Finite Group Databasebeta

← Group #166273

Character table — Group #166273

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444442222444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1111-11-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-11-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-111-111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-1-1-111-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11111-11-1-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11-1-11-11-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-2000000002222000000-2-200000000000000
χ1822222222222222-2-2-2-222-2-200000000-2-2-2-20000002200000000000000
χ19222222222222-2-222-2-2-2-22-20000222200000-2000-20000000000000000
χ20222222222222-2-222-2-2-2-22-20000-2-2-2-200000200020000000000000000
χ21222222222222-2-2-2-222-2-2-22222200000000-2000-200000000000000000
χ22222222222222-2-2-2-222-2-2-22-2-2-2-2000000002000200000000000000000
χ2322222222-2-2-2-22222-2-2-2-2-22000022-2-200000-200020000000000000000
χ2422222222-2-2-2-22222-2-2-2-2-220000-2-222000002000-20000000000000000
χ2522222222-2-2-2-222-2-222-2-22-222-2-200000000-2000200000000000000000
χ2622222222-2-2-2-222-2-222-2-22-2-2-222000000002000-200000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000000022-2-20000002-200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200000000-2-222000000-2200000000000000
χ29222-2-22-2-22i2i−2i−2i2i−2i00002-200000000002-22i−2i00000000002−2i2−i22−2i2−i20000
χ30222-2-22-2-22i2i−2i−2i2i−2i00002-200000000002-22i−2i0000000000−22−i2i2−22−i2i20000
χ31222-2-22-2-22i2i−2i−2i2i−2i00002-20000000000-22−2i2i00000000002−2i2−i2−22−i2i20000
χ32222-2-22-2-22i2i−2i−2i2i−2i00002-20000000000-22−2i2i0000000000−22−i2i22−2i2−i20000
χ33222-2-22-2-2−2i−2i2i2i−2i2i00002-200000000002-2−2i2i00000000002−2−i2i22−2−i2i20000
χ34222-2-22-2-2−2i−2i2i2i−2i2i00002-200000000002-2−2i2i0000000000−22i2−i2−22i2−i20000
χ35222-2-22-2-2−2i−2i2i2i−2i2i00002-20000000000-222i−2i00000000002−2−i2i2−22i2−i20000
χ36222-2-22-2-2−2i−2i2i2i−2i2i00002-20000000000-222i−2i0000000000−22i2−i22−2−i2i20000
χ37444-4-44-4-44i4i−4i−4i−4i4i0000-44000000000000000000000000000000000000
χ38444-4-44-4-4−4i−4i4i4i4i−4i0000-44000000000000000000000000000000000000
χ3944-44-4-44-4000000004-40000004i−4i000000000000000000000000000000
χ4044-44-4-44-4000000004-4000000−4i4i000000000000000000000000000000
χ4144-44-4-44-400000000-4400004i−4i00000000000000000000000000000000
χ4244-44-4-44-400000000-440000−4i4i00000000000000000000000000000000
χ434-44-44-44-40000004-40000000000004i−4i00000000000000000000000000
χ444-44-44-44-40000004-4000000000000−4i4i00000000000000000000000000
χ454-44-44-44-4000000-4400000000004i−4i0000000000000000000000000000
χ464-44-44-44-4000000-440000000000−4i4i0000000000000000000000000000
χ474-4-4444-4-44i−4i4i−4i0000000000000000000000002-200002i−2i000000000000
χ484-4-4444-4-44i−4i4i−4i000000000000000000000000-220000−2i2i000000000000
χ494-4-4444-4-4−4i4i−4i4i0000000000000000000000002-20000−2i2i000000000000
χ504-4-4444-4-4−4i4i−4i4i000000000000000000000000-2200002i−2i000000000000
χ514-4-4-4-44444-4-4400000000000000000000000000000000000000002-22-2
χ524-4-4-4-44444-4-440000000000000000000000000000000000000000-22-22
χ534-4-4-4-4444-444-400000000000000000000000000000000000000002-2-22
χ544-4-4-4-4444-444-40000000000000000000000000000000000000000-222-2
χ5588-8-88-8-88000000000000000000000000000000000000000000000000
χ568-888-8-8-88000000000000000000000000000000000000000000000000

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