Finite Group Databasebeta

← Group #104458

Character table — Group #104458

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111122224444444444888888888888888881616161616161616323232323232
order12222222444444444444444888888888888888888888888244444
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111
χ511111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111
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
χ922222222222222-2-2-222-2-2-2-200000000000000000000000002-2000
χ1022222222222222-2-2-222-2-2-2-20000000000000000000000000-22000
χ11222222222222-2-22-2-2-2-2-2-222000000000000000022-2-20000000000
χ12222222222222-2-22-2-2-2-2-2-2220000000000000000-2-2220000000000
χ13222222222222-2-2-222-2-222-2-2000000000000000000000000200-200
χ14222222222222-2-2-222-2-222-2-2000000000000000000000000-200200
χ1522222222-2-2-2-2222-2-2-2-2222-2000000002222-2-2-2-200000000000000
χ1622222222-2-2-2-2222-2-2-2-2222-200000000-2-2-2-2222200000000000000
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
χ1922222222-2-2-2-2-2-222222-2-22-22222-2-2-2-20000000000000000000000
χ2022222222-2-2-2-2-2-222222-2-22-2-2-2-2-222220000000000000000000000
χ2122222222-2-2-2-2-2-2-2-2-22222-2200000000000000000000000000002-2
χ2222222222-2-2-2-2-2-2-2-2-22222-220000000000000000000000000000-22
χ23222-2-2-2-2200000022-22-200-2000002i2i−2i−2i22−2−222−2−2i2−i2i2−i20000000000
χ24222-2-2-2-2200000022-22-200-2000002i2i−2i−2i−2−222−2−222−i2i2−i2i20000000000
χ25222-2-2-2-2200000022-22-200-200000−2i−2i2i2i22−2−222−2−2−i2i2−i2i20000000000
χ26222-2-2-2-2200000022-22-200-200000−2i−2i2i2i−2−222−2−222i2−i2i2−i20000000000
χ27222-2-2-2-220000002-22-2200-202i2i−2i−2i000022−2−2−2−222i2−i2−i2i20000000000
χ28222-2-2-2-220000002-22-2200-202i2i−2i−2i0000−2−22222−2−2−i2i2i2−i20000000000
χ29222-2-2-2-220000002-22-2200-20−2i−2i2i2i000022−2−2−2−222−i2i2i2−i20000000000
χ30222-2-2-2-220000002-22-2200-20−2i−2i2i2i0000−2−22222−2−2i2−i2−i2i20000000000
χ31444-4-4-4-44000000-44-4-440040000000000000000000000000000000
χ32444-4-4-4-44000000-4-444-40040000000000000000000000000000000
χ3344-444-4-4-44-44-4000000000002-22-22-22-20000000000000000000000
χ3444-444-4-4-44-44-400000000000-22-22-22-220000000000000000000000
χ3544-444-4-4-4-44-44000000000002-22-2-22-220000000000000000000000
χ3644-444-4-4-4-44-4400000000000-22-222-22-20000000000000000000000
χ3744-4-4-444-4000000000004-4002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ3844-4-4-444-4000000000004-400−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ3944-4-4-444-400000000000-44002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ4044-4-4-444-400000000000-4400−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ414-444-44-4-444-4-400000000000000000000000000000002-22-2000000
χ424-444-44-4-444-4-40000000000000000000000000000000-22-22000000
χ434-444-44-4-4-4-44400000000000000000000000000000002i−2i−2i2i000000
χ444-444-44-4-4-4-4440000000000000000000000000000000−2i2i2i−2i000000
χ454-4-44-4-4444-4-4400000000000000000002-22-22-22-200000000000000
χ464-4-44-4-4444-4-440000000000000000000-22-22-22-2200000000000000
χ474-4-44-4-444-444-400000000000000000002-22-2-22-2200000000000000
χ484-4-44-4-444-444-40000000000000000000-22-222-22-200000000000000
χ494-4-4-444-4400004-400000000000000000000022−22−222200000000000000
χ504-4-4-444-4400004-4000000000000000000000−222222−2200000000000000
χ514-4-4-444-440000-440000000000000000022−22−2222000000000000000000
χ524-4-4-444-440000-4400000000000000000−222222−22000000000000000000
χ538-88-88-88-8000000000000000000000000000000000000000000000

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