Finite Group Databasebeta

← Group #338655

Character table — Group #338655

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-1111-1111-111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-111-1-111-1-1-1-111-1111-11-1-1-1-111-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-1
χ511111111111111111111-1-11111111111111-1-11-1-1-1111-1-1-1-111-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-11-11
χ711111111111111111111-1-1-1-111-1-111-1-1-1-11-111-1-111-1-111-1-1-1-111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-11-1-1-1-1-11111-111
χ9111111111111111111-1-111111111111111-111-1-1-11-1-1-11111-1-1-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111-11
χ11111111111111111111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-11-11-1-1-111111-1-1-1-1-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111-11-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1111-11111-1-111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-11-1-1
χ17222222222-22-22-22-2-2-200222200-2-20000000-2-20002000000000000
χ18222222222-22-22-22-2-2-20022-2-200220000000-22000-2000000000000
χ19222222222-22-22-22-2-2-200-2-22200-2-2000000022000-2000000000000
χ20222222222-22-22-22-2-2-200-2-2-2-2002200000002-20002000000000000
χ2122222222-22-22-22-22-2-22200002200-2-20000-2002000-200000000000
χ2222222222-22-22-22-22-2-2220000-2-200220000-200-2000200000000000
χ2322222222-22-22-22-22-2-2-2-200002200-2-20000200-2000200000000000
χ2422222222-22-22-22-22-2-2-2-20000-2-2002200002002000-200000000000
χ252-2-22-22-2222-2-222-2-22-2000000000000000000002i−2i00002-2002i−2i000
χ262-2-22-22-2222-2-222-2-22-2000000000000000000002i−2i0000-2200−2i2i000
χ272-2-22-22-2222-2-222-2-22-200000000000000000000−2i2i00002-200−2i2i000
χ282-2-22-22-2222-2-222-2-22-200000000000000000000−2i2i0000-22002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-44-4-4040-40-4040000000000000000000000000022−22000000000
χ31444-4-44-4-4040-40-40400000000000000000000000000−2222000000000
χ32444-4-44-4-40-404040-4004-4000000000000000000000000000000000
χ33444-4-44-4-40-404040-400-44000000000000000000000000000000000
χ3444-444-4-4-440-40-4040000000000000002222−22−220000000000000000000
χ3544-444-4-4-440-40-404000000000000000−22−2222220000000000000000000
χ3644-444-4-4-4-404040-400000004-400000000000000000000000000000
χ3744-444-4-4-4-404040-40000000-4400000000000000000000000000000
χ384-444-4-44-44040-40-4000004-40000000000000000000000000000000
χ394-444-4-44-44040-40-400000-440000000000000000000000000000000
χ404-444-4-44-4-40-4040400000000000000000000000000000002i2−2i200000
χ414-444-4-44-4-40-404040000000000000000000000000000000−2i22i200000
χ424-44-44-4-4400000000000000002i2−2i22i2−2i2002-22-20000000000000000000
χ434-44-44-4-4400000000000000002i2−2i2−2i22i200-22-220000000000000000000
χ444-44-44-4-440000000000000000−2i22i22i2−2i200-22-220000000000000000000
χ454-44-44-4-440000000000000000−2i22i2−2i22i2002-22-20000000000000000000
χ464-4-44-44-444-4-444-4-44-4400000000000000000000000000000000000
χ474-4-44-44-44-444-4-444-4-4400000000000000000000000000000000000
χ484-4-44-44-44-4-444-4-4444-400000000000000000000000000000000000
χ494-4-4-4444-404040-40-40000000000004i−4i00000000000000000000000
χ504-4-4-4444-404040-40-4000000000000−4i4i00000000000000000000000
χ514-4-4-4444-40-40-404040000000000000022−22−22220000000000000000000
χ524-4-4-4444-40-40-4040400000000000000−222222−220000000000000000000
χ5388-8-8-8-888000000000000000000000000000000000000000000000

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