Finite Group Databasebeta

← Group #104452

Character table — Group #104452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111122224444444444888888888888888881616161616161616323232323232
order12222222444444444444444888888888888888888888888244444
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ511111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ922222222222222-2-2-2-2-222-2-2000000000000000000000000020-200
χ1022222222222222-2-2-2-2-222-2-20000000000000000000000000-20200
χ11222222222222-2-22-2-2-2-2-2-222000000000000000022-2-20000000000
χ12222222222222-2-22-2-2-2-2-2-2220000000000000000-2-2220000000000
χ13222222222222-2-2-22222-2-2-2-200000000000000000000000020-2000
χ14222222222222-2-2-22222-2-2-2-2000000000000000000000000-202000
χ1522222222-2-2-2-2222-2-222-2-22-2000000002222-2-2-2-200000000000000
χ1622222222-2-2-2-2222-2-222-2-22-200000000-2-2-2-2222200000000000000
χ1722222222-2-2-2-222-222-2-2-2-2-22000000000000000000002i2i−2i−2i000000
χ1822222222-2-2-2-222-222-2-2-2-2-2200000000000000000000−2i−2i2i2i000000
χ1922222222-2-2-2-2-2-2222-2-2222-22222-2-2-2-20000000000000000000000
χ2022222222-2-2-2-2-2-2222-2-2222-2-2-2-2-222220000000000000000000000
χ2122222222-2-2-2-2-2-2-2-2-22222-2200000000000000000000000000002-2
χ2222222222-2-2-2-2-2-2-2-2-22222-220000000000000000000000000000-22
χ232-2-2-2-2222000000-22-2002-220000022-2-222−2−222−2−22−22−20000000000
χ242-2-2-2-2222000000-22-2002-220000022-2-2−2−222−2−222−22−220000000000
χ252-2-2-2-2222000000-22-2002-2200000-2-22222−2−222−2−2−22−220000000000
χ262-2-2-2-2222000000-22-2002-2200000-2-222−2−222−2−2222−22−20000000000
χ272-2-2-2-2222000000-2-2200-222022-2-2000022−2−2−2−2222−2−220000000000
χ282-2-2-2-2222000000-2-2200-222022-2-20000−2−22222−2−2−222−20000000000
χ292-2-2-2-2222000000-2-2200-2220-2-222000022−2−2−2−222−222−20000000000
χ302-2-2-2-2222000000-2-2200-2220-2-2220000−2−22222−2−22−2−220000000000
χ31444-4-44-4-444-4-400000000000000000000000000000002-22-2000000
χ32444-4-44-4-444-4-40000000000000000000000000000000-22-22000000
χ33444-4-44-4-4-4-44400000000000000000000000000000002i−2i−2i2i000000
χ34444-4-44-4-4-4-4440000000000000000000000000000000−2i2i2i−2i000000
χ3544-44-4-44-40000000004-400002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ3644-44-4-44-40000000004-40000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ3744-44-4-44-4000000000-4400002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ3844-44-4-44-4000000000-440000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ3944-4-44-4-4400004-40000000000000000000002i2−2i22i2−2i200000000000000
χ4044-4-44-4-4400004-4000000000000000000000−2i22i2−2i22i200000000000000
χ4144-4-44-4-440000-44000000000000000002i2−2i22i2−2i2000000000000000000
χ4244-4-44-4-440000-4400000000000000000−2i22i2−2i22i2000000000000000000
χ434-444-4-4-444-44-400000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ444-444-4-4-444-44-40000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ454-444-4-4-44-44-4400000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ464-444-4-4-44-44-440000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ474-44-44-44-44-4-44000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ484-44-44-44-44-4-4400000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ494-44-44-44-4-444-4000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ504-44-44-44-4-444-400000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ514-4-4-4-444400000044-400-44-40000000000000000000000000000000
χ524-4-4-4-44440000004-44004-4-40000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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