Finite Group Databasebeta

← Group #260566

Character table — Group #260566

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111111
χ91111111111111111-1-111-111-1-1-11111-11111-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-111-111-1-1-11111-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-11111-1-1-1-111
χ121111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-1-1-11111-1-1
χ131111111111111111-1-111-1-1-1-1111111-11111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1
χ141111111111111111-1-111-1-1-1-1111111-1-1-1-1-11111-1111-1-1-1-111-1-111-1-1-1-111
χ151111111111111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-2222-2-20000-200000000-20020000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-22220000-200000000200-20000000000000000
χ1922222222222-2-2-2-22-2-2-2-2222-2220000200000000-200-20000000000000000
χ2022222222222-2-2-2-22-2-2-2-22-2-2-2-2-2000020000000020020000000000000000
χ2122222222-2-2-22222-222-2-2-200-20022-2-220000000000002-200000000000000
χ2222222222-2-2-22222-222-2-2-200-200-2-2222000000000000-2200000000000000
χ2322222222-2-2-22222-2-2-2-2-220020022-2-2-2000000000000-2200000000000000
χ2422222222-2-2-22222-2-2-2-2-2200200-2-222-20000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-22222200-2000000-20000000002-20002-2000000000000
χ2622222222-2-2-2-2-2-2-2-22222200-2000000-2000000000-22000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-200200000020000000002-2000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-20020000002000000000-220002-2000000000000
χ292-22-2-222-222-22-22-2-200-220000002i−2i2i−2i00000000000000000002-2002i−2i0000
χ302-22-2-222-222-22-22-2-200-220000002i−2i2i−2i0000000000000000000-2200−2i2i0000
χ312-22-2-222-222-22-22-2-200-22000000−2i2i−2i2i00000000000000000002-200−2i2i0000
χ322-22-2-222-222-22-22-2-200-22000000−2i2i−2i2i0000000000000000000-22002i−2i0000
χ332-22-2-222-2-2-222-22-22002-20000002i−2i−2i2i000000000000000002i−2i002-2000000
χ342-22-2-222-2-2-222-22-22002-20000002i−2i−2i2i00000000000000000−2i2i00-22000000
χ352-22-2-222-2-2-222-22-22002-2000000−2i2i2i−2i000000000000000002i−2i00-22000000
χ362-22-2-222-2-2-222-22-22002-2000000−2i2i2i−2i00000000000000000−2i2i002-2000000
χ37444-4-4-4-444-440000-400000000000000000002222−22−2200000000000000000000
χ38444-4-4-4-444-440000-40000000000000000000−22−22222200000000000000000000
χ39444-4-4-4-44-44-4000040000000000000002i22i2−2i2−2i2000000000000000000000000
χ40444-4-4-4-44-44-400004000000000000000−2i2−2i22i22i2000000000000000000000000
χ4144-44-44-4-400044-4-400000000000000000000000000000000000000000022−22
χ4244-44-44-4-400044-4-4000000000000000000000000000000000000000000−2222
χ4344-44-44-4-4000-4-44400000000000000000000000000000000000000002i2−2i200
χ4444-44-44-4-4000-4-4440000000000000000000000000000000000000000−2i22i200
χ454-4444-4-4-44-4-400004000004i−4i000000000000000000000000000000000000
χ464-4444-4-4-44-4-40000400000−4i4i000000000000000000000000000000000000
χ474-4444-4-4-4-4440000-4000000004-4000000000000000000000000000000000
χ484-4444-4-4-4-4440000-400000000-44000000000000000000000000000000000
χ494-44-4-444-444-4-44-44-4004-4000000000000000000000000000000000000000
χ504-44-4-444-4-4-44-44-44400-44000000000000000000000000000000000000000
χ514-4-44-4-444000000004i−4i00000000000002-22-22i−2i2i−2i00000000000000000000
χ524-4-44-4-444000000004i−4i0000000000000-22-22−2i2i−2i2i00000000000000000000
χ534-4-44-4-44400000000−4i4i00000000000002-22-2−2i2i−2i2i00000000000000000000
χ544-4-44-4-44400000000−4i4i0000000000000-22-222i−2i2i−2i00000000000000000000
χ554-4-4-444-440004-4-44000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-4-4-444-440004-4-4400000000000000000000−2i22i22i2−2i200000000000000000000
χ574-4-4-444-44000-444-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-4-4-444-44000-444-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ5988-8-88-88-8000000000000000000000000000000000000000000000000000

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