Finite Group Databasebeta

← Group #279431

Character table — Group #279431

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ172222222222-2-222222-22-2-2-2-2-22222-2-222-2-2-2000000000000000000000000000000
χ182222222222-2-222222-22-2-2-2-2-222-2-222-2-222-2000000000000000000000000000000
χ192222222222-2-2-2-2-2-22-22-222-2-2-2-222-2-2-2-2222000000000000000000000000000000
χ202222222222-2-2-2-2-2-22-22-222-2-2-2-2-2-22222-2-22000000000000000000000000000000
χ2122222222-2-2222222-22-2222-2-2-2-200000000-2000022220000-2-2-2-200000000000000
χ2222222222-2-2222222-22-2222-2-2-2-200000000-20000-2-2-2-20000222200000000000000
χ2322222222-2-222-2-2-2-2-22-22-2-2-2-222000000002000022-2-20000-2-22200000000000000
χ2422222222-2-222-2-2-2-2-22-22-2-2-2-2220000000020000-2-222000022-2-200000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-222-2-2000000002000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-22222-2-2-2-2-2-222-2-200000000200000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-2000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000000000−2i2i2i−2i000000
χ29222-2-22-2-22-22200002-2-2-2002-2002-22-20000022-2-20000000000002-2000000000000
χ30222-2-22-2-22-22200002-2-2-2002-2002-22-200000-2-222000000000000-22000000000000
χ31222-2-22-2-22-22200002-2-2-2002-200-22-220000022-2-2000000000000-22000000000000
χ32222-2-22-2-22-22200002-2-2-2002-200-22-2200000-2-2220000000000002-2000000000000
χ33222-2-22-2-22-2-2-2000022-2200-22002-2-2200000000000002i2i−2i−2i0000002i−2i0000000000
χ34222-2-22-2-22-2-2-2000022-2200-22002-2-220000000000000−2i−2i2i2i000000−2i2i0000000000
χ35222-2-22-2-22-2-2-2000022-2200-2200-222-200000000000002i2i−2i−2i000000−2i2i0000000000
χ36222-2-22-2-22-2-2-2000022-2200-2200-222-20000000000000−2i−2i2i2i0000002i−2i0000000000
χ372-2222-2-2-2002-222-2-20-2022-20000000000000i2−i2i2−i20000i2−i2i2−i22-22-200000000i2−i2i2−i200
χ382-2222-2-2-2002-222-2-20-2022-20000000000000i2−i2i2−i20000i2−i2i2−i2-22-2200000000−i2i2−i2i200
χ392-2222-2-2-2002-222-2-20-2022-20000000000000−i2i2−i2i20000−i2i2−i2i22-22-200000000−i2i2−i2i200
χ402-2222-2-2-2002-222-2-20-2022-20000000000000−i2i2−i2i20000−i2i2−i2i2-22-2200000000i2−i2i2−i200
χ412-2222-2-2-2002-2-2-2220-202-220000000000000i2−i2i2−i20000−i2i2−i2i22-2-2200000000i2−i2−i2i200
χ422-2222-2-2-2002-2-2-2220-202-220000000000000i2−i2i2−i20000−i2i2−i2i2-222-200000000−i2i2i2−i200
χ432-2222-2-2-2002-2-2-2220-202-220000000000000−i2i2−i2i20000i2−i2i2−i22-2-2200000000−i2i2i2−i200
χ442-2222-2-2-2002-2-2-2220-202-220000000000000−i2i2−i2i20000i2−i2i2−i2-222-200000000i2−i2−i2i200
χ45444-4-44-4-4-44440000-4-44-400-4400000000000000000000000000000000000000000
χ46444-4-44-4-4-44-4-40000-4444004-400000000000000000000000000000000000000000
χ4744-44-4-44-44-4000000-404000000000004i−4i000000000000000000000000000000000
χ4844-44-4-44-44-4000000-40400000000000−4i4i000000000000000000000000000000000
χ4944-44-4-44-4-4400000040-400000000000004-40000000000000000000000000000000
χ5044-44-4-44-4-4400000040-40000000000000-440000000000000000000000000000000
χ5144-4-44-4-4444004-44-4-40-4000004-4000000000000000000000000000000000000000
χ5244-4-44-4-444400-44-44-40-400000-44000000000000000000000000000000000000000
χ5344-4-44-4-44-4-4004-44-440400000-44000000000000000000000000000000000000000
χ5444-4-44-4-44-4-400-44-44404000004-4000000000000000000000000000000000000000
χ554-4444-4-4-400-4444-4-4040-4-440000000000000000000000000000000000000000000
χ564-4444-4-4-400-44-4-444040-44-40000000000000000000000000000000000000000000
χ574-44-4-4-444004-40000040-40000000000000002i2−2i2−2i22i200000000000000000000000000
χ584-44-4-4-444004-40000040-4000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-44-4-4-44400-4400000-4040000000000000000000000022−22−2222000000000000000000
χ604-44-4-4-44400-4400000-40400000000000000000000000−222222−22000000000000000000
χ614-4-4-4444-400004-4-44000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ624-4-4-4444-400004-4-4400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ634-4-4-4444-40000-444-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ644-4-4-4444-40000-444-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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