Finite Group Databasebeta

← Group #276552

Character table — Group #276552

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ101111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-11
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1
χ17222222222-2222222-2-22-2-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ18222222222-2222222-2-22-2-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-2222-2-22222-2-2000000000000000000000000000000
χ2122222222-222222-2-222-22-2-2-2-222-20000000022-2-222-2-20000000000000000000000
χ2222222222-222222-2-222-22-2-2-2-222-200000000-2-222-2-2220000000000000000000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-220000000022-2-2-2-2220000000000000000000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-2200000000-2-22222-2-20000000000000000000000
χ2522222222-2-22222-2-2-2-2-2-222-2-2-2-220000000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-22222-2-2-2-2-2-222-2-2-2-22000000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000−2i2i2i−2i0000
χ29222-2-22-2-2-2200002-2-2-2222-2000002i−2i2i−2i0000000000002i2i−2i−2i00002-2000000000000
χ30222-2-22-2-2-2200002-2-2-2222-2000002i−2i2i−2i000000000000−2i−2i2i2i0000-22000000000000
χ31222-2-22-2-2-2200002-2-2-2222-200000−2i2i−2i2i0000000000002i2i−2i−2i0000-22000000000000
χ32222-2-22-2-2-2200002-2-2-2222-200000−2i2i−2i2i000000000000−2i−2i2i2i00002-2000000000000
χ33222-2-22-2-2-2-200002-2222-2-22000002i−2i−2i2i000000000000000022-2-2002i−2i0000000000
χ34222-2-22-2-2-2-200002-2222-2-22000002i−2i−2i2i0000000000000000-2-22200−2i2i0000000000
χ35222-2-22-2-2-2-200002-2222-2-2200000−2i2i2i−2i000000000000000022-2-200−2i2i0000000000
χ36222-2-22-2-2-2-200002-2222-2-2200000−2i2i2i−2i0000000000000000-2-222002i−2i0000000000
χ372-2-2-2-22220222-2-2002-20-200002-2000000000002-2002-2i2−i2i2−i2i2−i2i2−i20000i2−i20000i2−i200
χ382-2-2-2-22220222-2-2002-20-200002-2000000000002-2002-2−i2i2−i2i2−i2i2−i2i20000−i2i20000−i2i200
χ392-2-2-2-22220222-2-2002-20-200002-200000000000-2200-22i2−i2i2−i2i2−i2i2−i20000−i2i20000−i2i200
χ402-2-2-2-22220222-2-2002-20-200002-200000000000-2200-22−i2i2−i2i2−i2i2−i2i20000i2−i20000i2−i200
χ412-2-2-2-222202-2-222002-20-20000-22000000000002-200-22i2−i2i2−i2−i2i2−i2i20000i2−i20000−i2i200
χ422-2-2-2-222202-2-222002-20-20000-22000000000002-200-22−i2i2−i2i2i2−i2i2−i20000−i2i20000i2−i200
χ432-2-2-2-222202-2-222002-20-20000-2200000000000-22002-2i2−i2i2−i2−i2i2−i2i20000−i2i20000i2−i200
χ442-2-2-2-222202-2-222002-20-20000-2200000000000-22002-2−i2i2−i2i2i2−i2i2−i20000i2−i20000−i2i200
χ45444-4-44-4-4440000-44-4-4-44-440000000000000000000000000000000000000000000
χ46444-4-44-4-44-40000-4444-4-44-40000000000000000000000000000000000000000000
χ4744-44-4-44-44000004-400-40000000000004-400000000000000000000000000000000
χ4844-44-4-44-44000004-400-4000000000000-4400000000000000000000000000000000
χ4944-44-4-44-4-400000-44004000000000000004i−4i000000000000000000000000000000
χ5044-44-4-44-4-400000-4400400000000000000−4i4i000000000000000000000000000000
χ5144-4-44-4-44404i−4i4i−4i-4-40040004i−4i00000000000000000000000000000000000000000
χ5244-4-44-4-4440−4i4i−4i4i-4-4004000−4i4i00000000000000000000000000000000000000000
χ5344-4-44-4-44-404i−4i4i−4i4400-4000−4i4i00000000000000000000000000000000000000000
χ5444-4-44-4-44-40−4i4i−4i4i4400-40004i−4i00000000000000000000000000000000000000000
χ554-444-4-4-44004i−4i−4i4i0000000000000000000002i2−2i20022−22000000000000000000000000
χ564-444-4-4-44004i−4i−4i4i000000000000000000000−2i22i200−2222000000000000000000000000
χ574-444-4-4-4400−4i4i4i−4i0000000000000000000002i2−2i200−2222000000000000000000000000
χ584-444-4-4-4400−4i4i4i−4i000000000000000000000−2i22i20022−22000000000000000000000000
χ594-4-4444-4-404000000-440-40000000000000000000000022−22−2222000000000000000000
χ604-4-4444-4-404000000-440-400000000000000000000000−222222−22000000000000000000
χ614-4-4444-4-40-40000004-4040000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-4444-4-40-40000004-404000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-4-44440-444-4-400-44040000-44000000000000000000000000000000000000000
χ644-4-4-4-44440-4-4-44400-440400004-4000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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