Finite Group Databasebeta

← Group #254259

Character table — Group #254259

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444444444444444444222444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-11111-1-1-111-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ9111111111111111-1-111-1-1-1-11111-1-111-1-1-11-1-1-11111-1-111-1-11-1
χ10111111111111111-1-111-1-1-1-11111-1-11-11-1-1-11-1-111-1-111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1111-111-1-1-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1111-1-111-1-111-1-1-11
χ13111111111111111-1-1-1-1-1-111111111-11-1111-1-1-1-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-111111111-1-1111-11-1-1-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-111-1-1-1-111-11-1-1-11-11111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-11111111-1-1-1-1111-1
χ1722222222-2-222-2-2-22222-2-2-2-2000022-200000000000000000000
χ1822222222-2-222-2-2-222-2-2-2-2220000-2-2200000000000000000000
χ1922222222-2-222-2-2-2-2-22222220000-2-2-200000000000000000000
χ2022222222-2-222-2-2-2-2-2-2-222-2-2000022200000000000000000000
χ21222222-2-222-2-22-2-22-2002-20022-2-20000000002-2000000000000
χ22222222-2-222-2-22-2-22-2002-200-2-222000000000-22000000000000
χ23222222-2-222-2-22-2-2-2200-220022-2-2000000000-22000000000000
χ24222222-2-222-2-22-2-2-2200-2200-2-2220000000002-2000000000000
χ25222222-2-2-2-2-2-2-2222-200-22000000000002-200002-20000000000
χ26222222-2-2-2-2-2-2-2222-200-2200000000000-220000-220000000000
χ27222222-2-2-2-2-2-2-222-22002-2000000000002-20000-220000000000
χ28222222-2-2-2-2-2-2-222-22002-200000000000-2200002-20000000000
χ292222-2-22-2-2-22-222-2000000002i−2i2i−2i00002000-20000002i−2i000000
χ302222-2-22-2-2-22-222-2000000002i−2i2i−2i0000-20002000000−2i2i000000
χ312222-2-22-2-2-22-222-200000000−2i2i−2i2i00002000-2000000−2i2i000000
χ322222-2-22-2-2-22-222-200000000−2i2i−2i2i0000-200020000002i−2i000000
χ332222-2-2-22-2-2-222-22000000002i−2i−2i2i0002000-2000002i−2i00000000
χ342222-2-2-22-2-2-222-22000000002i−2i−2i2i000-2000200000−2i2i00000000
χ352222-2-2-22-2-2-222-2200000000−2i2i2i−2i0002000-200000−2i2i00000000
χ362222-2-2-22-2-2-222-2200000000−2i2i2i−2i000-20002000002i−2i00000000
χ374444-4-44-4444-4-4-4400000000000000000000000000000000000
χ384444-4-4-4444-44-44-400000000000000000000000000000000000
χ394-4-444-44-400-4400000000000000000000000000000000002i2−2i200
χ404-4-444-44-400-440000000000000000000000000000000000−2i22i200
χ414-4-444-4-44004-4000000000000000000000000000000002i2−2i20000
χ424-4-444-4-44004-400000000000000000000000000000000−2i22i20000
χ434-4-44-444400-4-4000004i−4i0000000000000000000000000000000
χ444-4-44-444400-4-400000−4i4i0000000000000000000000000000000
χ454-4-44-44-4-400440000000000000004-4000000000000000000000
χ464-4-44-44-4-40044000000000000000-44000000000000000000000
χ4788-8-8000000000000000004i−4i000000000000000000000000000
χ4888-8-800000000000000000−4i4i000000000000000000000000000
χ498-88-800008i−8i0000000000000000000000000000000000000000
χ508-88-80000−8i8i0000000000000000000000000000000000000000

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