Finite Group Databasebeta

← Group #166858

Character table — Group #166858

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444442444444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-111-1-1-1-11111
χ511111111111111111111111-1-111-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-1-1-11-111-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-11-111-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-1111111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1111-1-1-11-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111111-1111-1-1-1-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222-2002200-2-200000000002-20000000000000000
χ1822222222222222-2-2-2-2-2-222-200-2-200220000000000-220000000000000000
χ19222222222222-2-222-2-222-2-2-22200220000000000-2000000-2000000000000
χ20222222222222-2-222-2-222-2-2-2-2-200-2-2000000000020000002000000000000
χ21222222222222-2-2-2-222-2-2-2-220000000000000000020000-202-20000000000
χ22222222222222-2-2-2-222-2-2-2-2200000000000000000-2000020-220000000000
χ2322222222-2-2-2-2222222-2-2-2-2-20000000000000000020000-20-220000000000
χ2422222222-2-2-2-2222222-2-2-2-2-200000000000000000-20000202-20000000000
χ2522222222-2-2-2-222-2-2-2-222-2-222200-2-200000000002000000-2000000000000
χ2622222222-2-2-2-222-2-2-2-222-2-22-2-200220000000000-20000002000000000000
χ2722222222-2-2-2-2-2-222-2-2-2-2222002200220000000000-2-20000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-222200-2-200-2-20000000000220000000000000000
χ292-2-2222-2-22i2i−2i−2i002i−2i002-20002-2002i−2i0022−2−2i2i2−i2−i20000000000002−2i2−i20000
χ302-2-2222-2-22i2i−2i−2i002i−2i002-20002-2002i−2i00−2−222−i2−i2i2i2000000000000−22−i2i20000
χ312-2-2222-2-22i2i−2i−2i002i−2i002-2000-2200−2i2i0022−2−2i2i2−i2−i2000000000000−22−i2i20000
χ322-2-2222-2-22i2i−2i−2i002i−2i002-2000-2200−2i2i00−2−222−i2−i2i2i20000000000002−2i2−i20000
χ332-2-2222-2-2−2i−2i2i2i00−2i2i002-20002-200−2i2i0022−2−2−i2−i2i2i20000000000002−2−i2i20000
χ342-2-2222-2-2−2i−2i2i2i00−2i2i002-20002-200−2i2i00−2−222i2i2−i2−i2000000000000−22i2−i20000
χ352-2-2222-2-2−2i−2i2i2i00−2i2i002-2000-22002i−2i0022−2−2−i2−i2i2i2000000000000−22i2−i20000
χ362-2-2222-2-2−2i−2i2i2i00−2i2i002-2000-22002i−2i00−2−222i2i2−i2−i20000000000002−2−i2i20000
χ3744-44-4-44-4000000004-4000000000000000002i2−2i22i2−2i200000000000000000000
χ3844-44-4-44-4000000004-400000000000000000−2i22i2−2i22i200000000000000000000
χ3944-44-4-44-400000000-4400000000000002i2−2i22i2−2i2000000000000000000000000
χ4044-44-4-44-400000000-440000000000000−2i22i2−2i22i2000000000000000000000000
χ4144-4-44-4-444-44-400000000000000000000000000000002i−2i00002i−2i00000000
χ4244-4-44-4-444-44-40000000000000000000000000000000−2i2i0000−2i2i00000000
χ4344-4-44-4-44-44-4400000000000000000000000000000002i−2i0000−2i2i00000000
χ4444-4-44-4-44-44-440000000000000000000000000000000−2i2i00002i−2i00000000
χ454-444-4-4-4400004i−4i000000000000000002i−2i−2i2i2-2-2200000000000000000000
χ464-444-4-4-4400004i−4i00000000000000000−2i2i2i−2i-222-200000000000000000000
χ474-444-4-4-440000−4i4i000000000000000002i−2i−2i2i-222-200000000000000000000
χ484-444-4-4-440000−4i4i00000000000000000−2i2i2i−2i2-2-2200000000000000000000
χ494-44-44-44-44i−4i−4i4i00000000000000000000000000000000000000000002-22i−2i
χ504-44-44-44-44i−4i−4i4i0000000000000000000000000000000000000000000-22−2i2i
χ514-44-44-44-4−4i4i4i−4i00000000000000000000000000000000000000000002-2−2i2i
χ524-44-44-44-4−4i4i4i−4i0000000000000000000000000000000000000000000-222i−2i
χ534-4-4444-4-44i4i−4i−4i00−4i4i00-44000000000000000000000000000000000000000
χ544-4-4444-4-4−4i−4i4i4i004i−4i00-44000000000000000000000000000000000000000
χ554-4-4-4-44440000000000004-400000004-40000000000000000000000000000
χ564-4-4-4-44440000000000004-40000000-440000000000000000000000000000
χ574-4-4-4-4444000000000000-440004-400000000000000000000000000000000
χ584-4-4-4-4444000000000000-44000-4400000000000000000000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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