Finite Group Databasebeta

← Group #280976

Character table — Group #280976

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224444448882244444488888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-1-1-11111111-111-1-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-1111-111-11111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ9111111111111111-1-111-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-1111-111-1-111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-11-1-1-111-1-1-1-1-1-1111111-1-11-1
χ15111111111111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1111-1
χ172222222-2-2222-2-2-22222-2-20000-2-22200-2000000000000000000
χ182222222-2-2222-2-2-222-2-2220000-2-22-2002000000000000000000
χ192222222-2-2222-2-2-2-2-22222000022-2-200-2000000000000000000
χ202222222-2-2222-2-2-2-2-2-2-2-2-2000022-22002000000000000000000
χ21222222-222-2-2-22-2-200000022-2-20000000000000002i−2i2i−2i000000
χ22222222-222-2-2-22-2-200000022-2-2000000000000000−2i2i−2i2i000000
χ23222222-222-2-2-22-2-2000000-2-2220000000000000002i−2i−2i2i000000
χ24222222-222-2-2-22-2-2000000-2-222000000000000000−2i2i2i−2i000000
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
χ292222-2-22-2-2-22-22-222200002i−2i2i−2i-22-200000000002i−2i0000000000
χ302222-2-22-2-2-22-22-22220000−2i2i−2i2i-22-20000000000−2i2i0000000000
χ312222-2-22-2-2-22-22-22-2-200002i−2i2i−2i2-220000000000−2i2i0000000000
χ322222-2-22-2-2-22-22-22-2-20000−2i2i−2i2i2-2200000000002i−2i0000000000
χ332222-2-2-2-2-22-2222-20000002i−2i−2i2i00002-2000002i−2i000000000000
χ342222-2-2-2-2-22-2222-20000002i−2i−2i2i0000-2200000−2i2i000000000000
χ352222-2-2-2-2-22-2222-2000000−2i2i2i−2i00002-200000−2i2i000000000000
χ362222-2-2-2-2-22-2222-2000000−2i2i2i−2i0000-22000002i−2i000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-4-4444-44-4-4400000000000000000000000000000000000
χ394-44-44-4400-4-44000000000000000000000000000000002i2−2i20000
χ404-44-44-4400-4-4400000000000000000000000000000000−2i22i20000
χ414-44-44-4-40044-400000004i−4i00000000000000000000000000000
χ424-44-44-4-40044-40000000−4i4i00000000000000000000000000000
χ434-44-4-444004-4-400000000000000000000000000000000002i2−2i200
χ444-44-4-444004-4-40000000000000000000000000000000000−2i22i200
χ454-44-4-44-400-444000004-40000000000000000000000000000000
χ464-44-4-44-400-44400000-440000000000000000000000000000000
χ4788-8-80008i−8i00000000000000000000000000000000000000000
χ4888-8-8000−8i8i00000000000000000000000000000000000000000
χ498-8-880000000000042−42000000000000000000000000000000000
χ508-8-8800000000000−4242000000000000000000000000000000000

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