Finite Group Databasebeta

← Group #169282

Character table — Group #169282

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-111111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-1-1-11-1-1-1-1-111-1111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-11-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ9111111111-1-11-1-11111-11111-1-1-1-1-1-11-11-111-111-1-111-1-111-1-11-1
χ10111111111-1-11-1-11111-11111-1-1-1-1-1-11-11-111-1-1-111-1-111-1-111-11
χ11111111111-1-11-1-11111-111-1-111-1-1-1-1-11-111-1111-1-111-1-1-1-111-11
χ12111111111-1-11-1-11111-111-1-111-1-1-1-1-11-111-11-1-111-1-11111-1-11-1
χ13111111111-1-11-1-11111-1-1-111-1-1-11111-1-11-1-1111-1-1-1-111-1-1111-1
χ14111111111-1-11-1-11111-1-1-111-1-1-11111-1-11-1-11-1-11111-1-111-1-1-11
χ15111111111-1-11-1-11111-1-1-1-1-111-1111-111-1-11-111-1-1-1-11111-1-1-11
χ16111111111-1-11-1-11111-1-1-1-1-111-1111-111-1-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-2-2000000200000220-2-200000000000000
χ1822222222222-2-2-2-2-22-2-2000000200000-2-202200000000000000
χ19222222222-2-2-222-2-22-22000000-2000002-20-2200000000000000
χ20222222222-2-2-222-2-22-22000000-200000-2202-200000000000000
χ2122222222-222222-2-2-22-2220000-222-20000-20000000000000000
χ2222222222-222222-2-2-22-2-2-20000-2-2-22000020000000000000000
χ2322222222-222-2-2-222-2-22002222-2000-2-20000000000000000000
χ2422222222-222-2-2-222-2-2200-2-2-2-2-2000220000000000000000000
χ2522222222-2-2-22-2-2-2-2-2222200002-2-220000-20000000000000000
χ2622222222-2-2-22-2-2-2-2-222-2-20000222-2000020000000000000000
χ2722222222-2-2-2-22222-2-2-20022-2-22000-220000000000000000000
χ2822222222-2-2-2-22222-2-2-200-2-22220002-20000000000000000000
χ292-2-22-22-2202-222-2000-202i−2i000002i−2i00000000i2−i2i2−i22−22−2000000
χ302-2-22-22-2202-222-2000-202i−2i000002i−2i00000000−i2i2−i2i2−22−22000000
χ312-2-22-22-2202-222-2000-20−2i2i00000−2i2i00000000i2−i2i2−i2−22−22000000
χ322-2-22-22-2202-222-2000-20−2i2i00000−2i2i00000000−i2i2−i2i22−22−2000000
χ332-2-22-22-220-222-22000-202i−2i00000−2i2i00000000i2−i2−i2i22−2−22000000
χ342-2-22-22-220-222-22000-202i−2i00000−2i2i00000000−i2i2i2−i2−222−2000000
χ352-2-22-22-220-222-22000-20−2i2i000002i−2i00000000i2−i2−i2i2−222−2000000
χ362-2-22-22-220-222-22000-20−2i2i000002i−2i00000000−i2i2i2−i22−2−22000000
χ37444-4-4-4-4440000000-40000000000000000000000000000022−2200
χ38444-4-4-4-4440000000-400000000000000000000000000000−222200
χ39444-4-4-4-44-4000000040000000000000000000000000002i2−2i20000
χ40444-4-4-4-44-400000004000000000000000000000000000−2i22i20000
χ4144-444-4-4-40000004-400000004-40000000000000000000000000
χ4244-444-4-4-40000004-40000000-440000000000000000000000000
χ4344-444-4-4-4000000-44000004-4000000000000000000000000000
χ4444-444-4-4-4000000-4400000-44000000000000000000000000000
χ454-4-44-44-4404-4-4-44000400000000000000000000000000000000
χ464-4-44-44-440-44-44-4000400000000000000000000000000000000
χ4788-8-8-888-8000000000000000000000000000000000000000000
χ488-888-8-88-8000000000000000000000000000000000000000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-8-88-888000000000000000000000000000000000000000000

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