Finite Group Databasebeta

← Group #280975

Character table — Group #280975

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488444444448882444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1111-111-1-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-1-1-111111111-1-11-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ9111111111111111-1-111-1-11111-1-1-11-11111-1-111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-111-11-1-11111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-11-1
χ15111111111111111-1-1-1-111-1-1-1-1-1-1-111-1111-1-1-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1111-1
χ1722222222-2-2-2-22-2-200000022-2-20000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-22-2-200000022-2-2000000000000000−2i2i−2i2i000000
χ1922222222-2-2-2-22-2-2000000-2-2220000000000000002i−2i−2i2i000000
χ2022222222-2-2-2-22-2-2000000-2-222000000000000000−2i2i2i−2i000000
χ21222222-2-22222-2-2-22222-2-20000-2-2202-20000000000000000000
χ22222222-2-22222-2-2-222-2-2220000-2-220-220000000000000000000
χ23222222-2-22222-2-2-2-2-22222000022-20-2-20000000000000000000
χ24222222-2-22222-2-2-2-2-2-2-2-2-2000022-20220000000000000000000
χ252222-2-2222-22-2-22-222000000002-2-200002i−2i2i−2i00000000000000
χ262222-2-2222-22-2-22-222000000002-2-20000−2i2i−2i2i00000000000000
χ272222-2-2222-22-2-22-2-2-200000000-22200002i−2i−2i2i00000000000000
χ282222-2-2222-22-2-22-2-2-200000000-2220000−2i2i2i−2i00000000000000
χ292222-2-2-2-22-22-22-222200002i−2i2i−2i-22-200000000002i−2i0000000000
χ302222-2-2-2-22-22-22-22220000−2i2i−2i2i-22-20000000000−2i2i0000000000
χ312222-2-2-2-22-22-22-22-2-200002i−2i2i−2i2-220000000000−2i2i0000000000
χ322222-2-2-2-22-22-22-22-2-20000−2i2i−2i2i2-2200000000002i−2i0000000000
χ332222-2-2-2-2-22-2222-20000002i−2i−2i2i000200-200002i−2i000000000000
χ342222-2-2-2-2-22-2222-20000002i−2i−2i2i000-20020000−2i2i000000000000
χ352222-2-2-2-2-22-2222-2000000−2i2i2i−2i000200-20000−2i2i000000000000
χ362222-2-2-2-2-22-2222-2000000−2i2i2i−2i000-200200002i−2i000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-444-44-44-4-4400000000000000000000000000000000000
χ394-4-444-4004-4-4400000000000000000000000000000000002i2−2i200
χ404-4-444-4004-4-440000000000000000000000000000000000−2i22i200
χ414-4-444-400-444-4000004i−4i0000000000000000000000000000000
χ424-4-444-400-444-400000−4i4i0000000000000000000000000000000
χ434-4-44-440044-4-4000000000000000000000000000000002i2−2i20000
χ444-4-44-440044-4-400000000000000000000000000000000−2i22i20000
χ454-4-44-4400-4-44400000004-400000000000000000000000000000
χ464-4-44-4400-4-4440000000-4400000000000000000000000000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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