Finite Group Databasebeta

← Group #297505

Character table — Group #297505

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111
χ9111111111111-1-1-1-1-1-11111-1111111-1-11111-1-1-1-11-1-1-1111-11-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-1111111-1-1-1-1-1-111111-1-1-1-1-11-11-111-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-11111-1-1111111-1-1-1-1-11-1-1-1-1-11-111111-1-1-1-111
χ12111111111111-1-1-1-1-1-11111-11111-1-111-1-1-1-11111-11-1-111-11-11-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1111-1-11-1-1111-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1111111-1-11-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11-11111-111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-20000222200000000000000-2-2000000000000
χ182222222222222222-2-2-2-2-2-2-20000-2-2-2-20000000000000022000000000000
χ19222222222222-2-2-2-222-2-2-2-22000022-2-200000000000000-22000000000000
χ20222222222222-2-2-2-222-2-2-2-220000-2-222000000000000002-2000000000000
χ2122222222-2-2-2-222-2-2222-2-22-222-2-2000000000000002-20000000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-2-22200000000000000-220000000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-22000000000000000022000000-2-20000000000
χ2422222222-2-2-2-222-2-2-2-2-222-220000000000000000-2-2000000220000000000
χ2522222222-2-2-2-2-2-22222-222-2-200000000000000002-2000000-220000000000
χ2622222222-2-2-2-2-2-22222-222-2-20000000000000000-220000002-20000000000
χ2722222222-2-2-2-2-2-222-2-22-2-22222-2-200000000000000-220000000000000000
χ2822222222-2-2-2-2-2-222-2-22-2-222-2-222000000000000002-20000000000000000
χ29222-2-2-22-2-2-2222-22-2000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ30222-2-2-22-2-2-2222-22-2000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ31222-2-2-22-2-2-2222-22-200000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ32222-2-2-22-2-2-2222-22-200000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ33222-2-2-22-2-2-222-22-22000000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ34222-2-2-22-2-2-222-22-22000000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ35222-2-2-22-2-2-222-22-2200000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ36222-2-2-22-2-2-222-22-2200000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-2-2-2-22222-22-2000000-22-2202-22-2000000002-22-2000000000000002-20000
χ382-2-2-2-22222-22-2000000-22-2202-22-200000000-22-2200000000000000-220000
χ392-2-2-2-22222-22-2000000-22-220-22-22000000002-22-200000000000000-220000
χ402-2-2-2-22222-22-2000000-22-220-22-2200000000-22-22000000000000002-20000
χ412-2-2-2-2222-22-22000000-2-22202-2-2200002-22-200000000000000002-2000000
χ422-2-2-2-2222-22-22000000-2-22202-2-220000-22-220000000000000000-22000000
χ432-2-2-2-2222-22-22000000-2-2220-222-200002-22-20000000000000000-22000000
χ442-2-2-2-2222-22-22000000-2-2220-222-20000-22-2200000000000000002-2000000
χ45444-4-4-44-444-4-44-4-440000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-4-444-40000000000000000000000000000000000000000000
χ4744-44-4-4-44000000004i−4i00000000000000000000000002i−2i00002-200000000
χ4844-44-4-4-44000000004i−4i0000000000000000000000000−2i2i0000-2200000000
χ4944-44-4-4-4400000000−4i4i00000000000000000000000002i−2i0000-2200000000
χ5044-44-4-4-4400000000−4i4i0000000000000000000000000−2i2i00002-200000000
χ514-4-444-44-44-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-444-44-44-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-444-44-4-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-4-444-44-4-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-4-4-44444-44-40000004-44-40000000000000000000000000000000000000
χ564-4-4-4-4444-44-4400000044-4-40000000000000000000000000000000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-888-88-8-8000000000000000000000000000000000000000000000000000
χ598-88-88-8-88000000000000000000000000000000000000000000000000000

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