Finite Group Databasebeta

← Group #328821

Character table — Group #328821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222222244444444442244444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-1-1-1-1-11-11-11111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-111-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-111-1-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111-1-11111-1-111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111-1-11111-1-111-1-1-1-11-11-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-11-111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111
χ172222222222222222-2-222-2-222-2-2-2-2-2-222000000000000000000000000
χ182222222222222222-2-222-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122222222-2-2-2-222222-2-2-22-2002-2000000020-200002-200000000000000
χ2222222222-2-2-2-222222-2-2-22-2002-20000000-2020000-2200000000000000
χ2322222222-2-2-2-22222-22-2-2-2200-2200000020-20002-20000000000000000
χ2422222222-2-2-2-22222-22-2-2-2200-22000000-202000-220000000000000000
χ2522222222-2-2-2-2-2-2-2-22-2222-200-22000000020-20000-2200000000000000
χ2622222222-2-2-2-2-2-2-2-22-2222-200-220000000-20200002-200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2222-22002-200000020-2000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2222-22002-2000000-2020002-20000000000000000
χ2922-2-222-2-22-22-22i2i−2i−2i002i−2i0000002i−2i2-20000000000000000002−2i2−i2i2−i22−2
χ3022-2-222-2-22-22-22i2i−2i−2i002i−2i0000002i−2i2-2000000000000000000−22−i2i2−i2i2−22
χ3122-2-222-2-22-22-22i2i−2i−2i002i−2i000000−2i2i-220000000000000000002−2i2−i2−i2i2−22
χ3222-2-222-2-22-22-22i2i−2i−2i002i−2i000000−2i2i-22000000000000000000−22−i2i2i2−i22−2
χ3322-2-222-2-22-22-2−2i−2i2i2i00−2i2i0000002i−2i-220000000000000000002−2−i2i2i2−i2−22
χ3422-2-222-2-22-22-2−2i−2i2i2i00−2i2i0000002i−2i-22000000000000000000−22i2−i2−i2i22−2
χ3522-2-222-2-22-22-2−2i−2i2i2i00−2i2i000000−2i2i2-20000000000000000002−2−i2i2−i2i22−2
χ3622-2-222-2-22-22-2−2i−2i2i2i00−2i2i000000−2i2i2-2000000000000000000−22i2−i2i2−i2−22
χ37444-4-4-44-400004-44-4000000000000000000002i−2i00002i−2i000000000000
χ38444-4-4-44-400004-44-400000000000000000000−2i2i0000−2i2i000000000000
χ39444-4-4-44-40000-44-44000000000000000000002i−2i0000−2i2i000000000000
χ40444-4-4-44-40000-44-4400000000000000000000−2i2i00002i−2i000000000000
χ4144-44-4-4-4400004i−4i−4i4i00000000000000000000000000002i−2i2-200000000
χ4244-44-4-4-4400004i−4i−4i4i0000000000000000000000000000−2i2i-2200000000
χ4344-44-4-4-440000−4i4i4i−4i00000000000000000000000000002i−2i-2200000000
χ4444-44-4-4-440000−4i4i4i−4i0000000000000000000000000000−2i2i2-200000000
χ4544-4-444-4-4-44-444i4i−4i−4i00−4i4i000000000000000000000000000000000000
χ4644-4-444-4-4-44-44−4i−4i4i4i004i−4i000000000000000000000000000000000000
χ474-4444-4-4-444-4-400004-400-440000000000000000000000000000000000
χ484-4444-4-4-444-4-40000-44004-40000000000000000000000000000000000
χ494-4444-4-4-4-4-44400004400-4-40000000000000000000000000000000000
χ504-4444-4-4-4-4-4440000-4-400440000000000000000000000000000000000
χ514-4-4-44-4444-4-440000000000000000004-4000000000000000000000000
χ524-4-4-44-4444-4-44000000000000000000-44000000000000000000000000
χ534-4-4-44-444-444-400000000004-400000000000000000000000000000000
χ544-4-4-44-444-444-40000000000-4400000000000000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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