Finite Group Databasebeta

← Group #469682

Character table — Group #469682

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12442222222444444422442444444444224444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1111111-1-1-1-1-1-111-1-111
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-11111-1-111-1-111
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1-1-11111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ172222-2-2-2-2222222-2-2-2-22222-2-222-2-222-2-2000000000000000000000000
χ182222-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-222000000000000000000000000
χ192222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ202222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ2122-2-22222222-2-2-2-2-2-2-222-2-22-200000000000000000000000000002i−2i2i−2i
χ2222-2-22222222-2-2-2-2-2-2-222-2-22-20000000000000000000000000000−2i2i−2i2i
χ2322-2-22222222-2-2-2-2-2-2-2-2-222-2200000000000000000000000000002i−2i−2i2i
χ2422-2-22222222-2-2-2-2-2-2-2-2-222-220000000000000000000000000000−2i2i2i−2i
χ2522-2-222-2-22-2-222-222-2-200000000002i−2i2i−2i00002-2002i−2i00000000000000
χ2622-2-222-2-22-2-222-222-2-200000000002i−2i2i−2i0000-2200−2i2i00000000000000
χ2722-2-222-2-22-2-222-222-2-20000000000−2i2i−2i2i00002-200−2i2i00000000000000
χ2822-2-222-2-22-2-222-222-2-20000000000−2i2i−2i2i0000-22002i−2i00000000000000
χ2922-2-22-22-2-22-22-222-22-20000002i−2i2i−2i00000000002-2002i−2i000000000000
χ3022-2-22-22-2-22-22-222-22-20000002i−2i2i−2i0000000000-2200−2i2i000000000000
χ3122-2-22-22-2-22-22-222-22-2000000−2i2i−2i2i00000000002-200−2i2i000000000000
χ3222-2-22-22-2-22-22-222-22-2000000−2i2i−2i2i0000000000-22002i−2i000000000000
χ3322-2-2-22-22-22-22-22-22-220000002i−2i−2i2i0000020-200000000002i−2i00000000
χ3422-2-2-22-22-22-22-22-22-220000002i−2i−2i2i00000-2020000000000−2i2i00000000
χ3522-2-2-22-22-22-22-22-22-22000000−2i2i2i−2i0000020-20000000000−2i2i00000000
χ3622-2-2-22-22-22-22-22-22-22000000−2i2i2i−2i00000-20200000000002i−2i00000000
χ3722-2-2-2-2222-2-222-2-2-22200000000002i−2i−2i2i20-20000000002i−2i0000000000
χ3822-2-2-2-2222-2-222-2-2-22200000000002i−2i−2i2i-202000000000−2i2i0000000000
χ3922-2-2-2-2222-2-222-2-2-2220000000000−2i2i2i−2i20-2000000000−2i2i0000000000
χ4022-2-2-2-2222-2-222-2-2-2220000000000−2i2i2i−2i-2020000000002i−2i0000000000
χ4122-2-2-2-2-2-2222-2-2-2222222-2-2-220000000000000000000000002-22-20000
χ4222-2-2-2-2-2-2222-2-2-2222222-2-2-22000000000000000000000000-22-220000
χ4322-2-2-2-2-2-2222-2-2-22222-2-2222-20000000000000000000000002-2-220000
χ4422-2-2-2-2-2-2222-2-2-22222-2-2222-2000000000000000000000000-222-20000
χ45444444-4-44-4-4-4-44-4-44400000000000000000000000000000000000000
χ4644444-44-4-44-4-44-4-44-4400000000000000000000000000000000000000
χ4744444-4-44-4-444-4-44-4-4400000000000000000000000000000000000000
χ484444-444-4-4-444-4-4-444-400000000000000000000000000000000000000
χ494444-44-44-44-4-44-44-44-400000000000000000000000000000000000000
χ504444-4-4444-4-4-4-4444-4-400000000000000000000000000000000000000
χ5144-4-44-4-44-4-44-444-444-400000000000000000000000000000000000000
χ5244-4-4-444-4-4-44-4444-4-4400000000000000000000000000000000000000
χ538-88i−8i000000000000004-44i−4i0000000000000000000000000000000000
χ548-88i−8i00000000000000-44−4i4i0000000000000000000000000000000000
χ558-8−8i8i000000000000004-4−4i4i0000000000000000000000000000000000
χ568-8−8i8i00000000000000-444i−4i0000000000000000000000000000000000

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