Finite Group Databasebeta

← Group #258739

Character table — Group #258739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444222244444448888888822244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-1-1-1111-1-1-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111111111111-1-1111-1-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-111
χ1111111111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-111-1-11111-1-1-1-111
χ1211111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1
χ1311111111111111111-1-11-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1
χ1411111111111111111-1-11-1-111-1-1-11111-1-1-1-11111-111-1-11-1-1-1-11111-1-1-1-111
χ1511111111111111111-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-1-1-111-1-111
χ1611111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11-111111-1-111-1-111-1-1
χ172222222222-2-222-2-2-222-222-2-22-2-20000000000000000-2200000000000000
χ182222222222-2-222-2-2-222-2-2-2222-2-200000000000000002-200000000000000
χ192222222222-2-222-2-2-2-2-2-22222-2220000000000000000-2-200000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-2-22200000000000000002200000000000000
χ2122222222-2-222-2-222-222-20000-22-222-2-200000000200-20000000000000000
χ2222222222-2-222-2-222-222-20000-22-2-2-22200000000-20020000000000000000
χ2322222222-2-222-2-222-2-2-2-200002-2222-2-200000000-20020000000000000000
χ2422222222-2-222-2-222-2-2-2-200002-22-2-22200000000200-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-22000000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-222220000-2-2200000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-22000022-2000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-22000022-200000000000000000000-222-200000000
χ2922-222-2-2-2222-2-2-22-2-200200000002i−2i2i−2i000000000000002i−2i0000002-20000
χ3022-222-2-2-2222-2-2-22-2-200200000002i−2i2i−2i00000000000000−2i2i000000-220000
χ3122-222-2-2-2222-2-2-22-2-20020000000−2i2i−2i2i000000000000002i−2i000000-220000
χ3222-222-2-2-2222-2-2-22-2-20020000000−2i2i−2i2i00000000000000−2i2i0000002-20000
χ3322-222-2-2-2-2-22-2222-2200-200000002i−2i−2i2i0000000002-20000000002i−2i000000
χ3422-222-2-2-2-2-22-2222-2200-200000002i−2i−2i2i000000000-22000000000−2i2i000000
χ3522-222-2-2-2-2-22-2222-2200-20000000−2i2i2i−2i0000000002-2000000000−2i2i000000
χ3622-222-2-2-2-2-22-2222-2200-20000000−2i2i2i−2i000000000-220000000002i−2i000000
χ37444-4-4-44-40000000004i−4i00000000000022-2-22i2i−2i−2i00000000000000000000
χ38444-4-4-44-40000000004i−4i000000000000-2-222−2i−2i2i2i00000000000000000000
χ39444-4-4-44-4000000000−4i4i00000000000022-2-2−2i−2i2i2i00000000000000000000
χ40444-4-4-44-4000000000−4i4i000000000000-2-2222i2i−2i−2i00000000000000000000
χ4144-444-4-4-444-44-4-4-44400-4000000000000000000000000000000000000000
χ4244-444-4-4-4-4-4-4444-44-4004000000000000000000000000000000000000000
χ434-444-44-4-44-4004-40000000000000000000002i2−2i22i2−2i200000000000000000000
χ444-444-44-4-44-4004-4000000000000000000000−2i22i2−2i22i200000000000000000000
χ454-444-44-4-4-4400-44000000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-44-4-4-4400-4400000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-44-4-44004400-4-40000000000000002i2−2i2−2i22i2000000000000000000000000
χ484-44-44-4-44004400-4-4000000000000000−2i22i22i2−2i2000000000000000000000000
χ494-44-44-4-4400-4-40044000000000000000000022−22−222200000000000000000000
χ504-44-44-4-4400-4-400440000000000000000000−222222−2200000000000000000000
χ514-4-44-4-4444-400-440000004-40000000000000000000000000000000000000
χ524-4-44-4-4444-400-44000000-440000000000000000000000000000000000000
χ534-4-44-4-444-44004-4000000004-400000000000000000000000000000000000
χ544-4-44-4-444-44004-400000000-4400000000000000000000000000000000000
χ554-4-4-4444-4004-400-4400000000000000000000000000000000000000022−2200
χ564-4-4-4444-4004-400-44000000000000000000000000000000000000000−222200
χ574-4-4-4444-400-44004-40000000000000000000000000000000000000000022−22
χ584-4-4-4444-400-44004-400000000000000000000000000000000000000000−2222
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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