Finite Group Databasebeta

← Group #329365

Character table — Group #329365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888244444448888888844
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
χ5111111111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1
χ91111111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-11-11-1-111-111-1-111-1-11-1
χ101111111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-11-111-1-1111-1-1-1-111-11
χ111111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111111-11-1-111-1-1-111-1-111-11
χ121111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11-111-1-11-1-11111-1-11-1
χ131111111111111111-1-11-1-1-1-11-1-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-11
χ141111111111111111-1-11-1-1-1-11-1-1-1-1-111111111-1-1-1-1-11-1-1-1111-1-111-1-1111-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-111111-1111-1-1-111-1-1-1-1111-1
χ161111111111111111-1-11-1-1-1-11-1-1-1-1-11111-1-1-1-11111-11-1-1-111111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-2-2-2-222-2-22-2-22200000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2-2-222222-2-200000000000000000000000000
χ1922222222222-2-2-2-22-2-2-22222-222-2-2-222-2-200000000000000000000000000
χ2022222222222-2-2-2-22-2-2-22222-2-2-222-2-2-22200000000000000000000000000
χ2122222222-2-2-22222-222-222-2-2-20000-20000000000002-2-2000020000000000
χ2222222222-2-2-22222-222-222-2-2-20000-2000000000000-2220000-20000000000
χ2322222222-2-2-22222-2-2-2-2-2-222-20000200000000000022-20000-20000000000
χ2422222222-2-2-22222-2-2-2-2-2-222-200002000000000000-2-22000020000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22220000-20000000000000002-22-200000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22220000-2000000000000000-22-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-22000020000000000000002-2-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-2200002000000000000000-222-200000000000
χ292-22-22-2-2222-20000-20002-22-202i−2i0002i−2i00i2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ302-22-22-2-2222-20000-20002-22-202i−2i0002i−2i00−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ312-22-22-2-2222-20000-20002-22-20−2i2i000−2i2i00i2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ322-22-22-2-2222-20000-20002-22-20−2i2i000−2i2i00−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ332-22-22-2-2222-20000-2000-22-2202i−2i000−2i2i00i2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ342-22-22-2-2222-20000-2000-22-2202i−2i000−2i2i00−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ352-22-22-2-2222-20000-2000-22-220−2i2i0002i−2i00i2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ362-22-22-2-2222-20000-2000-22-220−2i2i0002i−2i00−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ37444-4-44-4-40004-44-4000000000000000000000000000000000000000022−2200
χ38444-4-44-4-40004-44-40000000000000000000000000000000000000000−222200
χ39444-4-44-4-4000-44-440000000000000000000000000000000000000022−220000
χ40444-4-44-4-4000-44-4400000000000000000000000000000000000000−22220000
χ4144-44-4-4-44000000004-40000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ4244-44-4-4-44000000004-4000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ4344-44-4-4-4400000000-440000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ4444-44-4-4-4400000000-44000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ4544-4-44-44-44-440000-400000000004-40000000000000000000000000000000
χ4644-4-44-44-44-440000-40000000000-440000000000000000000000000000000
χ4744-4-44-44-4-44-4000040000000000000004i−4i00000000000000000000000000
χ4844-4-44-44-4-44-400004000000000000000−4i4i00000000000000000000000000
χ494-44-44-4-44-4-44000040004-4-44000000000000000000000000000000000000
χ504-44-44-4-44-4-4400004000-444-4000000000000000000000000000000000000
χ514-4-4444-4-44-4-444-4-440040000-400000000000000000000000000000000000
χ524-4-4444-4-44-4-4-4-444400-40000400000000000000000000000000000000000
χ534-4-4444-4-4-44444-4-4-400-40000400000000000000000000000000000000000
χ544-4-4444-4-4-444-4-444-40040000-400000000000000000000000000000000000
χ554-4-4-4-44440004-4-4400000000000000000022−22−22220000000000000000000000
χ564-4-4-4-44440004-4-44000000000000000000−222222−220000000000000000000000
χ574-4-4-4-4444000-444-4000000000000000000000022−22−2222000000000000000000
χ584-4-4-4-4444000-444-40000000000000000000000−222222−22000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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