Finite Group Databasebeta

← Group #329921

Character table — Group #329921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444442244444444444444888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ91111111111111111-1-111-1-1-111-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-1-11
χ101111111111111111-1-111-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-111-1
χ111111111111111111-1-111-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111-11-1
χ121111111111111111-1-111-1-1-111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-11-11
χ131111111111111111-1-111-1-1-1-1-111-1-1-11111-1-111-1-11111-1-1-1-1-1-111-111-1
χ141111111111111111-1-111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-11111-1-1111-1-11
χ151111111111111111-1-111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-11
χ161111111111111111-1-111-1-1-1-1-111-1-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ172222222222-22-2-2-2222-2-222-20000-200002222-2-2-2-20000000000000000
χ182222222222-22-2-2-2222-2-222-20000-20000-2-2-2-222220000000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2200002000022-2-2-2-2220000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-22000020000-2-22222-2-20000000000000000
χ2122222222-2-22-2222-222-2-2-2-2-222222-2-2-2-2000000000000000000000000
χ2222222222-2-22-2222-222-2-2-2-2-2-2-2-2-222222000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2222-2-222-222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-220000-2000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-220000-200000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-200002000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-20000200000000000000000000−2i2i2i−2i0000
χ29222-22-2-2-22-20-200022-2002-200000000002i−2i2i−2i0000i2−i22−2i2−i22−200000000
χ30222-22-2-2-22-20-200022-2002-200000000002i−2i2i−2i0000−i2i2−22−i2i2−2200000000
χ31222-22-2-2-22-20-200022-2002-20000000000−2i2i−2i2i0000i2−i2−22i2−i2−2200000000
χ32222-22-2-2-22-20-200022-2002-20000000000−2i2i−2i2i0000−i2i22−2−i2i22−200000000
χ33222-22-2-2-22-20-20002-2200-2200000000002i−2i−2i2i0000i2−i22−2−i2i2−2200000000
χ34222-22-2-2-22-20-20002-2200-2200000000002i−2i−2i2i0000−i2i2−22i2−i22−200000000
χ35222-22-2-2-22-20-20002-2200-220000000000−2i2i2i−2i0000i2−i2−22−i2i22−200000000
χ36222-22-2-2-22-20-20002-2200-220000000000−2i2i2i−2i0000−i2i22−2i2−i2−2200000000
χ37444-44-4-4-4-4404000-44-400-440000000000000000000000000000000000
χ38444-44-4-4-4-4404000-4-44004-40000000000000000000000000000000000
χ3944-4-4-4-44400404-4-400000000004i−4i00000000000000000000000000000
χ4044-4-4-4-44400404-4-40000000000−4i4i00000000000000000000000000000
χ4144-4-4-4-44400-40-4440000000000000004-4000000000000000000000000
χ4244-4-4-4-44400-40-444000000000000000-44000000000000000000000000
χ434-444-4-44-4444-4-4-44-4004-4000000000000000000000000000000000000
χ444-444-4-44-444-4-444-4-400-44000000000000000000000000000000000000
χ454-444-4-44-4-4-444-4-44400-44000000000000000000000000000000000000
χ464-444-4-44-4-4-4-4444-44004-4000000000000000000000000000000000000
χ474-44-4-44-444-404000-400000000000000000000004i−4i0000000000000000
χ484-44-4-44-444-404000-40000000000000000000000−4i4i0000000000000000
χ494-44-4-44-44-440-40004000000000000000000004-4000000000000000000
χ504-44-4-44-44-440-4000400000000000000000000-44000000000000000000
χ514-4-4-4444-40040-44-400000000000004i−4i00000000000000000000000000
χ524-4-4-4444-40040-44-40000000000000−4i4i00000000000000000000000000
χ534-4-4-4444-400-404-44000000004-40000000000000000000000000000000
χ544-4-4-4444-400-404-4400000000-440000000000000000000000000000000
χ5588-88-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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