Finite Group Databasebeta

← Group #277964

Character table — Group #277964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888844448888888888888448888888888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ9111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1111-111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1-1-1-1-1111111-1-111-111-1-1-1-111-11-1-111-1-1-1-1-1-111-11
χ11111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-11-111-1-1-1-111-1-111-11
χ12111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-11-1-111-1-11111-1-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-11-1-1-111111111-1-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1111-1-11111-1-1111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1-1-11111-1-1-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1111-1-111-1-111-1-1-11
χ172222222-2222-2-2-2-22222-2-20000002222-200000000-2-200000000000000
χ182222222-2222-2-2-2-22222-2-2000000-2-2-2-2-2000000002200000000000000
χ192222222-2222-2-2-2-2-2-2-2-22200000022-2-2200000000-2200000000000000
χ202222222-2222-2-2-2-2-2-2-2-222000000-2-2222000000002-200000000000000
χ21222222-22-2-2-222-2-200000022-2-20000000002i2i−2i−2i00000000002i−2i000000
χ22222222-22-2-2-222-2-200000022-2-2000000000−2i−2i2i2i0000000000−2i2i000000
χ23222222-22-2-2-222-2-2000000-2-2220000000002i2i−2i−2i0000000000−2i2i000000
χ24222222-22-2-2-222-2-2000000-2-222000000000−2i−2i2i2i00000000002i−2i000000
χ252222-2-222-2-222-2-2222-2-2222-22-2000000-2000000000000002-200000000
χ262222-2-222-2-222-2-2222-2-222-22-22000000-200000000000000-2200000000
χ272222-2-222-2-222-2-22-2-222-2-22-22-2000000200000000000000-2200000000
χ282222-2-222-2-222-2-22-2-222-2-2-22-220000002000000000000002-200000000
χ292222-2-22-2-2-22-222-222-2-2-2-20000000000200000000002i−2i2i−2i0000000000
χ302222-2-22-2-2-22-222-222-2-2-2-2000000000020000000000−2i2i−2i2i0000000000
χ312222-2-22-2-2-22-222-2-2-222220000000000-200000000002i−2i−2i2i0000000000
χ322222-2-22-2-2-22-222-2-2-222220000000000-20000000000−2i2i2i−2i0000000000
χ332222-2-2-2222-22-22-20000002-2-222200000-2-200002-20000000000000000
χ342222-2-2-2222-22-22-20000002-2-22-2-200000220000-220000000000000000
χ352222-2-2-2222-22-22-2000000-222-22200000-2-20000-220000000000000000
χ362222-2-2-2222-22-22-2000000-222-2-2-2000002200002-20000000000000000
χ3722-2-22-2-202-2200002i−2i2i−2i0000002−22i−2i2-202−2i2−i2i2−i2000000000000i2−i22−200
χ3822-2-22-2-202-2200002i−2i2i−2i0000002−2−2i2i-2202−2i2−i2i2−i2000000000000−i2i2−2200
χ3922-2-22-2-202-2200002i−2i2i−2i000000−222i−2i2-20−22−i2i2−i2i2000000000000−i2i2−2200
χ4022-2-22-2-202-2200002i−2i2i−2i000000−22−2i2i-220−22−i2i2−i2i2000000000000i2−i22−200
χ4122-2-22-2-202-220000−2i2i−2i2i0000002−22i−2i-2202−2−i2i2−i2i2000000000000i2−i2−2200
χ4222-2-22-2-202-220000−2i2i−2i2i0000002−2−2i2i2-202−2−i2i2−i2i2000000000000−i2i22−200
χ4322-2-22-2-202-220000−2i2i−2i2i000000−222i−2i-220−22i2−i2i2−i2000000000000−i2i22−200
χ4422-2-22-2-202-220000−2i2i−2i2i000000−22−2i2i2-20−22i2−i2i2−i2000000000000i2−i2−2200
χ45444444-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ464444-4-4-4-444-4-44-4400000000000000000000000000000000000000000
χ4744-4-44-440-44-40000000000000000000000022−22−2222000000000000000000
χ4844-4-44-440-44-400000000000000000000000−222222−22000000000000000000
χ4944-4-4-44404-4-40000000000000022−2200000−22220000000000000000000000
χ5044-4-4-44404-4-400000000000000−22220000022−220000000000000000000000
χ5144-4-4-44-40-44400004i−4i−4i4i0000000000000000000000000000000000000
χ5244-4-4-44-40-4440000−4i4i4i−4i0000000000000000000000000000000000000
χ538-88-80008000-800000000000000000000000000000000000000000000
χ548-88-8000-8000800000000000000000000000000000000000000000000
χ558-8-8800000000000000042−4200000000000000000000000000000000000
χ568-8-88000000000000000−424200000000000000000000000000000000000

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