Finite Group Databasebeta

← Group #473044

Character table — Group #473044

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-11-1-1-1-1-11-1-1-11-111-1-111-1-1
χ411111111111111111111111111111111-1-1-11-11-1-1-1-1-11-1-1-11-1-111-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11-111-11-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111-111-1-111-1-11-1-1-111-1-1-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1111-1-11111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1111-11111-1-1-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1111-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-11111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1111-1-111-11-1-111-1-1-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-111-1111-1-11111-1111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111-1-1-1111111
χ1722222222-2-2-2-222-2-22-22-20000000022-2-200020200000-2000-200000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-2000-20-2000002000200000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-22200020-200000-2000200000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-222000-202000002000-200000000
χ2122222222-2-2-2-2-2-222-22-22000022-2-200000020200000-2000-2000000000
χ2222222222-2-2-2-2-2-222-22-22000022-2-2000000-20-20000020002000000000
χ2322222222-2-2-2-2-2-222-22-220000-2-22200000020-200000-20002000000000
χ2422222222-2-2-2-2-2-222-22-220000-2-222000000-202000002000-2000000000
χ25222-2-22-2-222-2-22-2-2-222-222i2i−2i−2i000000002-200000000002i−2i0000000000
χ26222-2-22-2-222-2-22-2-2-222-222i2i−2i−2i00000000-220000000000−2i2i0000000000
χ27222-2-22-2-222-2-22-2-2-222-22−2i−2i2i2i000000002-20000000000−2i2i0000000000
χ28222-2-22-2-222-2-22-2-2-222-22−2i−2i2i2i00000000-2200000000002i−2i0000000000
χ2922-22-2-22-22-22-2-2-22-2222-22i−2i2i−2i000000000000002i−2i2-200000000000000
χ3022-22-2-22-22-22-2-2-22-2222-22i−2i2i−2i00000000000000−2i2i-2200000000000000
χ3122-22-2-22-22-22-2-2-22-2222-2−2i2i−2i2i000000000000002i−2i-2200000000000000
χ3222-22-2-22-22-22-2-2-22-2222-2−2i2i−2i2i00000000000000−2i2i2-200000000000000
χ3322-2-22-2-222-2-22-22-2222-2-22-2-222i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ3422-2-22-2-222-2-22-22-2222-2-22-2-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ3522-2-22-2-222-2-22-22-2222-2-2-222-22i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ3622-2-22-2-222-2-22-22-2222-2-2-222-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ3722-2-22-2-22-222-22-2-22-222-200002i−2i−2i2i000000000000000000002i−2i002-200
χ3822-2-22-2-22-222-22-2-22-222-200002i−2i−2i2i00000000000000000000−2i2i00-2200
χ3922-2-22-2-22-222-22-2-22-222-20000−2i2i2i−2i000000000000000000002i−2i00-2200
χ4022-2-22-2-22-222-22-2-22-222-20000−2i2i2i−2i00000000000000000000−2i2i002-200
χ4122-2-22-2-22-222-2-222-22-2-22000000002i−2i−2i2i0000000000000000002i−2i002-2
χ4222-2-22-2-22-222-2-222-22-2-22000000002i−2i−2i2i000000000000000000−2i2i00-22
χ4322-2-22-2-22-222-2-222-22-2-2200000000−2i2i2i−2i0000000000000000002i−2i00-22
χ4422-2-22-2-22-222-2-222-22-2-2200000000−2i2i2i−2i000000000000000000−2i2i002-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000
χ46444-4-44-4-444-4-4-4444-4-44-4000000000000000000000000000000000000
χ47444-4-44-4-4-4-4444-4444-4-4-4000000000000000000000000000000000000
χ48444-4-44-4-4-4-444-44-4-4-4444000000000000000000000000000000000000
χ4944-44-4-44-44-44-444-44-4-4-44000000000000000000000000000000000000
χ5044-44-4-44-4-44-44444-4-44-4-4000000000000000000000000000000000000
χ5144-44-4-44-4-44-44-4-4-444-444000000000000000000000000000000000000
χ5244-4-44-4-444-4-444-44-4-4-444000000000000000000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000000
χ548-88-8-8-888000000000000000000000000000000000000000000000000
χ558-8-88-88-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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