Finite Group Databasebeta

← Group #253985

Character table — Group #253985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444888888888888888888888816161616161616161616161616163232
order12222244444444444422444444444444888888882444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-11-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-1-111
χ5111111111111111111-1-111-1-1111111-1-11111111111-1-1-1111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111
χ7111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-11-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11111-1-111111-1-1
χ911111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-111-1-1111-1-1-11
χ1211111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-1111-1
χ1311111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1111-1-111-11
χ1411111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-11111111-1-11-1
χ1511111111111-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11111-11-1-1-1111-1
χ1611111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1111111-111-1-1-11-111-1-1-11
χ172222222222-22222-2-2-222-2-222000000000000000000-200000-20000000
χ182222222222-22222-2-2-2-2-2-2-2-2-200000000000000000020000020000000
χ192222222222-2-2-2-2-2-2-2-22222-2-2000000000000000000-20000020000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222000000000000000000200000-20000000
χ21222222-2-2-2-2222-2-2-2-22002-2002222-2-200000000000000000-200000000
χ22222222-2-2-2-2222-2-2-2-22002-200-2-2-2-22200000000000000000200000000
χ23222222-2-2-2-22-2-222-2-2200-220022-2-22200000000000000000-200000000
χ24222222-2-2-2-22-2-222-2-2200-2200-2-222-2-200000000000000000200000000
χ25222222-2-2-2-2-222-2-222-200-220000000022000000000002-20000-2000000
χ26222222-2-2-2-2-222-2-222-200-2200000000-2-200000000000-2200002000000
χ27222222-2-2-2-2-2-2-22222-2002-2000000002200000000000-220000-2000000
χ28222222-2-2-2-2-2-2-22222-2002-200000000-2-2000000000002-200002000000
χ292222-2-22-22-2200002-2-2000000002i−2i2i−2i0000002i2i−2i−2i2-200000000000000
χ302222-2-22-22-2200002-2-2000000002i−2i2i−2i000000−2i−2i2i2i-2200000000000000
χ312222-2-22-22-2200002-2-200000000−2i2i−2i2i0000002i2i−2i−2i-2200000000000000
χ322222-2-22-22-2200002-2-200000000−2i2i−2i2i000000−2i−2i2i2i2-200000000000000
χ332222-2-2-22-2220000-22-2000000002i−2i−2i2i002i2i−2i−2i0000000002-2000000000
χ342222-2-2-22-2220000-22-2000000002i−2i−2i2i00−2i−2i2i2i000000000-22000000000
χ352222-2-2-22-2220000-22-200000000−2i2i2i−2i002i2i−2i−2i000000000-22000000000
χ362222-2-2-22-2220000-22-200000000−2i2i2i−2i00−2i−2i2i2i0000000002-2000000000
χ3722-2-2-22-222-202i−2i2i−2i0002-2002i−2i00000000i2−i2i2−i22−22−20000000000i2−i22−200
χ3822-2-2-22-222-202i−2i2i−2i0002-2002i−2i00000000−i2i2−i2i2−22−220000000000−i2i2−2200
χ3922-2-2-22-222-202i−2i2i−2i000-2200−2i2i00000000i2−i2i2−i22−22−20000000000−i2i2−2200
χ4022-2-2-22-222-202i−2i2i−2i000-2200−2i2i00000000−i2i2−i2i2−22−220000000000i2−i22−200
χ4122-2-2-22-222-20−2i2i−2i2i0002-200−2i2i00000000i2−i2i2−i2−22−220000000000i2−i2−2200
χ4222-2-2-22-222-20−2i2i−2i2i0002-200−2i2i00000000−i2i2−i2i22−22−20000000000−i2i22−200
χ4322-2-2-22-222-20−2i2i−2i2i000-22002i−2i00000000i2−i2i2−i2−22−220000000000−i2i22−200
χ4422-2-2-22-222-20−2i2i−2i2i000-22002i−2i00000000−i2i2−i2i22−22−20000000000i2−i2−2200
χ454444-4-44-44-4-40000-44400000000000000000000000000000000000000
χ464444-4-4-44-44-400004-4400000000000000000000000000000000000000
χ4744-4-44-444-4-4000000000000000000000022−22−222200000000000000000000
χ4844-4-44-444-4-40000000000000000000000−222222−2200000000000000000000
χ4944-4-44-4-4-444000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5044-4-44-4-4-44400000000000000000000000000−2i22i22i2−2i20000000000000000
χ5144-4-4-444-4-4404i−4i−4i4i00000000000000000000000000000000000000000
χ5244-4-4-444-4-440−4i4i4i−4i00000000000000000000000000000000000000000
χ538-88-8000000000000000000000000004i−4i000000000000000000000000
χ548-88-800000000000000000000000000−4i4i000000000000000000000000
χ558-8-88000000000000000000004i−4i000000000000000000000000000000
χ568-8-8800000000000000000000−4i4i000000000000000000000000000000

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