Finite Group Databasebeta

← Group #246292

Character table — Group #246292

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111111-11-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-111-1-111-111-1-1-111-11-111-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-1-111-111-1-1-111-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-1-111-111-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-1-111-111-11-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-11111-1111-11-1-1-1-1111-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-1-1-11111-1111-11-1-1-1-11-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-111-1-1-1-1-111-11-111-111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-111-1-1-1-1-111-11-111-1-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2222200200-2000-20000000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200200200020000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-200-2002000-20000000000000000000
χ20222222222222-2-2-2-2-2-222-2-22200-200-200020000000000000000000
χ2122222222-2-2-2-2222-2-222-2000022-2-2-20-20002000000000000000000
χ2222222222-2-2-2-2222-2-222-20000-2-2-22202000-2000000000000000000
χ2322222222-2-2-2-22-2-2-2-22-220000222-2-202000-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-220000-2-22220-20002000000000000000000
χ2522222222-2-2-2-2-22222-2-22000000-200002-2002-20000000000000000
χ2622222222-2-2-2-2-22222-2-22000000-20000-2200-220000000000000000
χ2722222222-2-2-2-2-2-2-222-22-2000000200002200-2-20000000000000000
χ2822222222-2-2-2-2-2-2-222-22-200000020000-2-200220000000000000000
χ292-2-2-22-2222-22-2-2002-220000002-202-200000000002-200000000002-2
χ302-2-2-22-2222-22-2-2002-220000002-202-20000000000-220000000000-22
χ312-2-2-22-2222-22-2-2002-22000000-220-2200000000002-20000000000-22
χ322-2-2-22-2222-22-2-2002-22000000-220-220000000000-2200000000002-2
χ332-2-2-22-222-22-22-200-2220000002-20-22000000002-200000000002-200
χ342-2-2-22-222-22-22-200-2220000002-20-2200000000-220000000000-2200
χ352-2-2-22-222-22-22-200-222000000-2202-2000000002-20000000000-2200
χ362-2-2-22-222-22-22-200-222000000-2202-200000000-2200000000002-200
χ37444-44-4-4-444-4-4000000004-40000000000000000000000000000000
χ38444-44-4-4-444-4-400000000-440000000000000000000000000000000
χ39444-44-4-4-4-4-44400000000004i−4i00000000000000000000000000000
χ40444-44-4-4-4-4-4440000000000−4i4i00000000000000000000000000000
χ4144-44-4-44-4000004i−4i000000000000000000000000002i−2i2-200000000
χ4244-44-4-44-4000004i−4i00000000000000000000000000−2i2i-2200000000
χ4344-44-4-44-400000−4i4i000000000000000000000000002i−2i-2200000000
χ4444-44-4-44-400000−4i4i00000000000000000000000000−2i2i2-200000000
χ454-4-4444-4-44-4-44000000000000000000000000000000000002i2−2i20000
χ464-4-4444-4-44-4-4400000000000000000000000000000000000−2i22i20000
χ474-4-4444-4-4-444-40000000000000000000000000000000002i2−2i2000000
χ484-4-4444-4-4-444-4000000000000000000000000000000000−2i22i2000000
χ494-4-4-44-4444-44-4400-44-400000000000000000000000000000000000
χ504-4-4-44-444-44-444004-4-400000000000000000000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-88-8-888-8000000000000000000000000000000000000000000000

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