Finite Group Databasebeta

← Group #265396

Character table — Group #265396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244224448888882444444488888244444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-11-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-11-1-11111-1-11111-1-1
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-11-111-1-1-1-1111-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-111-1-111-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-111-111-1-1-1-1-1-1-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1111-11-1-111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-11111-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111-1-111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-1111111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-111111-1-11
χ1722222222-2-22-2-22222-2-200000000-200000000002-22-200000000
χ1822222222-2-22-2-22222-2-200000000-20000000000-22-2200000000
χ1922222222-2-22-2-2-2-2-2-22200000000200000000002-2-2200000000
χ2022222222-2-22-2-2-2-2-2-2220000000020000000000-222-200000000
χ21222222-2-2-2-2-2220000002-22-20000022-2-2020-200000000000000
χ22222222-2-2-2-2-2220000002-22-200000-2-2220-20200000000000000
χ23222222-2-2-2-2-222000000-22-220000022-2-20-20200000000000000
χ24222222-2-2-2-2-222000000-22-2200000-2-222020-200000000000000
χ252222-2-2222-2-2-2222-2-22200000000-200002020-2-2000000000000
χ262222-2-2222-2-2-2222-2-22200000000-20000-20-2022000000000000
χ272222-2-2222-2-2-22-2-222-2-2000000002000020-20-22000000000000
χ282222-2-2222-2-2-22-2-222-2-20000000020000-20202-2000000000000
χ292222-2-222-22-22-222-2-2-2-22-2-220000200000000000000-22000000
χ302222-2-222-22-22-222-2-2-2-2-222-200002000000000000002-2000000
χ312222-2-222-22-22-2-2-222222-2-220000-2000000000000002-2000000
χ322222-2-222-22-22-2-2-22222-222-20000-200000000000000-22000000
χ332222-2-2-2-22-222-200000022-2-22i2i−2i−2i000000000000000002i−2i0000
χ342222-2-2-2-22-222-200000022-2-2−2i−2i2i2i00000000000000000−2i2i0000
χ352222-2-2-2-22-222-2000000-2-2222i2i−2i−2i00000000000000000−2i2i0000
χ362222-2-2-2-22-222-2000000-2-222−2i−2i2i2i000000000000000002i−2i0000
χ37444444-4-444-4-4-40000000000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000000000
χ394-44-44-400000002i2−2i22i2−2i20000002-22-202i2−2i200000000000000000000
χ404-44-44-400000002i2−2i22i2−2i2000000-22-220−2i22i200000000000000000000
χ414-44-44-40000000−2i22i2−2i22i20000002-22-20−2i22i200000000000000000000
χ424-44-44-40000000−2i22i2−2i22i2000000-22-2202i2−2i200000000000000000000
χ434-44-4-4400000002i2−2i2−2i22i20000002i−2i−2i2i00022−22000000000000000000
χ444-44-4-4400000002i2−2i2−2i22i2000000−2i2i2i−2i000−2222000000000000000000
χ454-44-4-440000000−2i22i22i2−2i20000002i−2i−2i2i000−2222000000000000000000
χ464-44-4-440000000−2i22i22i2−2i2000000−2i2i2i−2i00022−22000000000000000000
χ4788-8-8000000000000042−420000000000000000000000000000000
χ4888-8-80000000000000−42420000000000000000000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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