000
χ524-44-4-4-444-44-4444-4-4-4400000000000000000000000000000000000000
χ5388-8-800000000000000004i2−4i20000000000000000000000000000000000
χ5488-8-80000000000000000−4i24i20000000000000000000000000000000000
χ558-8-880000000000000042−42000000000000000000000000000000000000
χ568-8-8800000000000000−4242000000000000000000000000000000000000

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