Finite Group Databasebeta

← Group #288686

Character table — Group #288686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488888888888882224444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111-1-1-1-11111
χ9111111111111111-1-1-1-1-1111111-1-11-111-11-1-11-1-1-11111-1-1-1-11-1
χ10111111111111111-1-1-1-1-1111111-1-11-1-11-1-1-1-11-111-1-1-1-11111-11
χ11111111111111111-1-1-1-1-11111-1-111-111-111-1-1-11-1-111-1-111-1-1-11
χ12111111111111111-1-1-1-1-11111-1-111-11-1-11-1-1-1-1111-1-111-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-111111-1-1-1-1-1-1-111111-1
χ14111111111111111-1-1-1-1-1-1-1-1-111-1-1-11-1-11-1111-1111111-1-1-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1111-111-1111-11-1-1-1-111-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-111111-1-111-1-11-1
χ1722222222-2-222-2-2-222-2-22000022-2-200000000-22000000000000
χ1822222222-2-222-2-2-222-2-220000-2-222000000002-2000000000000
χ1922222222-2-222-2-2-2-2-222-20000222200000000-2-2000000000000
χ2022222222-2-222-2-2-2-2-222-20000-2-2-2-20000000022000000000000
χ21222222-2-2-2-2-2-2-222000002i2i−2i−2i000000000000002i−2i0000002-200
χ22222222-2-2-2-2-2-2-222000002i2i−2i−2i00000000000000−2i2i000000-2200
χ23222222-2-2-2-2-2-2-22200000−2i−2i2i2i000000000000002i−2i000000-2200
χ24222222-2-2-2-2-2-2-22200000−2i−2i2i2i00000000000000−2i2i0000002-200
χ252222-2-22-2222-2-2-22222-2-2000000002-20-2200000000000000000
χ262222-2-22-2222-2-2-22222-2-200000000-2202-200000000000000000
χ272222-2-22-2222-2-2-22-2-2-22200000000220-2-200000000000000000
χ282222-2-22-2222-2-2-22-2-2-22200000000-2-202200000000000000000
χ292222-2-22-2-2-22-222-222-22-22i−2i2i−2i00000000002i−2i00000000000000
χ302222-2-22-2-2-22-222-222-22-2−2i2i−2i2i0000000000−2i2i00000000000000
χ312222-2-22-2-2-22-222-2-2-22-222i−2i2i−2i0000000000−2i2i00000000000000
χ322222-2-22-2-2-22-222-2-2-22-22−2i2i−2i2i00000000002i−2i00000000000000
χ332222-2-2-2222-22-22-2000002-2-22000000200-20000002-200000000
χ342222-2-2-2222-22-22-2000002-2-22000000-2002000000-2200000000
χ352222-2-2-2222-22-22-200000-222-2000000200-2000000-2200000000
χ362222-2-2-2222-22-22-200000-222-2000000-20020000002-200000000
χ37444444-4-444-4-44-4-400000000000000000000000000000000000
χ384444-4-4-44-4-4-444-4400000000000000000000000000000000000
χ394-4-444-44400-4-40000000000004i−4i000000000000000000000000
χ404-4-444-44400-4-4000000000000−4i4i000000000000000000000000
χ414-4-444-4-4-400440000000000000000000000000000000022−220000
χ424-4-444-4-4-4004400000000000000000000000000000000−22220000
χ434-4-44-444-400-44000000000000004-40000000000000000000000
χ444-4-44-444-400-4400000000000000-440000000000000000000000
χ454-4-44-44-44004-400000000000000000000000000000022−22000000
χ464-4-44-44-44004-4000000000000000000000000000000−2222000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-88-8000000000004i2−4i2000000000000000000000000000000000
χ508-88-800000000000−4i24i2000000000000000000000000000000000

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