Finite Group Databasebeta

← Group #291916

Character table — Group #291916

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111-11-11-1-1-111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-111111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-111111111-1-1-1-1
χ91111111111111-1-1111-1-111-1-11111-1-1-1-1-1-111111-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-111-111-1-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-111-111-1-1-1-1111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-1111111-11-11-11-1-111-1-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-1-1-1111111-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-111-1-1-1-1-1-1111-11111-1-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-111-1-1-1-1-1-1111-111-1-1-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-222220000200-2000000-200000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200002002000000200000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000-2002000000-200000000000000
χ20222222222222-2-2-2-2-2-222-2-2220000-200-2000000200000000000000
χ2122222222-2-2-2-2222-2-222-200000000-22000-2-2200000000000000000
χ2222222222-2-2-2-2222-2-222-200000000-2-200022-200000000000000000
χ2322222222-2-2-2-22-2-2-2-22-220000000022000-22-200000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22000000002-20002-2200000000000000000
χ2522222222-2-2-2-2-22222-2-22000022-2-2-2020-200000000000000000000
χ2622222222-2-2-2-2-22222-2-220000-2-222-20-20200000000000000000000
χ2722222222-2-2-2-2-2-2-222-22-2000022-2-220-20200000000000000000000
χ2822222222-2-2-2-2-2-2-222-22-20000-2-2222020-200000000000000000000
χ2922-22-2-2-2222-2-2-2002-220000002i−2i2i−2i00000000000002i−2i0000002-200
χ3022-22-2-2-2222-2-2-2002-220000002i−2i2i−2i0000000000000−2i2i000000-2200
χ3122-22-2-2-2222-2-2-2002-22000000−2i2i−2i2i00000000000002i−2i000000-2200
χ3222-22-2-2-2222-2-2-2002-22000000−2i2i−2i2i0000000000000−2i2i0000002-200
χ3322-22-2-2-22-2-2222002-2-20000002i−2i−2i2i0000000000000002-20000002i−2i
χ3422-22-2-2-22-2-2222002-2-20000002i−2i−2i2i000000000000000-22000000−2i2i
χ3522-22-2-2-22-2-2222002-2-2000000−2i2i2i−2i0000000000000002-2000000−2i2i
χ3622-22-2-2-22-2-2222002-2-2000000−2i2i2i−2i000000000000000-220000002i−2i
χ3744-44-4-4-4444-4-4400-44-400000000000000000000000000000000000
χ3844-44-4-4-44-4-444-400-44400000000000000000000000000000000000
χ394-4444-4-4-44-44-4000000004-40000000000000000000000000000000
χ404-4444-4-4-44-44-400000000-440000000000000000000000000000000
χ414-4444-4-4-4-44-4400000000004i−4i00000000000000000000000000000
χ424-4444-4-4-4-44-440000000000−4i4i00000000000000000000000000000
χ434-4-44-444-44-4-4400000000000000000000000000000000022−22000000
χ444-4-44-444-44-4-44000000000000000000000000000000000−2222000000
χ454-4-44-444-4-444-4000000000000000000000000000000000002i2−2i20000
χ464-4-44-444-4-444-400000000000000000000000000000000000−2i22i20000
χ474-4-4-44-444000004-40000000000000000000002-202-2000000000000
χ484-4-4-44-444000004-4000000000000000000000-220-22000000000000
χ494-4-4-44-44400000-440000000000000000000002-20-22000000000000
χ504-4-4-44-44400000-44000000000000000000000-2202-2000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-888-8-8000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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