Finite Group Databasebeta

← Group #287366

Character table — Group #287366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
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
χ911111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11-1111-1-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1111-11-1-1-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-1-111111-1-1-11
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-11-111-1-1111-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-1-11-111-1-111-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11-1-1-111111-1-11-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1111-11-1-1-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111-1111-1-1-111-1-1-11
χ172222222222222-222-2-22-2-2-222-2-2-200000000000022220000-2-2-2-200000000000000
χ182222222222222-222-2-22-2-2-222-2-2-2000000000000-2-2-2-20000222200000000000000
χ19222222222222-22-2-222-22-2-2-2-222-20000000000000000000000002200-2-200000000
χ20222222222222-22-2-222-22-2-2-2-222-2000000000000000000000000-2-2002200000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-2-2-222200000000000022-2-20000-2-22200000000000000
χ2422222222-2-2-2-22-222-2-22-2-2-2-2-2222000000000000-2-222000022-2-200000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-220000000000000000000000002-200-2200000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-22000000000000000000000000-22002-200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ29222-2-22-2-222-2-2-202-20020002-2000i2i2−i2−i2i2i2−i2−i20000000000002-22-200000000i2−i2i2−i200
χ30222-2-22-2-222-2-2-202-20020002-2000i2i2−i2−i2i2i2−i2−i2000000000000-22-2200000000−i2i2−i2i200
χ31222-2-22-2-222-2-2-202-20020002-2000−i2−i2i2i2−i2−i2i2i20000000000002-22-200000000−i2i2−i2i200
χ32222-2-22-2-222-2-2-202-20020002-2000−i2−i2i2i2−i2−i2i2i2000000000000-22-2200000000i2−i2i2−i200
χ33222-2-22-2-2-2-222-202-2002000-22000i2i2−i2−i2−i2−i2i2i20000000000002-2-2200000000i2−i2−i2i200
χ34222-2-22-2-2-2-222-202-2002000-22000i2i2−i2−i2−i2−i2i2i2000000000000-222-200000000−i2i2i2−i200
χ35222-2-22-2-2-2-222-202-2002000-22000−i2−i2i2i2i2i2−i2−i20000000000002-2-2200000000−i2i2i2−i200
χ36222-2-22-2-2-2-222-202-2002000-22000−i2−i2i2i2i2i2−i2−i2000000000000-222-200000000i2−i2−i2i200
χ372-2-22-222-200002-22-22-2-222-20000000002i−2i2i−2i000000002i−2i2i−2i0000002-20000000000
χ382-2-22-222-200002-22-22-2-222-20000000002i−2i2i−2i00000000−2i2i−2i2i000000-220000000000
χ392-2-22-222-200002-22-22-2-222-2000000000−2i2i−2i2i000000002i−2i2i−2i000000-220000000000
χ402-2-22-222-200002-22-22-2-222-2000000000−2i2i−2i2i00000000−2i2i−2i2i0000002-20000000000
χ412-2-22-222-20000-22-22-222-22-2000002i−2i2i−2i0000000000002-2-2200000000002i−2i000000
χ422-2-22-222-20000-22-22-222-22-2000002i−2i2i−2i000000000000-222-20000000000−2i2i000000
χ432-2-22-222-20000-22-22-222-22-200000−2i2i−2i2i0000000000002-2-220000000000−2i2i000000
χ442-2-22-222-20000-22-22-222-22-200000−2i2i−2i2i000000000000-222-200000000002i−2i000000
χ45444-4-44-4-444-4-440-4400-4000-4400000000000000000000000000000000000000000
χ46444-4-44-4-4-4-44440-4400-40004-400000000000000000000000000000000000000000
χ4744-444-4-4-44-44-400000000000000000000000000022−2222−220000000000000000000000
χ4844-444-4-4-44-44-4000000000000000000000000000−2222−22220000000000000000000000
χ4944-444-4-4-4-44-4400000000000000000000000000022−22−22220000000000000000000000
χ5044-444-4-4-4-44-44000000000000000000000000000−222222−220000000000000000000000
χ5144-4-4-4-4444-4-440400-4-40400004-4000000000000000000000000000000000000000
χ5244-4-4-4-4444-4-440-400440-40000-44000000000000000000000000000000000000000
χ5344-4-4-4-444-444-40400-4-4040000-44000000000000000000000000000000000000000
χ5444-4-4-4-444-444-40-400440-400004-4000000000000000000000000000000000000000
χ554-44-44-44-4000004004-40-400000000000000022−2222−2200000000000000000000000000
χ564-44-44-44-4000004004-40-4000000000000000−2222−222200000000000000000000000000
χ574-44-44-44-400000-400-44040000000000000002i2−2i2−2i22i200000000000000000000000000
χ584-44-44-44-400000-400-4404000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-4-44-444-40000444-4-44-4-4-440000000000000000000000000000000000000000000
χ604-4-44-444-40000-4-4-444-444-440000000000000000000000000000000000000000000
χ614-4-4-444-44000040-4-40040000000022−22−22220000000000000000000000000000000000
χ624-4-4-444-44000040-4-400400000000−222222−220000000000000000000000000000000000
χ634-4-4-444-440000-404400-400000000000022−22−2222000000000000000000000000000000
χ644-4-4-444-440000-404400-4000000000000−222222−22000000000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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