Finite Group Databasebeta

← Group #339515

Character table — Group #339515

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1111-111-11-1-111-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-1-11
χ511111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-11-1-1-111-1-11111-1
χ9111111111111111111-1-111111111111111-1-111-1-11-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1111-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-11-1-1-1-1111-1-111-1-111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-111111-1-111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111-1-111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-11111-1-1-1-11
χ17222222222-222-2-2-22-2-2002222-2-20000000000-2200-2000000000000
χ18222222222-222-2-2-22-2-20022-2-2220000000000-2-2002000000000000
χ19222222222-222-2-2-22-2-200-2-222-2-200000000002-2002000000000000
χ20222222222-222-2-2-22-2-200-2-2-2-22200000000002200-2000000000000
χ2122222222-22-2-2222-2-2-22200000022-2-20000-2-200000200000000000
χ2222222222-22-2-2222-2-2-222000000-2-22200002-200000-200000000000
χ2322222222-22-2-2222-2-2-2-2-200000022-2-200002200000-200000000000
χ2422222222-22-2-2222-2-2-2-2-2000000-2-2220000-2200000200000000000
χ2522-22-2-22-22-2-2-22-222-22000000000000000000002i−2i002i−2i00002-2000
χ2622-22-2-22-22-2-2-22-222-22000000000000000000002i−2i00−2i2i0000-22000
χ2722-22-2-22-22-2-2-22-222-2200000000000000000000−2i2i002i−2i0000-22000
χ2822-22-2-22-22-2-2-22-222-2200000000000000000000−2i2i00−2i2i00002-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-44-4-4-4000000000000000022−220022−2222-2-20000000000000000000
χ31444-44-4-4-4000000000000000022−2200−2222-2-2220000000000000000000
χ32444-44-4-4-40000000000000000−22220022−22-2-2220000000000000000000
χ33444-44-4-4-40000000000000000−222200−222222-2-20000000000000000000
χ3444-44-4-44-444-4-4-44-444-400000000000000000000000000000000000
χ3544-44-4-44-4-4444-44-4-4-4400000000000000000000000000000000000
χ3644-44-4-44-4-4-4444-44-44-400000000000000000000000000000000000
χ374-444-4-4-44404-4000-40000004i−4i00000000000000000000000000000
χ384-444-4-4-44404-4000-4000000−4i4i00000000000000000000000000000
χ394-444-4-4-44-40-4400040000000000000022−2222−220000000000000000000
χ404-444-4-4-44-40-44000400000000000000−2222−22220000000000000000000
χ414-44-4-444-404004-4-400000000000000022−22−22220000000000000000000
χ424-44-4-444-404004-4-4000000000000000−222222−220000000000000000000
χ434-44-4-444-40-400-444000000000004i−4i0000000000000000000000000
χ444-44-4-444-40-400-44400000000000−4i4i0000000000000000000000000
χ454-4-4444-4-440-44000-4000000000000000000000000000022−220000000
χ464-4-4444-4-440-44000-40000000000000000000000000000−22220000000
χ474-4-4444-4-4-404-4000400004i−4i0000000000000000000000000000000
χ484-4-4444-4-4-404-400040000−4i4i0000000000000000000000000000000
χ494-4-4-44-4440400-4-44000000000000000000000000000000022−2200000
χ504-4-4-44-4440400-4-440000000000000000000000000000000−222200000
χ514-4-4-44-4440-40044-40004-4000000000000000000000000000000000
χ524-4-4-44-4440-40044-4000-44000000000000000000000000000000000
χ5388-8-8-88-88000000000000000000000000000000000000000000000

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