Finite Group Databasebeta

← Group #279475

Character table — Group #279475

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888844
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
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ1011111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ1211111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1311111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1411111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1511111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11
χ1611111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1
χ172222222222-22222-2-222-2-2-222-2-2000000-2000000000022-2-222-2-200000000000000
χ182222222222-22222-2-222-2-2-222-2-2000000-20000000000-2-222-2-22200000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-2-2220000002000000000022-2-2-2-22200000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-2-22200000020000000000-2-22222-2-200000000000000
χ2122222222-2-22222222-2-22-2-2-2-22222-2-2-2-2-222000000000000000000000000000000
χ2222222222-2-22222222-2-22-2-2-2-222-2-22222-2-2-2000000000000000000000000000000
χ2322222222-2-22-2-2-2-222-2-22-2-222-2-222-2-2222-2-2000000000000000000000000000000
χ2422222222-2-22-2-2-2-222-2-22-2-222-2-2-2-222-2-2222000000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-2-2-200000020000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-22222-2-2-2-2-222-2-2-2-20000002000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000000000−2i2i2i−2i0000
χ29222-22-2-2-222200002-2-2-2-22-200002-22-20000022-2-20000000000002-2000000000000
χ30222-22-2-2-222200002-2-2-2-22-200002-22-200000-2-222000000000000-22000000000000
χ31222-22-2-2-222200002-2-2-2-22-20000-22-220000022-2-2000000000000-22000000000000
χ32222-22-2-2-222200002-2-2-2-22-20000-22-2200000-2-2220000000000002-2000000000000
χ33222-22-2-2-2-2-2200002-222-2-2200002-2-220000000002i2i−2i−2i00000000002i−2i0000000000
χ34222-22-2-2-2-2-2200002-222-2-2200002-2-22000000000−2i−2i2i2i0000000000−2i2i0000000000
χ35222-22-2-2-2-2-2200002-222-2-220000-222-20000000002i2i−2i−2i0000000000−2i2i0000000000
χ36222-22-2-2-2-2-2200002-222-2-220000-222-2000000000−2i−2i2i2i00000000002i−2i0000000000
χ372-22-2-222-22-202i2i−2i−2i002-20002i−2i00000000000i2−i2i2−i22−22−2002-2002i−2i0000i2−i200002−200
χ382-22-2-222-22-202i2i−2i−2i002-20002i−2i00000000000i2−i2i2−i22−22−200-2200−2i2i0000−i2i20000−2200
χ392-22-2-222-22-202i2i−2i−2i002-20002i−2i00000000000−i2i2−i2i2−22−22002-2002i−2i0000−i2i20000−2200
χ402-22-2-222-22-202i2i−2i−2i002-20002i−2i00000000000−i2i2−i2i2−22−2200-2200−2i2i0000i2−i200002−200
χ412-22-2-222-22-20−2i−2i2i2i002-2000−2i2i00000000000i2−i2i2−i2−22−22002-200−2i2i0000i2−i20000−2200
χ422-22-2-222-22-20−2i−2i2i2i002-2000−2i2i00000000000i2−i2i2−i2−22−2200-22002i−2i0000−i2i200002−200
χ432-22-2-222-22-20−2i−2i2i2i002-2000−2i2i00000000000−i2i2−i2i22−22−2002-200−2i2i0000−i2i200002−200
χ442-22-2-222-22-20−2i−2i2i2i002-2000−2i2i00000000000−i2i2−i2i22−22−200-22002i−2i0000i2−i20000−2200
χ45444-44-4-4-444-40000-44-4-44-440000000000000000000000000000000000000000000
χ46444-44-4-4-4-4-4-40000-444444-40000000000000000000000000000000000000000000
χ4744-4-4-44-440004-44-400000000000000000000000000002i2−2i2002i2−2i20000000000000000
χ4844-4-4-44-440004-44-40000000000000000000000000000−2i22i200−2i22i20000000000000000
χ4944-4-4-44-44000-44-4400000000000000000000000000002i2−2i200−2i22i20000000000000000
χ5044-4-4-44-44000-44-440000000000000000000000000000−2i22i2002i2−2i20000000000000000
χ514-444-4-4-444-40000000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ524-444-4-4-444-40000000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ534-444-4-4-44-4400000004-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-444-4-4-44-4400000004-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ554-44-4-444-4-4404i4i−4i−4i00-44000−4i4i00000000000000000000000000000000000000000
χ564-44-4-444-4-440−4i−4i4i4i00-440004i−4i00000000000000000000000000000000000000000
χ574-4-4444-4-40044i−4i−4i4i-4-400400004i−4i000000000000000000000000000000000000000
χ584-4-4444-4-4004−4i4i4i−4i-4-40040000−4i4i000000000000000000000000000000000000000
χ594-4-4444-4-400-44i−4i−4i4i4400-40000−4i4i000000000000000000000000000000000000000
χ604-4-4444-4-400-4−4i4i4i−4i4400-400004i−4i000000000000000000000000000000000000000
χ614-4-4-44-4440040000-4400-400000000004i−4i000000000000000000000000000000000
χ624-4-4-44-4440040000-4400-40000000000−4i4i000000000000000000000000000000000
χ634-4-4-44-44400-400004-400400000000000004-4000000000000000000000000000000
χ644-4-4-44-44400-400004-40040000000000000-44000000000000000000000000000000
χ6588-88-8-88-8000000000000000000000000000000000000000000000000000000000

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