Finite Group Databasebeta

← Group #246309

Character table — Group #246309

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-11-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111
χ411111111111111111111-1-11111-1-11-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11111-1-1111-11-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-1111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-111-1-1-1-111-111-1-11-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-111-1-1-1-111-111-1-11-1-1-1-1-11111-1-1-1-11111
χ91111111111111-1-11111111-1-111-1-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-11111-11-1-1-1-111-111-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-1-1-1-11111-11-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ131111111111111-1-1111-1-111-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-111-1-1-1-1-1-1-111-1-11-111-1-111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-11111-1111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-20022-2-2002220-2000-2000000000000000000
χ18222222222222-222-2-2-200-2-2-2-200-2-22020002000000000000000000
χ19222222222222-2-2-2-2-2-200222200-2-2-20-20002000000000000000000
χ20222222222222-2-2-2-2-2-200-2-2220022-202000-2000000000000000000
χ2122222222-2-2-2-2222-2-2222002-2-2-200-20000-20020000000000000000
χ2222222222-2-2-2-2222-2-22-2-2002-22200-20000200-20000000000000000
χ2322222222-2-2-2-22-2-2-2-222200-22-2-20020000200-20000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-200-22220020000-20020000000000000000
χ2522222222-2-2-2-2-22222-20000-220000-2202-200-200000000000000000
χ2622222222-2-2-2-2-22222-20000-220000-2-20-2200200000000000000000
χ2722222222-2-2-2-2-2-2-222-200002-20000220-2200-200000000000000000
χ2822222222-2-2-2-2-2-2-222-200002-200002-202-200200000000000000000
χ292-2-2-2-22222-22-2-2002-222-200002-200000000000002-200000000002-2
χ302-2-2-2-22222-22-2-2002-222-200002-20000000000000-220000000000-22
χ312-2-2-2-22222-22-2-2002-22-220000-2200000000000002-20000000000-22
χ322-2-2-2-22222-22-2-2002-22-220000-220000000000000-2200000000002-2
χ332-2-2-2-2222-22-22-200-2222-20000-22000000000002-200000000002-200
χ342-2-2-2-2222-22-22-200-2222-20000-2200000000000-220000000000-2200
χ352-2-2-2-2222-22-22-200-222-2200002-2000000000002-20000000000-2200
χ362-2-2-2-2222-22-22-200-222-2200002-200000000000-2200000000002-200
χ37444-4-4-44-444-4-4000000000000004-40000000000000000000000000
χ38444-4-4-44-444-4-400000000000000-440000000000000000000000000
χ39444-4-4-44-4-4-444000000004i−4i0000000000000000000000000000000
χ40444-4-4-44-4-4-44400000000−4i4i0000000000000000000000000000000
χ4144-44-4-4-44000004-4000000000000000000000000002i−2i2i−2i00000000
χ4244-44-4-4-44000004-400000000000000000000000000−2i2i−2i2i00000000
χ4344-44-4-4-4400000-44000000000000000000000000002i−2i−2i2i00000000
χ4444-44-4-4-4400000-4400000000000000000000000000−2i2i2i−2i00000000
χ454-4-444-44-44-4-440000000000000000000000000000000002i2−2i2000000
χ464-4-444-44-44-4-44000000000000000000000000000000000−2i22i2000000
χ474-4-444-44-4-444-4000000000000000000000000000000000002i2−2i20000
χ484-4-444-44-4-444-400000000000000000000000000000000000−2i22i20000
χ494-4-4-4-44444-44-4400-44-400000000000000000000000000000000000
χ504-4-4-4-4444-44-444004-4-400000000000000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-888-88-8-8000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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