Finite Group Databasebeta

← Group #266341

Character table — Group #266341

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-11111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111
χ7111111111111111111111-1-11-1-1-1-11-1-111111111-1-1-11111-11111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111
χ911111111111111111-1-11-111-11111-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ1011111111111111111-1-11-111-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111
χ1111111111111111111-1-11-111-111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ1211111111111111111-1-11-111-111-1-1-111-1-1-1-11111-1-111111-1-1-1-1-111-1-1-1-111
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-111-111-1-11-1-11111-1-1-1-111
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111111-111111-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-111-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1111111-1-111-1-1
χ1722222222222-2-2-2-22-222-2-20020022-2-2-2000000000020000-2000000000000
χ1822222222222-2-2-2-22-222-2-200200-2-2-2220000000000-200002000000000000
χ1922222222222-2-2-2-22-2-2-2-2200-200222220000000000-20000-2000000000000
χ2022222222222-2-2-2-22-2-2-2-2200-200-2-22-2-20000000000200002000000000000
χ2122222222-2-2-22222-2-222-2-222-2-2-200200000000002-2000000000000000000
χ2222222222-2-2-22222-2-222-2-2-2-2-2220020000000000-22000000000000000000
χ2322222222-2-2-22222-2-2-2-2-22222-2-200-20000000000-22000000000000000000
χ2422222222-2-2-22222-2-2-2-2-22-2-222200-200000000002-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222200-20000-200000000000002-20002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222200-20000-20000000000000-22000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22-20020000200000000000002-2000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2002000020000000000000-220002-20000000000
χ2922-222-2-2-222-22-22-2-2200-202-202-20000000000000000002-2000002-2000000
χ3022-222-2-2-222-22-22-2-2200-202-202-2000000000000000000-2200000-22000000
χ3122-222-2-2-222-22-22-2-2200-20-220-220000000000000000002-200000-22000000
χ3222-222-2-2-222-22-22-2-2200-20-220-22000000000000000000-22000002-2000000
χ3322-222-2-2-2-2-222-22-22-200202-20-22000000000000000000000002i−2i002i−2i0000
χ3422-222-2-2-2-2-222-22-22-200202-20-2200000000000000000000000−2i2i00−2i2i0000
χ3522-222-2-2-2-2-222-22-22-20020-2202-2000000000000000000000002i−2i00−2i2i0000
χ3622-222-2-2-2-2-222-22-22-20020-2202-200000000000000000000000−2i2i002i−2i0000
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
χ4144-444-4-4-444-4-44-44-4-4004000000000000000000000000000000000000000
χ4244-444-4-4-4-4-44-44-444400-4000000000000000000000000000000000000000
χ4344-4-4-444-44-4-40000400000000000004i−4i0000000000000000000000000000
χ4444-4-4-444-44-4-4000040000000000000−4i4i0000000000000000000000000000
χ4544-4-4-444-4-4440000-400000000004-40000000000000000000000000000000
χ4644-4-4-444-4-4440000-40000000000-440000000000000000000000000000000
χ474-444-44-4-40000000004-40000000000002-22-22-22-200000000000000000000
χ484-444-44-4-40000000004-4000000000000-22-22-22-2200000000000000000000
χ494-444-44-4-4000000000-440000000000002-22-2-22-2200000000000000000000
χ504-444-44-4-4000000000-44000000000000-22-222-22-200000000000000000000
χ514-44-44-44-400044-4-40000000000000000000022−22−222200000000000000000000
χ524-44-44-44-400044-4-400000000000000000000−222222−2200000000000000000000
χ534-44-44-44-4000-4-44400000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-44-44-44-4000-4-4440000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-4-444-440004-4-4400000000000000000000000000000000000000000022−22
χ564-4-4-444-440004-4-44000000000000000000000000000000000000000000−2222
χ574-4-4-444-44000-444-4000000000000000000000000000000000000000022−2200
χ584-4-4-444-44000-444-40000000000000000000000000000000000000000−222200
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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