Finite Group Databasebeta

← Group #290785

Character table — Group #290785

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1111-111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-111-1-1-1-111-11-1-111-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-111-1-1-1-111-11-1-1-1-1-1111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-111-1-1-1-1-1-11-111111-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-111-1-1-1-1-1-11-111-1-11-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-200002-22-22-200000000022-2000-200000000000000
χ2222222222-2-2-2-222-2-200002-22-22-2000000000-2-22000200000000000000
χ2322222222-2-2-2-222-2-20000-22-22-220000002-2200000-2000000000000000
χ2422222222-2-2-2-222-2-20000-22-22-22000000-22-2000002000000000000000
χ2522222222-2-2-2-2-2-22200002-22-2-220000000002-22000-200000000000000
χ2622222222-2-2-2-2-2-22200002-22-2-22000000000-22-2000200000000000000
χ2722222222-2-2-2-2-2-2220000-22-222-20000002-2-2000002000000000000000
χ2822222222-2-2-2-2-2-2220000-22-222-2000000-22200000-2000000000000000
χ2922-22-2-2-222-22-200002i2i−2i−2i2-2-22002i−2i000000000000000000002-2002i−2i00
χ3022-22-2-2-222-22-200002i2i−2i−2i2-2-22002i−2i00000000000000000000-2200−2i2i00
χ3122-22-2-2-222-22-200002i2i−2i−2i-222-200−2i2i00000000000000000000002i−2i002-2
χ3222-22-2-2-222-22-200002i2i−2i−2i-222-200−2i2i0000000000000000000000−2i2i00-22
χ3322-22-2-2-222-22-20000−2i−2i2i2i2-2-2200−2i2i000000000000000000002-200−2i2i00
χ3422-22-2-2-222-22-20000−2i−2i2i2i2-2-2200−2i2i00000000000000000000-22002i−2i00
χ3522-22-2-2-222-22-20000−2i−2i2i2i-222-2002i−2i00000000000000000000002i−2i00-22
χ3622-22-2-2-222-22-20000−2i−2i2i2i-222-2002i−2i0000000000000000000000−2i2i002-2
χ37444-44-4-4-44-4-4400000000000000004-400000000000000000000000000
χ38444-44-4-4-44-4-440000000000000000-4400000000000000000000000000
χ39444-44-4-4-4-444-400004-44-4000000000000000000000000000000000000
χ40444-44-4-4-4-444-40000-44-44000000000000000000000000000000000000
χ4144-44-4-4-44-44-440000000044-4-400000000000000000000000000000000
χ4244-44-4-4-44-44-4400000000-4-44400000000000000000000000000000000
χ4344-4-4-444-444-4-40000000000000000004-4000000000000000000000000
χ4444-4-4-444-444-4-4000000000000000000-44000000000000000000000000
χ4544-4-4-444-4-4-44400004i−4i−4i4i000000000000000000000000000000000000
χ4644-4-4-444-4-4-4440000−4i4i4i−4i000000000000000000000000000000000000
χ474-44-4-44-440000004i−4i00000000000000000000002i−2i002-2000000000000
χ484-44-4-44-440000004i−4i0000000000000000000000−2i2i00-22000000000000
χ494-44-4-44-44000000−4i4i00000000000000000000002i−2i00-22000000000000
χ504-44-4-44-44000000−4i4i0000000000000000000000−2i2i002-2000000000000
χ514-4-4444-4-400004i−4i0000000000000000000000000000002i−2i2-200000000
χ524-4-4444-4-400004i−4i000000000000000000000000000000−2i2i-2200000000
χ534-4-4444-4-40000−4i4i0000000000000000000000000000002i−2i-2200000000
χ544-4-4444-4-40000−4i4i000000000000000000000000000000−2i2i2-200000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-8-8-88-888000000000000000000000000000000000000000000000000

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