Finite Group Databasebeta

← Group #166113

Character table — Group #166113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1111111-111-1-1-1-1-111-1-1111-11-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-111-1-1-1-1-111-1-1-1-11-11-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-1-111-1-1-1-1-111111-1-11-11-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1111111-1-1-111-1-1-1-1-111-1-11-1-11-111111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-111-1-1-111-1-11111-111-1-11-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-111-1-11111-1-1-111-1-1-111-1-111-1-1-111-1-1111-1-11111-1-111-1-1
χ1511111111-1-1-1-111-1-11111-1-1-1-1-111-11111-1-111-11-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-11-111-11111-1-111-1-1-1-111
χ172222222222222-222-2-22-222-20000-222000000-2-2000000000000000000
χ182222222222222-222-2-22-2-2-2-20000-2-2-200000022000000000000000000
χ19222222222222-22-2-2-2-2-220020000-2002222000000-2-200000000000000
χ20222222222222-22-2-2-2-2-220020000-200-2-2-2-20000002200000000000000
χ21222222222222-2-2-2-222-2-200-2222220000000000-2-20000000000000000
χ22222222222222-2-2-2-222-2-200-2-2-2-2-220000000000220000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222200002-2-2000000-22000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2-2-2200002220000002-2000000000000000000
χ2522222222-2-2-2-2-2222-2-2-2200-2000020022-2-2000000-2200000000000000
χ2622222222-2-2-2-2-2222-2-2-2200-20000200-2-2220000002-200000000000000
χ2722222222-2-2-2-2-2-22222-2-200222-2-2-20000000000-220000000000000000
χ2822222222-2-2-2-2-2-22222-2-2002-2-222-200000000002-20000000000000000
χ29222-2-22-2-222-2-2-202-200202-20000002-200000000000000i2−i2i2−i20000i2−i2i2−i2
χ30222-2-22-2-222-2-2-202-200202-20000002-200000000000000−i2i2−i2i20000−i2i2−i2i2
χ31222-2-22-2-222-2-2-202-20020-22000000-2200000000000000i2−i2i2−i20000−i2i2−i2i2
χ32222-2-22-2-222-2-2-202-20020-22000000-2200000000000000−i2i2−i2i20000i2−i2i2−i2
χ33222-2-22-2-2-2-222-20-2200202-2000000-2200000000000000i2−i2−i2i20000i2−i2−i2i2
χ34222-2-22-2-2-2-222-20-2200202-2000000-2200000000000000−i2i2i2−i20000−i2i2i2−i2
χ35222-2-22-2-2-2-222-20-220020-220000002-200000000000000i2−i2−i2i20000−i2i2i2−i2
χ36222-2-22-2-2-2-222-20-220020-220000002-200000000000000−i2i2i2−i20000i2−i2−i2i2
χ37444-4-44-4-444-4-440-4400-40000000000000000000000000000000000000
χ38444-4-44-4-4-4-444404-400-40000000000000000000000000000000000000
χ3944-4-4-4-444000000004-400000004i−4i00000000000000000000000000000
χ4044-4-4-4-444000000004-40000000−4i4i00000000000000000000000000000
χ4144-4-4-4-44400000000-44000004i−4i0000000000000000000000000000000
χ4244-4-4-4-44400000000-4400000−4i4i0000000000000000000000000000000
χ434-444-4-44-44i−4i4i−4i00000000000000000000002-20000002i−2i000000000000
χ444-444-4-44-44i−4i4i−4i0000000000000000000000-22000000−2i2i000000000000
χ454-444-4-44-4−4i4i−4i4i00000000000000000000002-2000000−2i2i000000000000
χ464-444-4-44-4−4i4i−4i4i0000000000000000000000-220000002i−2i000000000000
χ474-44-44-4-444i−4i−4i4i0000000000000000000000000000000000002-22i−2i0000
χ484-44-44-4-444i−4i−4i4i000000000000000000000000000000000000-22−2i2i0000
χ494-44-44-4-44−4i4i4i−4i0000000000000000000000000000000000002-2−2i2i0000
χ504-44-44-4-44−4i4i4i−4i000000000000000000000000000000000000-222i−2i0000
χ514-4-44-44-4400000400000-400000000004i−4i000000000000000000000000
χ524-4-44-44-4400000400000-40000000000−4i4i000000000000000000000000
χ534-4-44-44-4400000-40000040000000000004-40000000000000000000000
χ544-4-44-44-4400000-4000004000000000000-440000000000000000000000
χ5588-888-8-8-8000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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