Finite Group Databasebeta

← Group #241852

Character table — Group #241852

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888222444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-11-1-1-1-1-1-11-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-11-1-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-11-1-1-111-1-1-11-1-1-1-11111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-11-11-1-1-111-11-1111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-11-1-1-1-11-1-111111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1111-1-111-1-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-1-111111-1-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-1-11-1111-1-11111-1-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11-1-111111-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111-1-1-1-1-111-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1111-11-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-1-11-1-111-11111-1-111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-2-2-200000000200-20-2000000200000000000
χ182222222222222222-2-2-2-2-2-2-2-200000000-200202000000-200000000000
χ19222222222222-2-2-2-22222-2-2-2-200000000200-202000000-200000000000
χ20222222222222-2-2-2-22222-2-2-2-200000000-20020-2000000200000000000
χ2122222222-2-2-2-222-2-222-2-222-2-20000000002002000-20000-20000000000
χ2222222222-2-2-2-222-2-222-2-222-2-2000000000-200-20002000020000000000
χ2322222222-2-2-2-222-2-2-2-222-2-222000000000020002-2000-2000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-2220000000000-2000-220002000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-22200000000002000-22000-2000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2220000000000-20002-20002000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-2000000000200-2000-2000020000000000
χ2822222222-2-2-2-2-2-222-2-22222-2-2000000000-200200020000-20000000000
χ29222-2-2-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2000000000000000002-20002i−2i00000000
χ30222-2-2-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000-22000−2i2i00000000
χ31222-2-2-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000
χ32222-2-2-22-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000
χ33222-2-2-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000
χ34222-2-2-22-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000
χ35222-2-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000002-2000−2i2i00000000
χ36222-2-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000-220002i−2i00000000
χ37222-2-2-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2-2222-2-22i2i−2i−2i000000000000000000000000
χ38222-2-2-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2-22-2-222−2i−2i2i2i000000000000000000000000
χ39222-2-2-22-2-22-222i−2i−2i2i−2i2i2i−2i-222-200000000000000000000000000002i−2i2-2
χ40222-2-2-22-2-22-222i−2i−2i2i−2i2i2i−2i-222-20000000000000000000000000000−2i2i-22
χ41222-2-2-22-2-22-22−2i2i2i−2i2i−2i−2i2i-222-200000000000000000000000000002i−2i-22
χ42222-2-2-22-2-22-22−2i2i2i−2i2i−2i−2i2i-222-20000000000000000000000000000−2i2i2-2
χ43222-2-2-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-2222-2-2−2i−2i2i2i000000000000000000000000
χ44222-2-2-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-22-2-2222i2i−2i−2i000000000000000000000000
χ454-4-44-4-4444-4-4400000000000022−2222−220000000000000000000000000000
χ464-4-44-4-4444-4-44000000000000−2222−22220000000000000000000000000000
χ474-4-44-4-444-444-4000000000000000022−2222−22000000000000000000000000
χ484-4-44-4-444-444-40000000000000000−2222−2222000000000000000000000000
χ494-4-4-4444-444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-4444-444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-4444-4-4-44400000000000022−22−22220000000000000000000000000000
χ524-4-4-4444-4-4-444000000000000−222222−220000000000000000000000000000
χ5388-888-8-8-8000000000000000000000000000000000000000000000000
χ5488-8-8-88-88000000000000000000000000000000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-88-88-8-88000000000000000000000000000000000000000000000000

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