Finite Group Databasebeta

← Group #292222

Character table — Group #292222

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-11111
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1111-1-11111-1-1-1-1
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-11-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111-11-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-11-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111111
χ9111111111111-1-1-1-1-1-11111-111-1-111111111-1-1-1-111-11-11-1-1-1-1-1111-1-111-1-1
χ10111111111111-1-1-1-1-1-11111-111-1-11111-1-1-1-11111-1-1-11-11-111-1-11-1-111-1-111
χ11111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1111-11-1-1-11111-1-1
χ12111111111111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-111-1-1-1-111
χ13111111111111-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-111
χ14111111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-11111111-1-1-11-1-11-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11111111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-22222000000000000000-200000-20000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-200000000000000020000020000000000
χ19222222222222-2-2-2-222-2-2-2-2222-2-2000000000000000-20000020000000000
χ20222222222222-2-2-2-222-2-2-2-22-2-222000000000000000200000-20000000000
χ2122222222-2-2-2-222-2-2222-2-22-2000000000000000000200-2-20000200000000
χ2222222222-2-2-2-222-2-2222-2-22-2000000000000000000-200220000-200000000
χ2322222222-2-2-2-222-2-2-2-2-222-22000022-2-2000000000000200000-2000000000
χ2422222222-2-2-2-222-2-2-2-2-222-220000-2-222000000000000-2000002000000000
χ2522222222-2-2-2-2-2-22222-222-2-2000022-2-2000000000000-2000002000000000
χ2622222222-2-2-2-2-2-22222-222-2-20000-2-222000000000000200000-2000000000
χ2722222222-2-2-2-2-2-222-2-22-2-2220000000000000000002002-20000-200000000
χ2822222222-2-2-2-2-2-222-2-22-2-222000000000000000000-200-220000200000000
χ29222-22-2-2-22-2-222-22-200000002-22-20000i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2i2−i2
χ30222-22-2-2-22-2-222-22-200000002-22-20000−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−i2i2
χ31222-22-2-2-22-2-222-22-20000000-22-220000i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−i2i2
χ32222-22-2-2-22-2-222-22-20000000-22-220000−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2i2−i2
χ33222-22-2-2-22-2-22-22-2200000002-2-220000i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2
χ34222-22-2-2-22-2-22-22-2200000002-2-220000−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2
χ35222-22-2-2-22-2-22-22-220000000-222-20000i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2
χ36222-22-2-2-22-2-22-22-220000000-222-20000−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2
χ372-222-22-2-222-2-2000000-22-22000002i−2i2i−2i00002-22-2000000000000002i−2i0000
χ382-222-22-2-222-2-2000000-22-22000002i−2i2i−2i0000-22-2200000000000000−2i2i0000
χ392-222-22-2-222-2-2000000-22-2200000−2i2i−2i2i00002-22-200000000000000−2i2i0000
χ402-222-22-2-222-2-2000000-22-2200000−2i2i−2i2i0000-22-22000000000000002i−2i0000
χ412-222-22-2-2-2-22200000022-2-2000002i−2i−2i2i2i−2i2i−2i00000000000000002-2000000
χ422-222-22-2-2-2-22200000022-2-2000002i−2i−2i2i−2i2i−2i2i0000000000000000-22000000
χ432-222-22-2-2-2-22200000022-2-200000−2i2i2i−2i2i−2i2i−2i0000000000000000-22000000
χ442-222-22-2-2-2-22200000022-2-200000−2i2i2i−2i−2i2i−2i2i00000000000000002-2000000
χ45444-44-4-4-4-444-44-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-444-4-444-40000000000000000000000000000000000000000000
χ4744-4-4-44-44000000004i−4i0000000000000000000002-2000002i−2i00000000000
χ4844-4-4-44-44000000004i−4i000000000000000000000-2200000−2i2i00000000000
χ4944-4-4-44-4400000000−4i4i0000000000000000000002-200000−2i2i00000000000
χ5044-4-4-44-4400000000−4i4i000000000000000000000-22000002i−2i00000000000
χ514-444-44-4-444-4-40000004-44-40000000000000000000000000000000000000
χ524-444-44-4-4-4-444000000-4-4440000000000000000000000000000000000000
χ534-44-4-4-4444-44-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-44-4-4-4444-44-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-44-4-4-444-44-44000000000000000000022−22−2222000000000000000000000000
χ564-44-4-4-444-44-440000000000000000000−222222−22000000000000000000000000
χ5788-88-8-88-8000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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