Finite Group Databasebeta

← Group #241666

Character table — Group #241666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-11-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-111-1-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11-1-11-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1111-1111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111-1111-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-111-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11-1-11111111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-11-1-1-11-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1111-1-1-11-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-2-2-2000000000000000002-22000-200000000
χ1822222222222222-2-2-2-222-2-2-2-200000000000000000-22-2000200000000
χ19222222222222-2-222-2-2-2-222-2-2000000000000002-2200000-2000000000
χ20222222222222-2-222-2-2-2-222-2-200000000000000-22-2000002000000000
χ21222222222222-2-2-2-222-2-2-2-222000000002-22-200000000000000000000
χ22222222222222-2-2-2-222-2-2-2-22200000000-22-2200000000000000000000
χ2322222222-2-2-2-22222-2-2-2-2-2-222000000002-2-2200000000000000000000
χ2422222222-2-2-2-22222-2-2-2-2-2-22200000000-222-200000000000000000000
χ2522222222-2-2-2-222-2-222-2-222-2-2000000000000002-2-2000002000000000
χ2622222222-2-2-2-222-2-222-2-222-2-200000000000000-22200000-2000000000
χ2722222222-2-2-2-2-2-2222222-2-2-2-2000000000000000002-2-2000200000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-200000000000000000-222000-200000000
χ29222-2-2-2-222i2i−2i−2i2i−2i2i−2i2i−2i2-22-22-20000000000002i−2i0000002-20000000000
χ30222-2-2-2-222i2i−2i−2i2i−2i2i−2i2i−2i2-22-22-2000000000000−2i2i000000-220000000000
χ31222-2-2-2-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-22-220000000000000000000000002-22i−2i0000
χ32222-2-2-2-222i2i−2i−2i2i−2i−2i2i−2i2i2-2-22-22000000000000000000000000-22−2i2i0000
χ33222-2-2-2-222i2i−2i−2i−2i2i2i−2i−2i2i-222-2-2200000000000000000000000000002-22i−2i
χ34222-2-2-2-222i2i−2i−2i−2i2i2i−2i−2i2i-222-2-220000000000000000000000000000-22−2i2i
χ35222-2-2-2-222i2i−2i−2i−2i2i−2i2i2i−2i-22-222-222-2-22i2i−2i−2i000000000000000000000000
χ36222-2-2-2-222i2i−2i−2i−2i2i−2i2i2i−2i-22-222-2-2-222−2i−2i2i2i000000000000000000000000
χ37222-2-2-2-22−2i−2i2i2i2i−2i2i−2i−2i2i-22-222-222-2-2−2i−2i2i2i000000000000000000000000
χ38222-2-2-2-22−2i−2i2i2i2i−2i2i−2i−2i2i-22-222-2-2-2222i2i−2i−2i000000000000000000000000
χ39222-2-2-2-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-2-2200000000000000000000000000002-2−2i2i
χ40222-2-2-2-22−2i−2i2i2i2i−2i−2i2i2i−2i-222-2-220000000000000000000000000000-222i−2i
χ41222-2-2-2-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-22-220000000000000000000000002-2−2i2i0000
χ42222-2-2-2-22−2i−2i2i2i−2i2i2i−2i2i−2i2-2-22-22000000000000000000000000-222i−2i0000
χ43222-2-2-2-22−2i−2i2i2i−2i2i−2i2i−2i2i2-22-22-20000000000002i−2i000000-220000000000
χ44222-2-2-2-22−2i−2i2i2i−2i2i−2i2i−2i2i2-22-22-2000000000000−2i2i0000002-20000000000
χ454-4-444-4-444-44-40000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ464-4-444-4-444-44-4000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ474-4-444-4-44-44-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ484-4-444-4-44-44-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-4-4-4-44444i−4i−4i4i0000000000002i−2i−2i2i-222-2000000000000000000000000
χ504-4-4-4-44444i−4i−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ514-4-4-4-4444−4i4i4i−4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ524-4-4-4-4444−4i4i4i−4i000000000000−2i2i2i−2i-222-2000000000000000000000000
χ5388-88-88-8-8000000000000000000000000000000000000000000000000
χ5488-8-88-88-8000000000000000000000000000000000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-888-8-8000000000000000000000000000000000000000000000000

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