Finite Group Databasebeta

← Group #169554

Character table — Group #169554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-1111111-1-1-11-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-11-1-1-1-1-111-1-11-111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-11-1-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-11-1-1111111-1-1-1-111-1-11-111-1-1-1111-1-111-1-111-1-11-1
χ10111111111-1-11-1-1111111-1-1-1-111-1-11-111-1-1-11-1-111-1-111-1-111-11
χ11111111111-1-11-1-1111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-1111-1
χ12111111111-1-11-1-1111111-1-1-1-1-1-111-11-1111-1-1-1-11111-1-111-1-1-11
χ13111111111-1-11-1-11111-1-1-111-111-1-111-1-1-111-111-1-111-1-1-1-111-11
χ14111111111-1-11-1-11111-1-1-111-111-1-111-1-1-111-1-1-111-1-11111-1-11-1
χ15111111111-1-11-1-11111-1-1-111-1-1-111-1-11-11-11111-1-1-1-11111-1-1-11
χ16111111111-1-11-1-11111-1-1-111-1-1-111-1-11-11-111-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-200-20022222-2000-200000000000000000
χ1822222222222-2-2-2-2-22-200-2002-2-2-2-22000200000000000000000
χ19222222222-2-2-222-2-22-200200-222-2-2-2000200000000000000000
χ20222222222-2-2-222-2-22-200200-2-2-2222000-200000000000000000
χ2122222222-2222-2-2-2-2-2200200-2000002-200-20200000000000000
χ2222222222-2222-2-2-2-2-2200200-200000-220020-200000000000000
χ2322222222-222-22222-2-222-222-20000000-200-2000000000000000
χ2422222222-222-22222-2-2-2-2-2-2-2-200000002002000000000000000
χ2522222222-2-2-2222-2-2-2200-2002000002200-20-200000000000000
χ2622222222-2-2-2222-2-2-2200-200200000-2-20020200000000000000
χ2722222222-2-2-2-2-2-222-2-2222-2-220000000-2002000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-222220000000200-2000000000000000
χ2922-2-22-2-2202i−2i02i−2i2-2002-202i−2i00000000000000000i2−i22−2i2−i22−200
χ3022-2-22-2-2202i−2i02i−2i2-2002-202i−2i00000000000000000−i2i2−22−i2i2−2200
χ3122-2-22-2-2202i−2i02i−2i2-200-220−2i2i00000000000000000i2−i22−2−i2i2−2200
χ3222-2-22-2-2202i−2i02i−2i2-200-220−2i2i00000000000000000−i2i2−22i2−i22−200
χ3322-2-22-2-220−2i2i0−2i2i2-2002-20−2i2i00000000000000000i2−i2−22i2−i2−2200
χ3422-2-22-2-220−2i2i0−2i2i2-2002-20−2i2i00000000000000000−i2i22−2−i2i22−200
χ3522-2-22-2-220−2i2i0−2i2i2-200-2202i−2i00000000000000000i2−i2−22−i2i22−200
χ3622-2-22-2-220−2i2i0−2i2i2-200-2202i−2i00000000000000000−i2i22−2i2−i2−2200
χ37444-4-44-4-440000000-40000000004-40000000000000000000000
χ38444-4-44-4-440000000-4000000000-440000000000000000000000
χ39444-4-44-4-4-40000000400000004i−4i000000000000000000000000
χ40444-4-44-4-4-4000000040000000−4i4i000000000000000000000000
χ4144-4-44-4-4404i−4i0−4i4i-440000000000000000000000000000000000
χ4244-4-44-4-440−4i4i04i−4i-440000000000000000000000000000000000
χ434-4-4-4444-4000400000-4000000000000000000002i2−2i20000000000
χ444-4-4-4444-4000400000-400000000000000000000−2i22i20000000000
χ454-4-4-4444-4000-400000400000000000000000022−22000000000000
χ464-4-4-4444-4000-4000004000000000000000000−2222000000000000
χ4788-88-8-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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