Finite Group Databasebeta

← Group #266554

Character table — Group #266554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444224444888888884444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111
χ511111111111111111111-1-1-1-11111111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111111-1-1-1-1
χ911111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1111-1-1-11-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-111-11-1-1-11-1-11-11-1-111-1-111
χ1111111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-11-1111-1-11-11-1-1-111-1-111
χ1211111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1111-11-1-11-1111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11-111-1111-1-1111-1-1-1-111
χ1411111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-11-111-1-1-11111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-1-11-11-111-111-1-1-1-111
χ172222222222222-2-2-2-2-22-200002-200000000000000022000-2-200000000
χ182222222222222-2-2-2-2-22-200002-2000000000000000-2-20002200000000
χ19222222222222-22-2-2-2-2-220000-22000000000002200000-2-20000000000
χ20222222222222-22-2-2-2-2-220000-2200000000000-2-200000220000000000
χ21222222222222-2-22222-2-222-2-2-2-200000000200000000-2000000000000
χ22222222222222-2-22222-2-2-2-222-2-200000000-2000000002000000000000
χ2322222222-2-2-2-22-222-2-22-20000-220000000000000002-2000-2200000000
χ2422222222-2-2-2-22-222-2-22-20000-22000000000000000-220002-200000000
χ2522222222-2-2-2-2-2222-2-2-2200002-2000000000002-200000-220000000000
χ2622222222-2-2-2-2-2222-2-2-2200002-200000000000-22000002-20000000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-22200000000-2000000002000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000200000000-2000000000000
χ29222-22-2-2-2000022002-2-2-22-22-20022-2-2000002-20000000000000000000
χ30222-22-2-2-2000022002-2-2-22-22-200-2-22200000-220000000000000000000
χ31222-22-2-2-2000022002-2-2-2-22-220022-2-200000-220000000000000000000
χ32222-22-2-2-2000022002-2-2-2-22-2200-2-222000002-20000000000000000000
χ33222-22-2-2-20000-2-2002-2222-2-220000002i2i−2i−2i000002i−2i000000000000000
χ34222-22-2-2-20000-2-2002-2222-2-22000000−2i−2i2i2i00000−2i2i000000000000000
χ35222-22-2-2-20000-2-2002-222-222-20000002i2i−2i−2i00000−2i2i000000000000000
χ36222-22-2-2-20000-2-2002-222-222-2000000−2i−2i2i2i000002i−2i000000000000000
χ37444-44-4-4-400004-400-44-44000000000000000000000000000000000000
χ38444-44-4-4-40000-4400-444-4000000000000000000000000000000000000
χ3944-44-44-4-444-4-40000000000000000000000000000000000002-22-20000
χ4044-44-44-4-444-4-4000000000000000000000000000000000000-22-220000
χ4144-44-44-4-4-4-4440000000000000000000000000000000000002-2-220000
χ4244-44-44-4-4-4-444000000000000000000000000000000000000-222-20000
χ434-444-4-4-444-44-4000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ444-444-4-4-444-44-400000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ454-444-4-4-44-44-44000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ464-444-4-4-44-44-4400000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ474-44-4-444-40000004i−4i00000000002i−2i−2i2i2-2-220000000000000000000000
χ484-44-4-444-40000004i−4i0000000000−2i2i2i−2i-222-20000000000000000000000
χ494-44-4-444-4000000−4i4i00000000002i−2i−2i2i-222-20000000000000000000000
χ504-44-4-444-4000000−4i4i0000000000−2i2i2i−2i2-2-220000000000000000000000
χ514-4-444-44-44-4-4400000000000000000000000000000000000000002i−2i2i−2i
χ524-4-444-44-44-4-440000000000000000000000000000000000000000−2i2i−2i2i
χ534-4-444-44-4-444-400000000000000000000000000000000000000002i−2i−2i2i
χ544-4-444-44-4-444-40000000000000000000000000000000000000000−2i2i2i−2i
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-8-8-888-88000000000000000000000000000000000000000000000000

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