Finite Group Databasebeta

← Group #339416

Character table — Group #339416

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-11-1111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11111-1-1111-1-1
χ17222222222-222-2-2-22-2-200002200-2-22222-2-20000000000000-200000000000
χ18222222222-222-2-2-22-2-200002200-2-2-2-2-2-2220000000000000200000000000
χ19222222222-222-2-2-22-2-20000-2-2002222-2-2220000000000000-200000000000
χ20222222222-222-2-2-22-2-20000-2-20022-2-222-2-20000000000000200000000000
χ2122222222-22-2-2222-2-2-222220022000000000000-2-200002-2-2000000000000
χ2222222222-22-2-2222-2-2-2222200-2-2000000000000-2-20000-222000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20022000000000000220000-2-22000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-200-2-200000000000022000022-2000000000000
χ25222-2-2-2-22-202-200020022−2−22-200002i−2i2i−2i0022−2−22−2i2i2−i2−i2000000i2−i20000000
χ26222-2-2-2-22-202-200020022−2−22-20000−2i2i−2i2i0022−2−22−2−i2−i2i2i2000000−i2i20000000
χ27222-2-2-2-22-202-200020022−2−2-2200002i−2i−2i2i00−2−2222−2−i2−i2i2i2000000i2−i20000000
χ28222-2-2-2-22-202-200020022−2−2-220000−2i2i2i−2i00−2−2222−2i2i2−i2−i2000000−i2i20000000
χ29222-2-2-2-22-202-2000200−2−2222-200002i−2i2i−2i00−2−222−22−i2−i2i2i2000000−i2i20000000
χ30222-2-2-2-22-202-2000200−2−2222-20000−2i2i−2i2i00−2−222−22i2i2−i2−i2000000i2−i20000000
χ31222-2-2-2-22-202-2000200−2−222-2200002i−2i−2i2i0022−2−2−22i2i2−i2−i2000000−i2i20000000
χ32222-2-2-2-22-202-2000200−2−222-220000−2i2i2i−2i0022−2−2−22−i2−i2i2i2000000i2−i20000000
χ3322-22-22-2-22-2-2-22-222-2200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ3422-22-22-2-22-2-2-22-222-2200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ3522-22-22-2-22-2-2-22-222-220000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ3622-22-22-2-22-2-2-22-222-220000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-4440-44000-4002222−22−220000000000000000−22220000000000000000000
χ39444-4-4-4-4440-44000-400−22−222222000000000000000022−220000000000000000000
χ4044-44-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ4144-44-44-4-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ4244-44-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4344-4-44-44-4404-4000-400000000004-40000000000000000000000000000000
χ4444-4-44-44-4404-4000-40000000000-440000000000000000000000000000000
χ4544-4-44-44-4-40-4400040000000000000000002i2−2i2−2i22i2000000000000000000000
χ4644-4-44-44-4-40-440004000000000000000000−2i22i22i2−2i2000000000000000000000
χ474-4444-4-4-40400-4-44000000000000000000000000022−2222−22000000000000000
χ484-4444-4-4-40400-4-440000000000000000000000000−2222−2222000000000000000
χ494-4444-4-4-40-40044-40004-44-40000000000000000000000000000000000000
χ504-4444-4-4-40-40044-4000-44-440000000000000000000000000000000000000
χ514-44-4-444-4000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ524-44-4-444-4000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ534-44-4-444-40000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ544-44-4-444-40000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ554-4-44-4-44404004-4-400000000000000000000000000000000000002i2−2i200000
χ564-4-44-4-44404004-4-40000000000000000000000000000000000000−2i22i200000
χ574-4-44-4-4440-400-4440000000004-4000000000000000000000000000000000
χ584-4-44-4-4440-400-444000000000-44000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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