Finite Group Databasebeta

← Group #328719

Character table — Group #328719

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888244444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-1-1-11-1-11-11111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-11-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-11111-1-1-11
χ111111111111111111-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111-1-111-11
χ121111111111111111-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-1-1111-1
χ131111111111111111-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-11-1-1111-1-111-1-1-1-111-11
χ141111111111111111-1-1-1-11-1-11-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-111-1-1111-1
χ151111111111111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1
χ161111111111111111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-222-2-2000000000000000022-200-2000000000000
χ1822222222222-2-2-2-2222-2-2-222-2-20000000000000000-2-22002000000000000
χ1922222222222-2-2-2-22-2-222-2-2-2-2200000000000000002-2200-2000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-220000000000000000-22-2002000000000000
χ2122222222-2-2-22222-222-2-2-2-2-2-2222-2-2-2-22200000000000000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-22-2-22222-2-200000000000000000000000000
χ2322222222-2-2-22222-2-2-222-222-2-222-2-222-2-200000000000000000000000000
χ2422222222-2-2-22222-2-2-222-222-2-2-2-222-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-22-200000000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-20000000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222200000000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000000-2202-20000000000
χ2922-22-2-2-220002-22-20002i−2i02i−2i002-2002i−2i0022−2−2i2i2−i2−i20000000000002−2i2−i200
χ3022-22-2-2-220002-22-20002i−2i02i−2i002-2002i−2i00−2−222−i2−i2i2i2000000000000−22−i2i200
χ3122-22-2-2-220002-22-20002i−2i02i−2i00-2200−2i2i0022−2−2i2i2−i2−i2000000000000−22−i2i200
χ3222-22-2-2-220002-22-20002i−2i02i−2i00-2200−2i2i00−2−222−i2−i2i2i20000000000002−2i2−i200
χ3322-22-2-2-220002-22-2000−2i2i0−2i2i002-200−2i2i0022−2−2−i2−i2i2i20000000000002−2−i2i200
χ3422-22-2-2-220002-22-2000−2i2i0−2i2i002-200−2i2i00−2−222i2i2−i2−i2000000000000−22i2−i200
χ3522-22-2-2-220002-22-2000−2i2i0−2i2i00-22002i−2i0022−2−2−i2−i2i2i2000000000000−22i2−i200
χ3622-22-2-2-220002-22-2000−2i2i0−2i2i00-22002i−2i00−2−222i2i2−i2−i20000000000002−2−i2i200
χ37444-4-44-4-444-40000-400000000000000000000022−2222−22000000000000000000
χ38444-4-44-4-444-40000-4000000000000000000000−2222−2222000000000000000000
χ39444-4-44-4-4-4-4400004000000000000000002i2−2i22i2−2i20000000000000000000000
χ40444-4-44-4-4-4-440000400000000000000000−2i22i2−2i22i20000000000000000000000
χ4144-44-4-4-44000-44-440004i−4i0−4i4i000000000000000000000000000000000000
χ4244-44-4-4-44000-44-44000−4i4i04i−4i000000000000000000000000000000000000
χ4344-4-44-44-4000000004-40000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ4444-4-44-44-4000000004-4000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ4544-4-44-44-400000000-440000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ4644-4-44-44-400000000-44000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ474-4444-4-4-44-440000-400000000000000000000000000000000022−2200000000
χ484-4444-4-4-44-440000-4000000000000000000000000000000000−222200000000
χ494-4444-4-4-4-44-400004000000000000000000000000000000000002i2−2i2000000
χ504-4444-4-4-4-44-40000400000000000000000000000000000000000−2i22i2000000
χ514-44-4-4-4444-4-444-4-440000-400400000000000000000000000000000000000
χ524-44-4-4-4444-4-4-4-44440000400-400000000000000000000000000000000000
χ534-44-4-4-444-44444-4-4-40000400-400000000000000000000000000000000000
χ544-44-4-4-444-444-4-444-40000-400400000000000000000000000000000000000
χ554-4-4-444-440004-4-4400000000000000004-400000000000000000000000000
χ564-4-4-444-440004-4-440000000000000000-4400000000000000000000000000
χ574-4-4-444-44000-444-40000000000004-4000000000000000000000000000000
χ584-4-4-444-44000-444-4000000000000-44000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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