Finite Group Databasebeta

← Group #327107

Character table — Group #327107

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444422224444488888888244444448888888844
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
χ5111111111111111111111111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111111111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2-2-2-2-222222-2-2-2-200000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000
χ192222222222-2-222-2-2-2-22222-2-222-2-2-2-2-22200000000000000000000000000
χ202222222222-2-222-2-2-2-22222-2-2-2-222-222-2-200000000000000000000000000
χ2122222222-2-222-2-2222222-2-2-2-20000-20000000000002-2002-2000000000000
χ2222222222-2-222-2-2222222-2-2-2-20000-2000000000000-2200-22000000000000
χ2322222222-2-222-2-222-2-2-2-222-2-2000020000000000002-200-22000000000000
χ2422222222-2-222-2-222-2-2-2-222-2-200002000000000000-22002-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222220000-2000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222220000-200000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200002000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220000200000000000000-22002-20000000000
χ2922-22-22-2-22-2002-200002i−2i2i−2i00002-202i−2i00i2i2−i2−i222−2−2000000002−2i2−i2000000
χ3022-22-22-2-22-2002-200002i−2i2i−2i00002-202i−2i00−i2−i2i2i2−2−22200000000−22−i2i2000000
χ3122-22-22-2-22-2002-200002i−2i2i−2i0000-220−2i2i00i2i2−i2−i222−2−200000000−22−i2i2000000
χ3222-22-22-2-22-2002-200002i−2i2i−2i0000-220−2i2i00−i2−i2i2i2−2−222000000002−2i2−i2000000
χ3322-22-22-2-22-2002-20000−2i2i−2i2i00002-20−2i2i00i2i2−i2−i2−2−22200000000−22i2−i2000000
χ3422-22-22-2-22-2002-20000−2i2i−2i2i00002-20−2i2i00−i2−i2i2i222−2−2000000002−2−i2i2000000
χ3522-22-22-2-22-2002-20000−2i2i−2i2i0000-2202i−2i00i2i2−i2−i2−2−222000000002−2−i2i2000000
χ3622-22-22-2-22-2002-20000−2i2i−2i2i0000-2202i−2i00−i2−i2i2i222−2−200000000−22i2−i2000000
χ3744-44-44-4-4-4400-4400004i−4i−4i4i0000000000000000000000000000000000000
χ3844-44-44-4-4-4400-440000−4i4i4i−4i0000000000000000000000000000000000000
χ3944-4-44-44-4004-4004-40000000000000000000000000000000000000002i2−2i200
χ4044-4-44-44-4004-4004-4000000000000000000000000000000000000000−2i22i200
χ4144-4-44-44-400-4400-4400000000000000000000000000000000000002i2−2i20000
χ4244-4-44-44-400-4400-440000000000000000000000000000000000000−2i22i20000
χ434-4444-4-4-44400-4-400000000004-4000000000000000000000000000000000
χ444-4444-4-4-44400-4-40000000000-44000000000000000000000000000000000
χ454-4444-4-4-4-4-40044000000000000000004i−4i00000000000000000000000000
χ464-4444-4-4-4-4-4004400000000000000000−4i4i00000000000000000000000000
χ474-44-4-444-4004400-4-4000000000000000002i2−2i22i2−2i20000000000000000000000
χ484-44-4-444-4004400-4-400000000000000000−2i22i2−2i22i20000000000000000000000
χ494-44-4-444-400-4-4004400000000000000000000022−2222−22000000000000000000
χ504-44-4-444-400-4-40044000000000000000000000−2222−2222000000000000000000
χ514-4-44-4-4444-44-4-44-440000004-400000000000000000000000000000000000
χ524-4-44-4-4444-4-44-444-4000000-4400000000000000000000000000000000000
χ534-4-44-4-444-444-44-4-44000000-4400000000000000000000000000000000000
χ544-4-44-4-444-44-444-44-40000004-400000000000000000000000000000000000
χ554-4-4-444-44000000004-40000000000000002-2-222-2-22000000000000000000
χ564-4-4-444-44000000004-4000000000000000-222-2-222-2000000000000000000
χ574-4-4-444-4400000000-440000000000000002-2-22-222-2000000000000000000
χ584-4-4-444-4400000000-44000000000000000-222-22-2-22000000000000000000
χ59888-8-8-8-88000000000000000000000000000000000000000000000000000

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