Finite Group Databasebeta

← Group #277171

Character table — Group #277171

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888822448888888824
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
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-11111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-11111-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11
χ1111111111111-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-11
χ17222222222-2-22222222-2-222-2-2-2-222-2-2-2-2-222000000000000000000000000000000
χ18222222222-2-22222222-2-222-2-2-2-2-2-2-22222-2-2000000000000000000000000000000
χ19222222222-2-2-2-2-2-2222-2-2-2-222-2-2222-2-222-2-2000000000000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-2-222-2-2-2-2222-2-222000000000000000000000000000000
χ2122222222-2222222-2-2-222-2-222-2-200-20000000000000022-2-222-2-200000000000000
χ2222222222-2222222-2-2-222-2-222-2-200-200000000000000-2-222-2-22200000000000000
χ2322222222-222-2-2-2-2-2-2-22222-2-2-2-20020000000000000022-2-2-2-22200000000000000
χ2422222222-222-2-2-2-2-2-2-22222-2-2-2-200200000000000000-2-22222-2-200000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-22200200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-2220020000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000000−2i2i2i−2i0000
χ29222-22-2-2-202-22i2i−2i−2i0002-2002i−2i00000000000i2i2−i2−i222−2−2002i−2i002-200002−20000i2−i200
χ30222-22-2-2-202-22i2i−2i−2i0002-2002i−2i00000000000i2i2−i2−i222−2−200−2i2i00-220000−220000−i2i200
χ31222-22-2-2-202-22i2i−2i−2i0002-2002i−2i00000000000−i2−i2i2i2−2−222002i−2i002-20000−220000−i2i200
χ32222-22-2-2-202-22i2i−2i−2i0002-2002i−2i00000000000−i2−i2i2i2−2−22200−2i2i00-2200002−20000i2−i200
χ33222-22-2-2-202-2−2i−2i2i2i0002-200−2i2i00000000000i2i2−i2−i2−2−222002i−2i00-2200002−20000−i2i200
χ34222-22-2-2-202-2−2i−2i2i2i0002-200−2i2i00000000000i2i2−i2−i2−2−22200−2i2i002-20000−220000i2−i200
χ35222-22-2-2-202-2−2i−2i2i2i0002-200−2i2i00000000000−i2−i2i2i222−2−2002i−2i00-220000−220000i2−i200
χ36222-22-2-2-202-2−2i−2i2i2i0002-200−2i2i00000000000−i2−i2i2i222−2−200−2i2i002-200002−20000−i2i200
χ372-2-222-22-2-22200002-22-2-200002-22-202-200002i−2i2i−2i000000000000002i−2i0000000000
χ382-2-222-22-2-22200002-22-2-200002-22-202-20000−2i2i−2i2i00000000000000−2i2i0000000000
χ392-2-222-22-2-22200002-22-2-200002-2-220-2200002i−2i2i−2i00000000000000−2i2i0000000000
χ402-2-222-22-2-22200002-22-2-200002-2-220-220000−2i2i−2i2i000000000000002i−2i0000000000
χ412-2-222-22-2-2-2-200002-22220000-222-20-22000000002-22-2000000002-2000000000000
χ422-2-222-22-2-2-2-200002-22220000-222-20-2200000000-22-2200000000-22000000000000
χ432-2-222-22-2-2-2-200002-22220000-22-2202-2000000002-22-200000000-22000000000000
χ442-2-222-22-2-2-2-200002-22220000-22-2202-200000000-22-22000000002-2000000000000
χ45444-44-4-4-40-444i4i−4i−4i000-4400−4i4i00000000000000000000000000000000000000000
χ46444-44-4-4-40-44−4i−4i4i4i000-44004i−4i00000000000000000000000000000000000000000
χ4744-44-44-4-44004i−4i4i−4i-4-44004i−4i0000000000000000000000000000000000000000000
χ4844-44-44-4-4400−4i4i−4i4i-4-4400−4i4i0000000000000000000000000000000000000000000
χ4944-44-44-4-4-4004i−4i4i−4i44-400−4i4i0000000000000000000000000000000000000000000
χ5044-44-44-4-4-400−4i4i−4i4i44-4004i−4i0000000000000000000000000000000000000000000
χ5144-4-4-4-4440004-4-44000000000000000000000000000022−220022−220000000000000000
χ5244-4-4-4-4440004-4-440000000000000000000000000000−222200−22220000000000000000
χ5344-4-4-4-444000-444-4000000000000000000000000000022−2200−22220000000000000000
χ5444-4-4-4-444000-444-40000000000000000000000000000−22220022−220000000000000000
χ554-444-4-4-4440000004-4-400000000000004i−4i00000000000000000000000000000000
χ564-444-4-4-4440000004-4-40000000000000−4i4i00000000000000000000000000000000
χ574-444-4-4-44-4000000-4440000000000000004-4000000000000000000000000000000
χ584-444-4-4-44-4000000-444000000000000000-44000000000000000000000000000000
χ594-4-444-44-44440000-44-4-4-40000-44000000000000000000000000000000000000000
χ604-4-444-44-44-4-40000-44-44400004-4000000000000000000000000000000000000000
χ614-4-4-444-4404-40000000-4400000000000000022−22−222200000000000000000000000000
χ624-4-4-444-4404-40000000-44000000000000000−222222−2200000000000000000000000000
χ634-4-4-444-440-4400000004-4000000000000000000022−22−22220000000000000000000000
χ644-4-4-444-440-4400000004-40000000000000000000−222222−220000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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