Finite Group Databasebeta

← Group #283815

Character table — Group #283815

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444424444444888888444444888888888888848
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1
χ51111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111
χ9111111111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-111-11
χ10111111111111111-1-1-1-11111-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1
χ11111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1
χ13111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11-1-1-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11-1-111-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-11
χ1722222222-2-222-2-2-22-2-2222-2-222000000000000000000-2000000
χ1822222222-2-222-2-2-22-2-22-2-222-2-20000000000000000002000000
χ1922222222-2-222-2-2-2-222-222-2-2-2-20000000000000000002000000
χ2022222222-2-222-2-2-2-222-2-2-22222000000000000000000-2000000
χ21222222-2-2-2-2-2-22-2200000000002i2i−2i−2i00002-2002i−2i00000000000
χ22222222-2-2-2-2-2-22-2200000000002i2i−2i−2i0000-2200−2i2i00000000000
χ23222222-2-2-2-2-2-22-220000000000−2i−2i2i2i00002-200−2i2i00000000000
χ24222222-2-2-2-2-2-22-220000000000−2i−2i2i2i0000-22002i−2i00000000000
χ252222-2-22-2222-2-2-2222-2-200000000002-200000000002-20000000
χ262222-2-22-2222-2-2-2222-2-20000000000-220000000000-220000000
χ272222-2-22-2222-2-2-22-2-22200000000002-20000000000-220000000
χ282222-2-22-2222-2-2-22-2-2220000000000-2200000000002-20000000
χ292222-2-22-2-2-22-222-22-22-20000002i−2i2i−2i0000000000000002i−2i0000
χ302222-2-22-2-2-22-222-22-22-2000000−2i2i−2i2i000000000000000−2i2i0000
χ312222-2-22-2-2-22-222-2-22-220000002i−2i2i−2i000000000000000−2i2i0000
χ322222-2-22-2-2-22-222-2-22-22000000−2i2i−2i2i0000000000000002i−2i0000
χ332222-2-2-2222-222-2-200000000002-2-22002-2002-20000000000000
χ342222-2-2-2222-222-2-200000000002-2-2200-2200-220000000000000
χ352222-2-2-2222-222-2-20000000000-222-2002-200-220000000000000
χ362222-2-2-2222-222-2-20000000000-222-200-22002-20000000000000
χ37444444-4-444-4-4-44-400000000000000000000000000000000000
χ384444-4-4-44-4-4-44-44400000000000000000000000000000000000
χ394-4-444-44400-4-400000004-400000000000000000000000000000
χ404-4-444-44400-4-40000000-4400000000000000000000000000000
χ414-4-444-4-4-4004400000000000000000000000000022−22000000000
χ424-4-444-4-4-40044000000000000000000000000000−2222000000000
χ434-4-44-444-400-44000000000004i−4i0000000000000000000000000
χ444-4-44-444-400-4400000000000−4i4i0000000000000000000000000
χ454-4-44-44-44004-400000000000000000000000000000000002i2−2i200
χ464-4-44-44-44004-40000000000000000000000000000000000−2i22i200
χ4788-8-8000000000000000004-4000000000000000000000000000
χ4888-8-800000000000000000-44000000000000000000000000000
χ498-88-800008-80000000000000000000000000000000000000000
χ508-88-80000-880000000000000000000000000000000000000000

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