Finite Group Databasebeta

← Group #265394

Character table — Group #265394

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244224448888882444444488888222244444488884488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-1-11111-1111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-1111111111-111-1-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-1-1-111-1-1-111-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111-1-111-1-11111-1-1
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-111-11-1-1-1-1-1111-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1111-1-111-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-1-11-1111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-11111-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11111-11-1-111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11-1111111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-1-111111-1-11
χ1722222222-2-22-2-22222-2-200000000-200000002-20002-200000000
χ1822222222-2-22-2-22222-2-200000000-20000000-22000-2200000000
χ1922222222-2-22-2-2-2-2-2-22200000000200000002-2000-2200000000
χ2022222222-2-22-2-2-2-2-2-2220000000020000000-220002-200000000
χ21222222-2-2-2-2-2220000002-22-20000022-2-220000-2000000000000
χ22222222-2-2-2-2-2220000002-22-200000-2-222-200002000000000000
χ23222222-2-2-2-2-222000000-22-220000022-2-2-200002000000000000
χ24222222-2-2-2-2-222000000-22-2200000-2-22220000-2000000000000
χ252222-2-2222-2-2-2222-2-22200000000-2000002-2000-220000000000
χ262222-2-2222-2-2-2222-2-22200000000-200000-220002-20000000000
χ272222-2-2222-2-2-22-2-222-2-20000000020000022000-2-20000000000
χ282222-2-2222-2-2-22-2-222-2-200000000200000-2-2000220000000000
χ292222-2-222-22-22-222-2-2-2-22-2-2200002000000000000002-2000000
χ302222-2-222-22-22-222-2-2-2-2-222-20000200000000000000-22000000
χ312222-2-222-22-22-2-2-222222-2-220000-200000000000000-22000000
χ322222-2-222-22-22-2-2-22222-222-20000-2000000000000002-2000000
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
χ394-44-44-4000000022−2222−220000002i−2i2i−2i0002i2−2i2000000000000000000
χ404-44-44-4000000022−2222−22000000−2i2i−2i2i000−2i22i2000000000000000000
χ414-44-44-40000000−2222−22220000002i−2i2i−2i000−2i22i2000000000000000000
χ424-44-44-40000000−2222−2222000000−2i2i−2i2i0002i2−2i2000000000000000000
χ434-44-4-44000000022−22−22220000002-2-22022−2200000000000000000000
χ444-44-4-44000000022−22−2222000000-222-20−222200000000000000000000
χ454-44-4-440000000−222222−220000002-2-220−222200000000000000000000
χ464-44-4-440000000−222222−22000000-222-2022−2200000000000000000000
χ4788-8-800000000000004i2−4i20000000000000000000000000000000
χ4888-8-80000000000000−4i24i20000000000000000000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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