Finite Group Databasebeta

← Group #286183

Character table — Group #286183

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444488888888888888888888888824444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
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
χ911111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-1-1-1111-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-111-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-1-11
χ1722222222222222-2-2-22-2222-2-2-2-2-200000000000000000000000022-2-20000000000
χ1822222222222222-2-2-22-2222-2-2-2-2-2000000000000000000000000-2-2220000000000
χ19222222222222-2-2222-22-2-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ20222222222222-2-2222-22-2-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-222200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ2322222222-2-2-2-222-2-2-22-22-2-222-2-220000000000000000000000002-22-20000000000
χ2422222222-2-2-2-222-2-2-22-22-2-222-2-22000000000000000000000000-22-220000000000
χ2522222222-2-2-2-2-2-2222-22-222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-22-222-2-2-2-22-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ29222-22-2-2-222-2-2002-2-2020002-2000002-2002-200000000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i200
χ30222-22-2-2-222-2-2002-2-2020002-2000002-2002-200000000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i200
χ31222-22-2-2-222-2-2002-2-2020002-200000-2200-2200000000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i200
χ32222-22-2-2-222-2-2002-2-2020002-200000-2200-2200000000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i200
χ33222-22-2-2-2-2-222002-2-202000-22000002-200-2200000000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i200
χ34222-22-2-2-2-2-222002-2-202000-22000002-200-2200000000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i200
χ35222-22-2-2-2-2-222002-2-202000-2200000-22002-200000000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i200
χ36222-22-2-2-2-2-222002-2-202000-2200000-22002-200000000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i200
χ372-2-222-22-200002-222-2-2-2200002-200000000000002i−2i2i−2i00002-22-200002i−2i00000000
χ382-2-222-22-200002-222-2-2-2200002-200000000000002i−2i2i−2i0000-22-220000−2i2i00000000
χ392-2-222-22-200002-222-2-2-2200002-20000000000000−2i2i−2i2i00002-22-20000−2i2i00000000
χ402-2-222-22-200002-222-2-2-2200002-20000000000000−2i2i−2i2i0000-22-2200002i−2i00000000
χ412-2-222-22-20000-22-2-2222-200002-200000000000002-2-222i−2i2i−2i00000000002i−2i000000
χ422-2-222-22-20000-22-2-2222-200002-200000000000002-2-22−2i2i−2i2i0000000000−2i2i000000
χ432-2-222-22-20000-22-2-2222-200002-20000000000000-222-22i−2i2i−2i0000000000−2i2i000000
χ442-2-222-22-20000-22-2-2222-200002-20000000000000-222-2−2i2i−2i2i00000000002i−2i000000
χ45444-44-4-4-444-4-400-4440-4000-4400000000000000000000000000000000000000000
χ46444-44-4-4-4-4-44400-4440-40004-400000000000000000000000000000000000000000
χ4744-44-44-4-400004-400040-400000000000000022−2222−2200000000000000000000000000
χ4844-44-44-4-400004-400040-4000000000000000−2222−222200000000000000000000000000
χ4944-44-44-4-40000-44000-4040000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-44-44-4-40000-44000-404000000000000000−2i22i22i2−2i200000000000000000000000000
χ514-444-4-4-444-44-444000-40-44-40000000000000000000000000000000000000000000
χ524-444-4-4-444-44-4-4-4000404-440000000000000000000000000000000000000000000
χ534-444-4-4-44-44-4444000-40-4-440000000000000000000000000000000000000000000
χ544-444-4-4-44-44-44-4-40004044-40000000000000000000000000000000000000000000
χ554-44-4-444-44-4-440000000000000002i2−2i2002i2−2i200000000000000000000000000000000
χ564-44-4-444-44-4-44000000000000000−2i22i200−2i22i200000000000000000000000000000000
χ574-44-4-444-4-444-40000000000000002i2−2i200−2i22i200000000000000000000000000000000
χ584-44-4-444-4-444-4000000000000000−2i22i2002i2−2i200000000000000000000000000000000
χ594-4-444-44-400004-4-4-44-4440000-44000000000000000000000000000000000000000
χ604-4-444-44-40000-4444-44-4-40000-44000000000000000000000000000000000000000
χ614-4-4-444-440000004-440-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-4-444-440000004-440-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-444-44000000-44-40400000000000000000000000022−22−2222000000000000000000
χ644-4-4-444-44000000-44-404000000000000000000000000−222222−22000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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