Finite Group Databasebeta

← Group #290368

Character table — Group #290368

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-11111-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-11111-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-111-1-11-1
χ172222222222-22-2-2-22-2-222-2-2220000-222-2-200000000000000000000-220000000000
χ182222222222-22-2-2-22-2-222-2-2220000-2-2-222000000000000000000002-20000000000
χ192222222222-22-2-2-22-2-2-2-222-2-20000222-2-2000000000000000000002-20000000000
χ202222222222-22-2-2-22-2-2-2-222-2-200002-2-22200000000000000000000-220000000000
χ2122222222-2-22-2222-2-2-222-2-2-2-2222220000-2-22200000000-2-2000000000000000000
χ2222222222-2-22-2222-2-2-222-2-2-2-2-2-2-2-22000022-2-20000000022000000000000000000
χ2322222222-2-22-2222-2-2-2-2-222222222-20000-2-2-2-20000000022000000000000000000
χ2422222222-2-22-2222-2-2-2-2-22222-2-2-2-2-20000222200000000-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-20000-2000000002i2i−2i−2i00000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-20000-200000000−2i−2i2i2i0000000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000002i2i−2i−2i0000000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2220000200000000−2i−2i2i2i00000000000000002i−2i000000
χ29222-2-22-2-22-2222-2-2-22-200000000000000000002-22-222-2-20000002-2000000000000
χ30222-2-22-2-22-2222-2-2-22-200000000000000000002-22-2-2-222000000-22000000000000
χ31222-2-22-2-22-2222-2-2-22-20000000000000000000-22-2222-2-2000000-22000000000000
χ32222-2-22-2-22-2222-2-2-22-20000000000000000000-22-22-2-2220000002-2000000000000
χ33222-2-22-2-2-22-2-2-22222-200000000000000000002i−2i−2i2i00000022-2-200002i−2i00000000
χ34222-2-22-2-2-22-2-2-22222-200000000000000000002i−2i−2i2i000000-2-2220000−2i2i00000000
χ35222-2-22-2-2-22-2-2-22222-20000000000000000000−2i2i2i−2i00000022-2-20000−2i2i00000000
χ36222-2-22-2-2-22-2-2-22222-20000000000000000000−2i2i2i−2i000000-2-22200002i−2i00000000
χ372-2-2-2-222200-202-22000002-22-222-2-200000000000002−22−22-22−22−2000000002−22−200
χ382-2-2-2-222200-202-22000002-22-222-2-20000000000000−22−222-2−22−2200000000−22−2200
χ392-2-2-2-222200-202-22000002-22-2-2-22200000000000002−22−2-222−22−200000000−22−2200
χ402-2-2-2-222200-202-22000002-22-2-2-2220000000000000−22−22-22−22−22000000002−22−200
χ412-2-2-2-222200-202-2200000-22-2222-2-200000000000002−22−2-22−22−22000000002−2−2200
χ422-2-2-2-222200-202-2200000-22-2222-2-20000000000000−22−22-222−22−200000000−222−200
χ432-2-2-2-222200-202-2200000-22-22-2-22200000000000002−22−22-2−22−2200000000−222−200
χ442-2-2-2-222200-202-2200000-22-22-2-2220000000000000−22−222-22−22−2000000002−2−2200
χ45444-4-44-4-44-4-44-444-4-4400000000000000000000000000000000000000000000000
χ46444-4-44-4-4-444-44-4-44-4400000000000000000000000000000000000000000000000
χ4744-44-4-44-44-40-400040000000000000004i−4i00000000000000000000000000000000
χ4844-44-4-44-44-40-40004000000000000000−4i4i00000000000000000000000000000000
χ4944-44-4-44-4-4404000-400000000000004-40000000000000000000000000000000000
χ5044-44-4-44-4-4404000-40000000000000-440000000000000000000000000000000000
χ5144-4-44-4-44440-4000-40000000022−2222−220000022−22000000000000000000000000000000
χ5244-4-44-4-44440-4000-400000000−2222−222200000−2222000000000000000000000000000000
χ5344-4-44-4-44-4-40400040000000022−2222−2200000−2222000000000000000000000000000000
χ5444-4-44-4-44-4-404000400000000−2222−22220000022−22000000000000000000000000000000
χ554-444-4-4-4400000000004i−4i000022−22−222200000002i2−2i20000000000000000000000000000
χ564-444-4-4-4400000000004i−4i0000−222222−220000000−2i22i20000000000000000000000000000
χ574-444-4-4-440000000000−4i4i000022−22−22220000000−2i22i20000000000000000000000000000
χ584-444-4-4-440000000000−4i4i0000−222222−2200000002i2−2i20000000000000000000000000000
χ594-4-4444-4-40040-4-440000000000000000000000000000000022−22−222200000000000000
χ604-4-4444-4-40040-4-4400000000000000000000000000000000−222222−2200000000000000
χ614-4-4444-4-400-4044-40000000000000000000000000022−22−222200000000000000000000
χ624-4-4444-4-400-4044-400000000000000000000000000−222222−2200000000000000000000
χ634-4-4-4-44440040-44-4000004-4-4400000000000000000000000000000000000000000
χ644-4-4-4-44440040-44-400000-444-400000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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