Finite Group Databasebeta

← Group #170262

Character table — Group #170262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444448888888888888888888888881616161616161616161616163232
order12222222444444444444444422224444888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-111-1-11111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111111-1-1
χ911111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-11-111-1-11-1
χ1011111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-11-1-1-111-11
χ1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-1-11
χ1211111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-11-1-11-11-1-1111-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1111-1-111-11
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-111111-1-11-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-111-1-1-111-1-1-11
χ1722222222222222-2-2-2-22-2-2-22-20000000000000000000000000200-220-2000000
χ1822222222222222-2-2-2-22-2-2-22-20000000000000000000000000-2002-202000000
χ19222222222222-2-222-2-2-22-2-2-2222002200000000000000000000-2-20000000000
χ20222222222222-2-222-2-2-22-2-2-22-2-200-2-200000000000000000000220000000000
χ21222222222222-2-2-2-222-2-222-2-2002200220000000000000000-200000-20000000
χ22222222222222-2-2-2-222-2-222-2-200-2-200-2-2000000000000000020000020000000
χ2322222222-2-2-2-22222-2-2-2-222-2-2002200-2-20000000000000000200000-20000000
χ2422222222-2-2-2-22222-2-2-2-222-2-200-2-200220000000000000000-20000020000000
χ2522222222-2-2-2-222-2-222-22-2-2-222200-2-200000000000000000000-220000000000
χ2622222222-2-2-2-222-2-222-22-2-2-22-2-20022000000000000000000002-20000000000
χ2722222222-2-2-2-2-2-222222-2-2-22-20000000000000000000000000200-2-202000000
χ2822222222-2-2-2-2-2-222222-2-2-22-20000000000000000000000000-200220-2000000
χ29222-22-2-2-22i2i−2i−2i00002i−2i002-200002-2002i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000
χ30222-22-2-2-22i2i−2i−2i00002i−2i002-200002-2002i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000
χ31222-22-2-2-22i2i−2i−2i00002i−2i002-20000-2200−2i2ii2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000000000
χ32222-22-2-2-22i2i−2i−2i00002i−2i002-20000-2200−2i2i−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000000000
χ33222-22-2-2-2−2i−2i2i2i0000−2i2i002-200002-200−2i2ii2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000000000
χ34222-22-2-2-2−2i−2i2i2i0000−2i2i002-200002-200−2i2i−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000000000
χ35222-22-2-2-2−2i−2i2i2i0000−2i2i002-20000-22002i−2ii2i2−i2−i2−2−222−i2−i2i2i222−2−200000000000000
χ36222-22-2-2-2−2i−2i2i2i0000−2i2i002-20000-22002i−2i−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000000000
χ3722-2-2-22-222-22-2002-20002000-22-2002-200i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i200
χ3822-2-2-22-222-22-2002-20002000-22-2002-200−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i200
χ3922-2-2-22-222-22-2002-20002000-2-2200-2200i2−i2i2−i2i2−i2i2−i20000000000000000−i2i2−i2i200
χ4022-2-2-22-222-22-2002-20002000-2-2200-2200−i2i2−i2i2−i2i2−i2i20000000000000000i2−i2i2−i200
χ4122-2-2-22-22-22-2200-220002000-22-200-2200i2−i2i2−i2−i2i2−i2i20000000000000000i2−i2−i2i200
χ4222-2-2-22-22-22-2200-220002000-22-200-2200−i2i2−i2i2i2−i2i2−i20000000000000000−i2i2i2−i200
χ4322-2-2-22-22-22-2200-220002000-2-22002-200i2−i2i2−i2−i2i2−i2i20000000000000000−i2i2i2−i200
χ4422-2-2-22-22-22-2200-220002000-2-22002-200−i2i2−i2i2i2−i2i2−i20000000000000000i2−i2−i2i200
χ45444-44-4-4-44i4i−4i−4i0000−4i4i00-440000000000000000000000000000000000000000
χ46444-44-4-4-4−4i−4i4i4i00004i−4i00-440000000000000000000000000000000000000000
χ4744-44-4-44-44i−4i−4i4i000000000000000000002-2-22−2i2i2i−2i0000000000000000000000
χ4844-44-4-44-44i−4i−4i4i00000000000000000000-222-22i−2i−2i2i0000000000000000000000
χ4944-44-4-44-4−4i4i4i−4i000000000000000000002-2-222i−2i−2i2i0000000000000000000000
χ5044-44-4-44-4−4i4i4i−4i00000000000000000000-222-2−2i2i2i−2i0000000000000000000000
χ5144-4-4-44-444-44-400-44000-4000400000000000000000000000000000000000000
χ5244-4-4-44-44-44-44004-4000-4000400000000000000000000000000000000000000
χ534-444-44-4-400004-4000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ544-444-44-4-400004-400000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ554-444-44-4-40000-44000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ564-444-44-4-40000-4400000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ574-44-4-4-44400000000004000-40000000000000000000002i2−2i2−2i22i200000000000000
χ584-44-4-4-44400000000004000-4000000000000000000000−2i22i22i2−2i200000000000000
χ594-44-4-4-4440000000000-400040000000000000000022−22−2222000000000000000000
χ604-44-4-4-4440000000000-4000400000000000000000−222222−22000000000000000000
χ618-8-888-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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