Finite Group Databasebeta

← Group #279453

Character table — Group #279453

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ1011111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ1211111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1
χ17222222222-2-22222222-2-2-2-222-2-222-2-222-2-2-2000000000000000000000000000000
χ18222222222-2-22222222-2-2-2-222-2-2-2-222-2-2-222000000000000000000000000000000
χ19222222222-2-2-2-2-2-2222-2-2-2-2-2-22222-2-2-2-2222000000000000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-2-2-2-222-2-222222-2-2000000000000000000000000000000
χ2122222222-2222222-2-2-222-2-2-2-222000000-2000000000022-2-222-2-200000000000000
χ2222222222-2222222-2-2-222-2-2-2-222000000-20000000000-2-222-2-22200000000000000
χ2322222222-222-2-2-2-2-2-2-222-2-222-2-20000002000000000022-2-2-2-22200000000000000
χ2422222222-222-2-2-2-2-2-2-222-2-222-2-200000020000000000-2-22222-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-2-2-200000020000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-22222-2-2-2-2-222-2-2-2-20000002000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000−2i2i2i−2i0000
χ29222-22-2-2-222200002-2-2-2-22-200002-22-20000022-2-20000000000002-2000000000000
χ30222-22-2-2-222200002-2-2-2-22-200002-22-200000-2-222000000000000-22000000000000
χ31222-22-2-2-222200002-2-2-2-22-20000-22-220000022-2-2000000000000-22000000000000
χ32222-22-2-2-222200002-2-2-2-22-20000-22-2200000-2-2220000000000002-2000000000000
χ33222-22-2-2-22-2-200002-2-222-2200002-2-220000000002i2i−2i−2i00000000002i−2i0000000000
χ34222-22-2-2-22-2-200002-2-222-2200002-2-22000000000−2i−2i2i2i0000000000−2i2i0000000000
χ35222-22-2-2-22-2-200002-2-222-220000-222-20000000002i2i−2i−2i0000000000−2i2i0000000000
χ36222-22-2-2-22-2-200002-2-222-220000-222-2000000000−2i−2i2i2i00000000002i−2i0000000000
χ372-2-222-2-2202-22i2i−2i−2i0002-200002i−2i000000000i2−i2i2−i22−22−2002-2002i−2i0000i2−i200002−200
χ382-2-222-2-2202-22i2i−2i−2i0002-200002i−2i000000000i2−i2i2−i22−22−200-2200−2i2i0000−i2i20000−2200
χ392-2-222-2-2202-22i2i−2i−2i0002-200002i−2i000000000−i2i2−i2i2−22−22002-2002i−2i0000−i2i20000−2200
χ402-2-222-2-2202-22i2i−2i−2i0002-200002i−2i000000000−i2i2−i2i2−22−2200-2200−2i2i0000i2−i200002−200
χ412-2-222-2-2202-2−2i−2i2i2i0002-20000−2i2i000000000i2−i2i2−i2−22−22002-200−2i2i0000i2−i20000−2200
χ422-2-222-2-2202-2−2i−2i2i2i0002-20000−2i2i000000000i2−i2i2−i2−22−2200-22002i−2i0000−i2i200002−200
χ432-2-222-2-2202-2−2i−2i2i2i0002-20000−2i2i000000000−i2i2−i2i22−22−2002-200−2i2i0000−i2i200002−200
χ442-2-222-2-2202-2−2i−2i2i2i0002-20000−2i2i000000000−i2i2−i2i22−22−200-22002i−2i0000i2−i20000−2200
χ45444-44-4-4-4-4440000-444-4-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-4-4-40000-444444-40000000000000000000000000000000000000000000
χ4744-44-44-4-44000000-44-40000000000004-4000000000000000000000000000000000
χ4844-44-44-4-44000000-44-4000000000000-44000000000000000000000000000000000
χ4944-44-44-4-4-40000004-440000000000000004i−4i000000000000000000000000000000
χ5044-44-44-4-4-40000004-44000000000000000−4i4i000000000000000000000000000000
χ5144-4-4-4-4444004i−4i4i−4i-4-4400004i−4i00000000000000000000000000000000000000000
χ5244-4-4-4-444400−4i4i−4i4i-4-440000−4i4i00000000000000000000000000000000000000000
χ5344-4-4-4-444-4004i−4i4i−4i44-40000−4i4i00000000000000000000000000000000000000000
χ5444-4-4-4-444-400−4i4i−4i4i44-400004i−4i00000000000000000000000000000000000000000
χ554-44-4-44-440004-4-4400000000000000000000000000002i2−2i2002i2−2i20000000000000000
χ564-44-4-44-440004-4-440000000000000000000000000000−2i22i200−2i22i20000000000000000
χ574-44-4-44-44000-444-400000000000000000000000000002i2−2i200−2i22i20000000000000000
χ584-44-4-44-44000-444-40000000000000000000000000000−2i22i2002i2−2i20000000000000000
χ594-4-444-4-440-444i4i−4i−4i000-440000−4i4i000000000000000000000000000000000000000
χ604-4-444-4-440-44−4i−4i4i4i000-4400004i−4i000000000000000000000000000000000000000
χ614-4-4-4444-404-40000000-440000000000000002i2−2i2−2i22i200000000000000000000000000
χ624-4-4-4444-404-40000000-44000000000000000−2i22i22i2−2i200000000000000000000000000
χ634-4-4-4444-40-4400000004-400000000000000000002i2−2i2−2i22i20000000000000000000000
χ644-4-4-4444-40-4400000004-40000000000000000000−2i22i22i2−2i20000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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