Finite Group Databasebeta

← Group #166228

Character table — Group #166228

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-111-1-111-1-111-1-1-111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-111-1-111-1-111-111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-11111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1-1-1-111111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-22-2002-2000022002200-2-2000000000000000000
χ182222222222222-2-2-2-2-22-2002-20000-2-200-2-20022000000000000000000
χ19222222222222-22-2-2-2-2-2200-220022002200-2-200000000000000000000
χ20222222222222-22-2-2-2-2-2200-2200-2-200-2-2002200000000000000000000
χ21222222222222-2-22222-2-222-2-222000000000000-200-200000000000000
χ22222222222222-2-22222-2-2-2-2-2-2-2-2000000000000200200000000000000
χ2322222222-2-2-2-22-222-2-22-200-2200002200-2-200-22000000000000000000
χ2422222222-2-2-2-22-222-2-22-200-220000-2-20022002-2000000000000000000
χ2522222222-2-2-2-2-2222-2-2-22002-2002200-2-200-2200000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22002-200-2-20022002-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000-200200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000200-200000000000000
χ29222-2-2-2-222i2i−2i−2i002i−2i2-2002-2002i−2i00000000000000000000002−2i2−i22−2i2−i2
χ30222-2-2-2-222i2i−2i−2i002i−2i2-2002-2002i−2i0000000000000000000000−22−i2i2−22−i2i2
χ31222-2-2-2-222i2i−2i−2i002i−2i2-200-2200−2i2i00000000000000000000002−2i2−i2−22−i2i2
χ32222-2-2-2-222i2i−2i−2i002i−2i2-200-2200−2i2i0000000000000000000000−22−i2i22−2i2−i2
χ33222-2-2-2-22−2i−2i2i2i00−2i2i2-2002-200−2i2i00000000000000000000002−2−i2i22−2−i2i2
χ34222-2-2-2-22−2i−2i2i2i00−2i2i2-2002-200−2i2i0000000000000000000000−22i2−i2−22i2−i2
χ35222-2-2-2-22−2i−2i2i2i00−2i2i2-200-22002i−2i00000000000000000000002−2−i2i2−22i2−i2
χ36222-2-2-2-22−2i−2i2i2i00−2i2i2-200-22002i−2i0000000000000000000000−22i2−i22−2−i2i2
χ37444-4-4-4-444i4i−4i−4i00−4i4i-4400000000000000000000000000000000000000
χ38444-4-4-4-44−4i−4i4i4i004i−4i-4400000000000000000000000000000000000000
χ3944-44-44-4-400000400000-40000004-40000000000000000000000000000
χ4044-44-44-4-400000400000-4000000-440000000000000000000000000000
χ4144-44-44-4-400000-400000400000000004i−4i000000000000000000000000
χ4244-44-44-4-400000-40000040000000000−4i4i000000000000000000000000
χ434-44-444-4-40000400000-40000000004-400000000000000000000000000
χ444-44-444-4-40000400000-4000000000-4400000000000000000000000000
χ454-44-444-4-40000-400000400000000000004i−4i0000000000000000000000
χ464-44-444-4-40000-40000040000000000000−4i4i0000000000000000000000
χ474-4-444-4-444i−4i4i−4i0000000000000000000000000002i−2i02-2000000000000
χ484-4-444-4-444i−4i4i−4i000000000000000000000000000−2i2i0-22000000000000
χ494-4-444-4-44−4i4i−4i4i0000000000000000000000000002i−2i0-22000000000000
χ504-4-444-4-44−4i4i−4i4i000000000000000000000000000−2i2i02-2000000000000
χ514-4-4-4-44444-4-44000000000000000000000000000000002-22-200000000
χ524-4-4-4-44444-4-4400000000000000000000000000000000-22-2200000000
χ534-4-4-4-4444-444-4000000000000000000000000000000002-2-2200000000
χ544-4-4-4-4444-444-400000000000000000000000000000000-222-200000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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