Finite Group Databasebeta

← Group #470977

Character table — Group #470977

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222222222888888888888161616161616161616161616161616161616161616161616
order12224444222222444444444488888888444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111
χ17222222222-2-22-2-22-2-2-22-20000000022-2-2000000000000002i−2i2i−2i000000
χ18222222222-2-22-2-22-2-2-22-20000000022-2-200000000000000−2i2i−2i2i000000
χ19222222222-2-22-2-22-2-2-22-200000000-2-222000000000000002i−2i−2i2i000000
χ20222222222-2-22-2-22-2-2-22-200000000-2-22200000000000000−2i2i2i−2i000000
χ2122222222-22-2-22-2-222-2-2-222-2-200000000002i−2i000000000000002i−2i0000
χ2222222222-22-2-22-2-222-2-2-222-2-20000000000−2i2i00000000000000−2i2i0000
χ2322222222-22-2-22-2-222-2-2-2-2-22200000000002i−2i00000000000000−2i2i0000
χ2422222222-22-2-22-2-222-2-2-2-2-2220000000000−2i2i000000000000002i−2i0000
χ252222-2-2-2-22-2-22-2-2-2222-222i−2i2i−2i000000002-2000000002i−2i000000000000
χ262222-2-2-2-22-2-22-2-2-2222-222i−2i2i−2i00000000-2200000000−2i2i000000000000
χ272222-2-2-2-22-2-22-2-2-2222-22−2i2i−2i2i000000002-200000000−2i2i000000000000
χ282222-2-2-2-22-2-22-2-2-2222-22−2i2i−2i2i00000000-22000000002i−2i000000000000
χ292222-2-2-2-2-22-2-22-22-2-2222000000002-22-2000000002i−2i002i−2i0000000000
χ302222-2-2-2-2-22-2-22-22-2-2222000000002-22-200000000−2i2i00−2i2i0000000000
χ312222-2-2-2-2-22-2-22-22-2-222200000000-22-22000000002i−2i00−2i2i0000000000
χ322222-2-2-2-2-22-2-22-22-2-222200000000-22-2200000000−2i2i002i−2i0000000000
χ332222-2-2-2-2-2-22-2-22222-22-22i−2i−2i2i2i2i−2i−2i2-2-22000000000000000000000000
χ342222-2-2-2-2-2-22-2-22222-22-22i−2i−2i2i−2i−2i2i2i-222-2000000000000000000000000
χ352222-2-2-2-2-2-22-2-22222-22-2−2i2i2i−2i2i2i−2i−2i-222-2000000000000000000000000
χ362222-2-2-2-2-2-22-2-22222-22-2−2i2i2i−2i−2i−2i2i2i2-2-22000000000000000000000000
χ3722-2-222-2-2-2222-2-2-22-2-22200002i−2i2i−2i000000002i−2i00000000000000002-2
χ3822-2-222-2-2-2222-2-2-22-2-22200002i−2i2i−2i00000000−2i2i0000000000000000-22
χ3922-2-222-2-2-2222-2-2-22-2-2220000−2i2i−2i2i000000002i−2i0000000000000000-22
χ4022-2-222-2-2-2222-2-2-22-2-2220000−2i2i−2i2i00000000−2i2i00000000000000002-2
χ4122-2-2-2-2222-22-22-2-22-222-200002-2-2200000000002i−2i0000000000002i−2i00
χ4222-2-2-2-2222-22-22-2-22-222-200002-2-220000000000−2i2i000000000000−2i2i00
χ4322-2-2-2-2222-22-22-2-22-222-20000-222-200000000002i−2i000000000000−2i2i00
χ4422-2-2-2-2222-22-22-2-22-222-20000-222-20000000000−2i2i0000000000002i−2i00
χ4544444444-4-44-4-44-4-4-44-44000000000000000000000000000000000000
χ464444-4-4-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000
χ4744-4-444-4-444-4-4-4444-44-4-4000000000000000000000000000000000000
χ4844-4-444-4-44-44-44-44-44-4-44000000000000000000000000000000000000
χ4944-4-444-4-4-4-4-4444-4-4444-4000000000000000000000000000000000000
χ5044-4-4-4-44444-4-4-44-4-44-444000000000000000000000000000000000000
χ5144-4-4-4-444-4444-4-44-444-4-4000000000000000000000000000000000000
χ5244-4-4-4-444-4-4-444444-4-4-44000000000000000000000000000000000000
χ538-88-88i−8i8i−8i000000000000000000000000000000000000000000000000
χ548-88-8−8i8i−8i8i000000000000000000000000000000000000000000000000
χ558-8-888i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000

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