Finite Group Databasebeta

← Group #327748

Character table — Group #327748

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444424444444488888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-22222-2-2-2-2-200000000000000002-22-200000000000000
χ182222222222-2-222-2-22222-2-2-2-2-20000000000000000-22-2200000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2200000000000000002-2-2200000000000000
χ202222222222-2-222-2-2-2-2-2-222-2-220000000000000000-222-200000000000000
χ2122222222-2-222-2-22222-2-222-2-2-222-2-222-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-222-2-2-2-2-222-2-22200000000000000000000000000
χ2322222222-2-222-2-222-2-222-2-2-2-2222-2-2-2-22200000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-22-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222200000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000-222-20000000000
χ2922-2-222-2-2002-2002-22i−2i002i−2i000002i−2i002-2i2i2−i2−i222−2−2000000002−2i2−i2000000
χ3022-2-222-2-2002-2002-22i−2i002i−2i000002i−2i002-2−i2−i2i2i2−2−22200000000−22−i2i2000000
χ3122-2-222-2-2002-2002-22i−2i002i−2i00000−2i2i00-22i2i2−i2−i222−2−200000000−22−i2i2000000
χ3222-2-222-2-2002-2002-22i−2i002i−2i00000−2i2i00-22−i2−i2i2i2−2−222000000002−2i2−i2000000
χ3322-2-222-2-2002-2002-2−2i2i00−2i2i000002i−2i00-22i2i2−i2−i2−2−222000000002−2−i2i2000000
χ3422-2-222-2-2002-2002-2−2i2i00−2i2i000002i−2i00-22−i2−i2i2i222−2−200000000−22i2−i2000000
χ3522-2-222-2-2002-2002-2−2i2i00−2i2i00000−2i2i002-2i2i2−i2−i2−2−22200000000−22i2−i2000000
χ3622-2-222-2-2002-2002-2−2i2i00−2i2i00000−2i2i002-2−i2−i2i2i222−2−2000000002−2−i2i2000000
χ37444-4-4-44-44400-4-40000000000000000000000000000000000000000022−2200
χ38444-4-4-44-44400-4-400000000000000000000000000000000000000000−222200
χ39444-4-4-44-4-4-400440000000000000000000000000000000000000002i2−2i20000
χ40444-4-4-44-4-4-40044000000000000000000000000000000000000000−2i22i20000
χ4144-4-444-4-400-4400-444i−4i00−4i4i0000000000000000000000000000000000000
χ4244-4-444-4-400-4400-44−4i4i004i−4i0000000000000000000000000000000000000
χ434-444-44-4-4004400-4-400000000000004-40000000000000000000000000000
χ444-444-44-4-4004400-4-40000000000000-440000000000000000000000000000
χ454-444-44-4-400-4-400440000000004i−4i00000000000000000000000000000000
χ464-444-44-4-400-4-40044000000000−4i4i00000000000000000000000000000000
χ474-44-44-4-4400000000004i−4i00000000000002-22-22i−2i2i−2i000000000000000000
χ484-44-44-4-4400000000004i−4i0000000000000-22-22−2i2i−2i2i000000000000000000
χ494-44-44-4-440000000000−4i4i00000000000002-22-2−2i2i−2i2i000000000000000000
χ504-44-44-4-440000000000−4i4i0000000000000-22-222i−2i2i−2i000000000000000000
χ514-4-444-44-44-4004-4000000000000000000000002i2−2i2−2i22i2000000000000000000
χ524-4-444-44-44-4004-400000000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-444-44-4-4400-4400000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-4-444-44-4-4400-440000000000000000000−2i22i22i2−2i20000000000000000000000
χ554-4-4-4-44444-44-4-44-440000004-400000000000000000000000000000000000
χ564-4-4-4-44444-4-44-444-4000000-4400000000000000000000000000000000000
χ574-4-4-4-4444-444-44-4-44000000-4400000000000000000000000000000000000
χ584-4-4-4-4444-44-444-44-40000004-400000000000000000000000000000000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000

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