Finite Group Databasebeta

← Group #248257

Character table — Group #248257

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444422444444444444224444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ9111111111111111-1-1-1-1111111-1-1-1-11-1111-1-11-1-1-111-1-111-1-11-1
χ10111111111111111-1-1-1-1111111-1-1-1-1-11111-1-1-11-1-1-1-111-1-111-11
χ11111111111111111-1-1-1-11111-1-111111-1-1-1-1-1-11-11111-1-1-1-111-11
χ12111111111111111-1-1-1-11111-1-11111-11-1-1-1-1-1-1111-1-11111-1-11-1
χ13111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1111-111-1-111-1-1111-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-111111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111-11-11111-11-1-111-1-1-1-1111-1
χ1722222222-2-222-2-2-222-2-2000022-2-22200-2000000000000000000
χ1822222222-2-222-2-2-222-2-20000-2-222-2-2002000000000000000000
χ1922222222-2-222-2-2-2-2-22200002222-2-200-2000000000000000000
χ2022222222-2-222-2-2-2-2-2220000-2-2-2-222002000000000000000000
χ21222222-2-222-2-22-2-22-22-222-2-2000000000002-200000000000000
χ22222222-2-222-2-22-2-22-22-2-2-22200000000000-2200000000000000
χ23222222-2-222-2-22-2-2-22-2222-2-200000000000-2200000000000000
χ24222222-2-222-2-22-2-2-22-22-2-222000000000002-200000000000000
χ25222222-2-2-2-2-2-2-2222-2-2200000000000002-200002-20000000000
χ26222222-2-2-2-2-2-2-2222-2-220000000000000-220000-220000000000
χ27222222-2-2-2-2-2-2-222-222-200000000000002-20000-220000000000
χ28222222-2-2-2-2-2-2-222-222-20000000000000-2200002-20000000000
χ292222-2-22-2222-2-22-200002-22-200000002000000-200002-2000000
χ302222-2-22-2222-2-22-200002-22-20000000-200000020000-22000000
χ312222-2-22-2222-2-22-20000-22-2200000002000000-20000-22000000
χ322222-2-22-2222-2-22-20000-22-220000000-2000000200002-2000000
χ332222-2-2-2222-22-2-2200002-2-220000002000000-20002-200000000
χ342222-2-2-2222-22-2-2200002-2-22000000-20000002000-2200000000
χ352222-2-2-2222-22-2-220000-222-20000002000000-2000-2200000000
χ362222-2-2-2222-22-2-220000-222-2000000-200000020002-200000000
χ374444-4-44-4-4-44-44-4400000000000000000000000000000000000
χ384444-4-4-44-4-4-4444-400000000000000000000000000000000000
χ394-4-444-44-400-44000000000000000000000000000000002i2−2i20000
χ404-4-444-44-400-4400000000000000000000000000000000−2i22i20000
χ414-4-444-4-44004-400000000000000000000000000000000002i2−2i200
χ424-4-444-4-44004-40000000000000000000000000000000000−2i22i200
χ434-4-44-444400-4-400000000000004i−4i00000000000000000000000
χ444-4-44-444400-4-40000000000000−4i4i00000000000000000000000
χ454-4-44-44-4-40044000000000004-40000000000000000000000000
χ464-4-44-44-4-4004400000000000-440000000000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-88-8000000000000000000000004i−4i000000000000000000000
χ508-88-800000000000000000000000−4i4i000000000000000000000

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