Finite Group Databasebeta

← Group #469733

Character table — Group #469733

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12442222222444444422444444444444442444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111
χ1722222-22-22-2-22-2-222-2-2000000002i2i−2i−2i0000002-2002i−2i00000000000000
χ1822222-22-22-2-22-2-222-2-2000000002i2i−2i−2i000000-2200−2i2i00000000000000
χ1922222-22-22-2-22-2-222-2-200000000−2i−2i2i2i0000002-200−2i2i00000000000000
χ2022222-22-22-2-22-2-222-2-200000000−2i−2i2i2i000000-22002i−2i00000000000000
χ2122222-2-2-2-222222-2-2-2-22-22-20000000000000000000000000000002i−2i2i−2i
χ2222222-2-2-2-222222-2-2-2-22-22-2000000000000000000000000000000−2i2i−2i2i
χ2322222-2-2-2-222222-2-2-2-2-22-220000000000000000000000000000002i−2i−2i2i
χ2422222-2-2-2-222222-2-2-2-2-22-22000000000000000000000000000000−2i2i2i−2i
χ252222-222-2-22-2-22-22-22-200002i2i−2i−2i0000000000002i−2i00002-20000000000
χ262222-222-2-22-2-22-22-22-200002i2i−2i−2i000000000000−2i2i0000-220000000000
χ272222-222-2-22-2-22-22-22-20000−2i−2i2i2i0000000000002i−2i0000-220000000000
χ282222-222-2-22-2-22-22-22-20000−2i−2i2i2i000000000000−2i2i00002-20000000000
χ2922-2-22222222-2-2-2-2-2-2-22-2-222-22-22-22-200000000000000000000000000
χ3022-2-22222222-2-2-2-2-2-2-22-2-22-22-22-22-2200000000000000000000000000
χ3122-2-22222222-2-2-2-2-2-2-2-222-22-22-2-22-2200000000000000000000000000
χ3222-2-22222222-2-2-2-2-2-2-2-222-2-22-222-22-200000000000000000000000000
χ3322-2-22-22-22-2-2-222-2-222000000002i−2i−2i2i2i2i−2i−2i000000002-2000000000000
χ3422-2-22-22-22-2-2-222-2-222000000002i−2i−2i2i−2i−2i2i2i00000000-22000000000000
χ3522-2-22-22-22-2-2-222-2-22200000000−2i2i2i−2i2i2i−2i−2i00000000-22000000000000
χ3622-2-22-22-22-2-2-222-2-22200000000−2i2i2i−2i−2i−2i2i2i000000002-2000000000000
χ3722-2-22-2-2-2-222-2-2-2222222-2-2000000000000000000000000002-22-20000
χ3822-2-22-2-2-2-222-2-2-2222222-2-200000000000000000000000000-22-220000
χ3922-2-22-2-2-2-222-2-2-22222-2-222000000000000000000000000002-2-220000
χ4022-2-22-2-2-2-222-2-2-22222-2-22200000000000000000000000000-222-20000
χ4122-2-2-222-2-22-22-22-22-2200002i−2i−2i2i000000002-200000000002i−2i00000000
χ4222-2-2-222-2-22-22-22-22-2200002i−2i−2i2i00000000-220000000000−2i2i00000000
χ4322-2-2-222-2-22-22-22-22-220000−2i2i2i−2i000000002-20000000000−2i2i00000000
χ4422-2-2-222-2-22-22-22-22-220000−2i2i2i−2i00000000-2200000000002i−2i00000000
χ45444444-44-4-4-44-4-4-4-44400000000000000000000000000000000000000
χ464444-44-4-44-44-4-44-444-400000000000000000000000000000000000000
χ474444-4-444-4-44-4-444-4-4400000000000000000000000000000000000000
χ484444-4-4-4444-4-44-4-44-4400000000000000000000000000000000000000
χ4944-4-444-44-4-4-4-44444-4-400000000000000000000000000000000000000
χ5044-4-4-44-4-44-4444-44-4-4400000000000000000000000000000000000000
χ5144-4-4-4-444-4-4444-4-444-400000000000000000000000000000000000000
χ5244-4-4-4-4-4444-44-444-44-400000000000000000000000000000000000000
χ538-88i−8i000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000000000
χ548-88i−8i00000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000
χ558-8−8i8i000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000000000
χ568-8−8i8i00000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000

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