Finite Group Databasebeta

← Group #317502

Character table — Group #317502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244444888888888888888161616161616161616161616161632323232
order12222244444444488224488888888888224444888888884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-111
χ511111111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1111-1-1-1-111111-1-1-11-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1111-1-1-1-11111-11-1-1-1111-1-111-1-111-1-1
χ9111111111111111-1-11111-1-1-1111111111-1-1-11-1-1-1-1-111-1-11-11-1
χ10111111111111111-1-11111-1-1-111111111-11-1-1-11-1-111-1-1-1-1-11-11
χ11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11
χ12111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ13111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-111-1-111-1-1-11-11
χ14111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-111111-1-1-1-11-11-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-11
χ172222222-2-2222-2-2-22222-2-22-2-20000000000-2200000000000000
χ182222222-2-2222-2-2-222-2-2222-2-200000000002-200000000000000
χ192222222-2-2222-2-2-2-2-222-2-2-22200000000002-200000000000000
χ202222222-2-2222-2-2-2-2-2-2-222-2220000000000-2200000000000000
χ21222222-2-2-2-2-2-22-220000000002i2i−2i−2i00002000-2000002i−2i000000
χ22222222-2-2-2-2-2-22-220000000002i2i−2i−2i0000-2000200000−2i2i000000
χ23222222-2-2-2-2-2-22-22000000000−2i−2i2i2i00002000-200000−2i2i000000
χ24222222-2-2-2-2-2-22-22000000000−2i−2i2i2i0000-20002000002i−2i000000
χ252222-2-22-2-2-2-22-2220000000002i−2i2i−2i000002000-2002i−2i00000000
χ262222-2-22-2-2-2-22-2220000000002i−2i2i−2i00000-2000200−2i2i00000000
χ272222-2-22-2-2-2-22-222000000000−2i2i−2i2i000002000-200−2i2i00000000
χ282222-2-22-2-2-2-22-222000000000−2i2i−2i2i00000-20002002i−2i00000000
χ292222-2-2-22222-2-2-22220000-22-22-2-2200000000000000002-20000
χ302222-2-2-22222-2-2-22220000-22-2-222-20000000000000000-220000
χ312222-2-2-22222-2-2-22-2-200002-222-2-220000000000000000-220000
χ322222-2-2-22222-2-2-22-2-200002-22-222-200000000000000002-20000
χ332222-2-2-2-2-222-222-2220000-2-2200002i2i−2i−2i0000002i−2i0000000000
χ342222-2-2-2-2-222-222-2220000-2-220000−2i−2i2i2i000000−2i2i0000000000
χ352222-2-2-2-2-222-222-2-2-2000022-200002i2i−2i−2i000000−2i2i0000000000
χ362222-2-2-2-2-222-222-2-2-2000022-20000−2i−2i2i2i0000002i−2i0000000000
χ37444444-444-4-4-4-44-400000000000000000000000000000000000
χ384444-4-4444-4-444-4-400000000000000000000000000000000000
χ394-4-444-44004-4-400000004i−4i00000000000000000000000000000
χ404-4-444-44004-4-40000000−4i4i00000000000000000000000000000
χ414-4-444-4-400-444000000000000000022−2222−22000000000000000000
χ424-4-444-4-400-4440000000000000000−2222−2222000000000000000000
χ434-4-44-44400-44-400000000000000002i2−2i2−2i22i2000000000000000000
χ444-4-44-44400-44-40000000000000000−2i22i22i2−2i2000000000000000000
χ454-4-44-44-4004-44000004-40000000000000000000000000000000
χ464-4-44-44-4004-4400000-440000000000000000000000000000000
χ4788-8-8000000000004i2−4i2000000000000000000000000000000000
χ4888-8-800000000000−4i24i2000000000000000000000000000000000
χ498-88-80008i−8i00000000000000000000000000000000000000000
χ508-88-8000−8i8i00000000000000000000000000000000000000000

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