Finite Group Databasebeta

← Group #258213

Character table — Group #258213

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422224444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111111-1-111111-1-1-1-111-111-11-1-11-111-1-11-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-1-1-111-111-11-1-11-1-1-1111-1-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-111-11-1111-1-1-1111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-111-11-11-1-111-11-1-11111-1-111-1-1
χ131111111111111-1-1111-1-111-1-111-111-1-11-1-1111-1-1-11-1-11111-1-1-1-111
χ141111111111111-1-1111-1-111-1-111-111-1-11-1-11-1-111-1111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-111-1-1-1-1-1-1-11-1111-111-1-11-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-111-1-1-1-1-1-1-11-1111-1-1-1111-111-1-111-1-1-1-111
χ17222222222222-222-2-2-22222-2-2002000-2-2000000000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200200022000000000000000000000
χ19222222222222-2-2-2-2-2-222-2-22200-2000-22000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2222200-20002-2000000000000000000000
χ2122222222-2-2-2-2222-2-2200002-200-2000000220000-2-2000000000000
χ2222222222-2-2-2-2222-2-2200002-200-2000000-2-2000022000000000000
χ2322222222-2-2-2-22-2-2-2-220000-220020000002-20000-22000000000000
χ2422222222-2-2-2-22-2-2-2-220000-22002000000-2200002-2000000000000
χ2522222222-2-2-2-2-22222-20000-2222-2-2-2-200200000000000000000000
χ2622222222-2-2-2-2-22222-20000-22-2-2-222200-200000000000000000000
χ2722222222-2-2-2-2-2-2-222-200002-2222-2-2200-200000000000000000000
χ2822222222-2-2-2-2-2-2-222-200002-2-2-2222-200200000000000000000000
χ292-2222-2-2-222-2-2-2002-220000002i−2i02i−2i000000002i−2i000000002-20000
χ302-2222-2-2-222-2-2-2002-220000002i−2i02i−2i00000000−2i2i00000000-220000
χ312-2222-2-2-222-2-2-2002-22000000−2i2i0−2i2i000000002i−2i00000000-220000
χ322-2222-2-2-222-2-2-2002-22000000−2i2i0−2i2i00000000−2i2i000000002-20000
χ332-2222-2-2-2-2-2222002-2-20000002i−2i0−2i2i0000002-2000000002i−2i000000
χ342-2222-2-2-2-2-2222002-2-20000002i−2i0−2i2i000000-2200000000−2i2i000000
χ352-2222-2-2-2-2-2222002-2-2000000−2i2i02i−2i0000002-200000000−2i2i000000
χ362-2222-2-2-2-2-2222002-2-2000000−2i2i02i−2i000000-22000000002i−2i000000
χ3744-44-4-4-44000004-4000000000000000000000000002i−2i2i−2i00000000
χ3844-44-4-4-44000004-400000000000000000000000000−2i2i−2i2i00000000
χ3944-44-4-4-4400000-44000000000000000000000000002i−2i−2i2i00000000
χ4044-44-4-4-4400000-4400000000000000000000000000−2i2i2i−2i00000000
χ4144-4-444-4-44-44-400000000000000000000000000000000000002i2−2i200
χ4244-4-444-4-44-44-40000000000000000000000000000000000000−2i22i200
χ4344-4-444-4-4-44-440000000000000000000000000000000000000002i2−2i2
χ4444-4-444-4-4-44-44000000000000000000000000000000000000000−2i22i2
χ454-4444-4-4-444-4-4400-44-400000000000000000000000000000000000
χ464-4444-4-4-4-4-444-400-44400000000000000000000000000000000000
χ474-4-4-44-4444-4-44000000004-40000000000000000000000000000000
χ484-4-4-44-4444-4-4400000000-440000000000000000000000000000000
χ494-4-4-44-444-444-40000004-4000000000000000000000000000000000
χ504-4-4-44-444-444-4000000-44000000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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