Finite Group Databasebeta

← Group #328469

Character table — Group #328469

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444222244444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111-1-1-1-1111-1-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ101111111111111-1-1-1-1111-1-1-1-1111111-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ111111111111111-1-1-1-1111-1-1-1-11111-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11
χ121111111111111-1-1-1-1111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111-1
χ131111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-11
χ141111111111111-1-1-1-1111-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1
χ151111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ161111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222222-2-22222-2-2222-2-2-2-20022-20000-2-2-2-200220000000000000000000000
χ1822222222222-2-22222-2-2222-2-2-2-200-2-2-20000222200-2-20000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-222-2-200222000022-2-200-2-20000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-222-2-200-2-220000-2-22200220000000000000000000000
χ2122222222-2-2-222222222-2-2-222-2-22200-2-2-2-2-2000022000000000000000000000000
χ2222222222-2-2-222222222-2-2-222-2-2-2-200-222220000-2-2000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-222-2-2-2-222002-2-2220000-2-2000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-222-2-2-2-2-2-200222-2-2000022000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-22200002000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-2220000200000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000-222-20000000000
χ29222-2-2-22-20002-22i2i−2i−2i2-20002i−2i00000002i−2i2-20000000022−2−2i2i2−i2−i200000000i2−i22−200
χ30222-2-2-22-20002-22i2i−2i−2i2-20002i−2i00000002i−2i2-200000000−2−222−i2−i2i2i200000000−i2i2−2200
χ31222-2-2-22-20002-22i2i−2i−2i2-20002i−2i0000000−2i2i-220000000022−2−2i2i2−i2−i200000000−i2i2−2200
χ32222-2-2-22-20002-22i2i−2i−2i2-20002i−2i0000000−2i2i-2200000000−2−222−i2−i2i2i200000000i2−i22−200
χ33222-2-2-22-20002-2−2i−2i2i2i2-2000−2i2i00000002i−2i-220000000022−2−2−i2−i2i2i200000000i2−i2−2200
χ34222-2-2-22-20002-2−2i−2i2i2i2-2000−2i2i00000002i−2i-2200000000−2−222i2i2−i2−i200000000−i2i22−200
χ35222-2-2-22-20002-2−2i−2i2i2i2-2000−2i2i0000000−2i2i2-20000000022−2−2−i2−i2i2i200000000−i2i22−200
χ36222-2-2-22-20002-2−2i−2i2i2i2-2000−2i2i0000000−2i2i2-200000000−2−222i2i2−i2−i200000000i2−i2−2200
χ372-222-2-2-2222-2002-22-200-22-20000002-2000000000002-2i2−i2i2−i2i2−i2i2−i20000i2−i2i2−i2000000
χ382-222-2-2-2222-2002-22-200-22-20000002-2000000000002-2−i2i2−i2i2−i2i2−i2i20000−i2i2−i2i2000000
χ392-222-2-2-2222-2002-22-200-22-2000000-2200000000000-22i2−i2i2−i2i2−i2i2−i20000−i2i2−i2i2000000
χ402-222-2-2-2222-2002-22-200-22-2000000-2200000000000-22−i2i2−i2i2−i2i2−i2i20000i2−i2i2−i2000000
χ412-222-2-2-2222-200-22-2200-2-220000002-200000000000-22i2−i2i2−i2−i2i2−i2i20000i2−i2−i2i2000000
χ422-222-2-2-2222-200-22-2200-2-220000002-200000000000-22−i2i2−i2i2i2−i2i2−i20000−i2i2i2−i2000000
χ432-222-2-2-2222-200-22-2200-2-22000000-22000000000002-2i2−i2i2−i2−i2i2−i2i20000−i2i2i2−i2000000
χ442-222-2-2-2222-200-22-2200-2-22000000-22000000000002-2−i2i2−i2i2i2−i2i2−i20000i2−i2−i2i2000000
χ45444-4-4-44-4000-444i4i−4i−4i-44000−4i4i00000000000000000000000000000000000000000
χ46444-4-4-44-4000-44−4i−4i4i4i-440004i−4i00000000000000000000000000000000000000000
χ4744-444-4-4-44-4400000000-40000000000000004-40000000000000000000000000000
χ4844-444-4-4-44-4400000000-4000000000000000-440000000000000000000000000000
χ4944-444-4-4-4-44-4000000004000000000000000004i−4i00000000000000000000000000
χ5044-444-4-4-4-44-400000000400000000000000000−4i4i00000000000000000000000000
χ514-444-4-4-44-4-44004-44-4004-440000000000000000000000000000000000000000000
χ524-444-4-4-44-4-4400-44-440044-40000000000000000000000000000000000000000000
χ534-44-444-4-4000004i−4i−4i4i000000000000000000000000002i−2i−2i2i-222-200000000000000
χ544-44-444-4-4000004i−4i−4i4i00000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ554-44-444-4-400000−4i4i4i−4i000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ564-44-444-4-400000−4i4i4i−4i00000000000000000000000000−2i2i2i−2i-222-200000000000000
χ574-4-44-444-44-4-4440000-4-440000-44000000000000000000000000000000000000000
χ584-4-44-444-44-4-4-4-4000044400004-4000000000000000000000000000000000000000
χ594-4-44-444-4-444440000-4-4-400004-4000000000000000000000000000000000000000
χ604-4-44-444-4-444-4-4000044-40000-44000000000000000000000000000000000000000
χ614-4-4-44-4440004-40000-4400000004-40000000000000000000000000000000000000
χ624-4-4-44-4440004-40000-440000000-440000000000000000000000000000000000000
χ634-4-4-44-444000-4400004-4000000000000000000004-4000000000000000000000000
χ644-4-4-44-444000-4400004-400000000000000000000-44000000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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