Finite Group Databasebeta

← Group #337446

Character table — Group #337446

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1
χ511111111111111111111-1-1111111111111-11-1-1-11-111111-1-1-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-111-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11-11-1-1-11111-1-11-11
χ9111111111111111111-1-1111111111111111-1-1-11-11-1-1-1-1-11111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-111-1
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1111111-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1111-1-1-1-1111-11
χ13111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-11-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11-11111-1-1111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-11-1
χ172222222222-22-2-2-22-2-22200000022-2-200000-2000-20200000000000
χ182222222222-22-2-2-22-2-222000000-2-22200000-200020-200000000000
χ192222222222-22-2-2-22-2-2-2-200000022-2-200000200020-200000000000
χ202222222222-22-2-2-22-2-2-2-2000000-2-222000002000-20200000000000
χ2122222222-2-22-2222-2-2-2002222-2-200000000-200020-2000000000000
χ2222222222-2-22-2222-2-2-20022-2-22200000000-2000-202000000000000
χ2322222222-2-22-2222-2-2-200-2-222-2-2000000002000-202000000000000
χ2422222222-2-22-2222-2-2-200-2-2-2-22200000000200020-2000000000000
χ252-22-22-22-2-2-2-2222-222-20000000000000000002i−2i0000002i−2i002-2000
χ262-22-22-22-2-2-2-2222-222-20000000000000000002i−2i000000−2i2i00-22000
χ272-22-22-22-2-2-2-2222-222-2000000000000000000−2i2i0000002i−2i00-22000
χ282-22-22-22-2-2-2-2222-222-2000000000000000000−2i2i000000−2i2i002-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-4-444-404000-40000000000000000000000000022−22000000000
χ31444-4-4-4-444-404000-400000000000000000000000000−2222000000000
χ32444-4-4-4-44-440-40004004i−4i000000000000000000000000000000000
χ33444-4-4-4-44-440-4000400−4i4i000000000000000000000000000000000
χ3444-44-4-44-400404-4-40000000000000002222−22−220000000000000000000
χ3544-44-4-44-400404-4-4000000000000000−22−2222220000000000000000000
χ3644-44-4-44-400-40-4440000000004i−4i000000000000000000000000000
χ3744-44-4-44-400-40-444000000000−4i4i000000000000000000000000000
χ384-444-44-4-44-40-40004000000000000002i2−2i22i2−2i20000000000000000000
χ394-444-44-4-44-40-4000400000000000000−2i22i2−2i22i20000000000000000000
χ404-444-44-4-4-4404000-400000000004-40000000000000000000000000
χ414-444-44-4-4-4404000-40000000000-440000000000000000000000000
χ424-44-44-44-4444-4-4-44-44-400000000000000000000000000000000000
χ434-44-44-44-444-4-444-4-4-4400000000000000000000000000000000000
χ444-44-44-44-4-4-444-4-444-4400000000000000000000000000000000000
χ454-4-444-4-440000000000000022−2200002i2−2i22i−2i−2i2i0000000000000000000
χ464-4-444-4-440000000000000022−220000−2i22i2−2i2i2i−2i0000000000000000000
χ474-4-444-4-4400000000000000−222200002i2−2i2−2i2i2i−2i0000000000000000000
χ484-4-444-4-4400000000000000−22220000−2i22i22i−2i−2i2i0000000000000000000
χ494-4-4-4-44440040-44-400000000000000000000000000000002i2−2i200000
χ504-4-4-4-44440040-44-40000000000000000000000000000000−2i22i200000
χ514-4-4-4-444400-404-44000004-40000000000000000000000000000000
χ524-4-4-4-444400-404-4400000-440000000000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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