Finite Group Databasebeta

← Group #258277

Character table — Group #258277

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-11-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1111111-1-11-1-1-111-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-11-1-1-11-1-111-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-11-1-1-11-1-111-1-1-11-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-1-1-111-111-1-1-1-11-11111-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-1-111-111-1-1-1-11-11-1-1111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-111-11-11111-1-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-111-11-111-1-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-11111-111-111-1-11-111-1-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-1-1-11111-111-111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-111-1-1-1-1-11-1111-1-1111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-111-1-1-1-1-11-1111-1-1-1-111111-1-111-1-1-1-111
χ17222222222222-222-2-2-222-2-2220020000-2000-200000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200200002000200000000000000000
χ19222222222222-2-2-2-2-2-22222-2-200-200002000-200000000000000000
χ20222222222222-2-2-2-2-2-2-2-2222200-20000-2000200000000000000000
χ2122222222-2-2-2-2222-2-22002-20000-20002002-2000-200000000000000
χ2222222222-2-2-2-2222-2-22002-20000-2000-200-22000200000000000000
χ2322222222-2-2-2-22-2-2-2-2200-2200002000200-2-2000200000000000000
χ2422222222-2-2-2-22-2-2-2-2200-2200002000-20022000-200000000000000
χ2522222222-2-2-2-2-22222-200-220022-2-2-2-200200000000000000000000
χ2622222222-2-2-2-2-22222-200-2200-2-2-222200-200000000000000000000
χ2722222222-2-2-2-2-2-2-222-2002-200222-2-2200-200000000000000000000
χ2822222222-2-2-2-2-2-2-222-2002-200-2-2222-200200000000000000000000
χ292-222-2-22-222-2-2-2002-220000002i−2i02i−2i00000000002i−2i0000002-20000
χ302-222-2-22-222-2-2-2002-220000002i−2i02i−2i0000000000−2i2i000000-220000
χ312-222-2-22-222-2-2-2002-22000000−2i2i0−2i2i00000000002i−2i000000-220000
χ322-222-2-22-222-2-2-2002-22000000−2i2i0−2i2i0000000000−2i2i0000002-20000
χ332-222-2-22-2-2-2222002-2-20000002i−2i0−2i2i00000002-200000002i−2i000000
χ342-222-2-22-2-2-2222002-2-20000002i−2i0−2i2i0000000-220000000−2i2i000000
χ352-222-2-22-2-2-2222002-2-2000000−2i2i02i−2i00000002-20000000−2i2i000000
χ362-222-2-22-2-2-2222002-2-2000000−2i2i02i−2i0000000-2200000002i−2i000000
χ37444-44-4-4-44-44-40000004-4000000000000000000000000000000000
χ38444-44-4-4-44-44-4000000-44000000000000000000000000000000000
χ39444-44-4-4-4-44-4400000000004i−4i00000000000000000000000000000
χ40444-44-4-4-4-44-440000000000−4i4i00000000000000000000000000000
χ414-444-4-44-444-4-4400-44-400000000000000000000000000000000000
χ424-444-4-44-4-4-444-400-44400000000000000000000000000000000000
χ434-44-4-44-444-4-4400000000000000000000000000000000000000022−22
χ444-44-4-44-444-4-44000000000000000000000000000000000000000−2222
χ454-44-4-44-44-444-400000000000000000000000000000000000002i2−2i200
χ464-44-4-44-44-444-40000000000000000000000000000000000000−2i22i200
χ474-4-4-4444-4000004i−4i000000000000000000000000002-22i−2i00000000
χ484-4-4-4444-4000004i−4i00000000000000000000000000-22−2i2i00000000
χ494-4-4-4444-400000−4i4i000000000000000000000000002-2−2i2i00000000
χ504-4-4-4444-400000−4i4i00000000000000000000000000-222i−2i00000000
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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